{ "cells": [ { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "# Weighted Belief Propagation Decoding\n", "\n", "This notebooks implements the *Weighted Belief Propagation* (BP) algorithm as proposed by Nachmani *et al.* in [1].\n", "The main idea is to leverage BP decoding by additional trainable weights that scale each outgoing variable node (VN) and check node (CN) message. These weights provide additional degrees of freedom and can be trained by stochastic gradient descent (SGD) to improve the BP performance for the given code. If all weights are initialized with *1*, the algorithm equals the *classical* BP algorithm and, thus, the concept can be seen as a generalized BP decoder.\n", "\n", "Our main focus is to show how Sionna can lower the barrier-to-entry for state-of-the-art research.\n", "For this, you will investigate:\n", "\n", "* How to implement the multi-loss BP decoding with Sionna\n", "* How a single scaling factor can lead to similar results\n", "* What happens for training of the 5G LDPC code\n", "\n", "The setup includes the following components:\n", "\n", "- LDPC BP Decoder\n", "- Gaussian LLR source\n", "\n", "Please note that we implement a simplified version of the original algorithm consisting of two major simplifications:\n", "\n", "1. ) Only outgoing variable node (VN) messages are weighted. This is possible as the VN operation is linear and it would only increase the memory complexity without increasing the *expressive* power of the neural network.\n", "\n", "2. ) We use the same shared weights for all iterations. This can potentially influence the final performance, however, simplifies the implementation and allows to run the decoder with different number of iterations.\n", "\n", "\n", "**Note**: If you are not familiar with all-zero codeword-based simulations please have a look into the [Bit-Interleaved Coded Modulation](https://nvlabs.github.io/sionna/phy/tutorials/notebooks/Bit_Interleaved_Coded_Modulation.html) example notebook first.\n", "\n", "## Table of Contents\n", "* [Configuration and Imports](#Configuration-and-Imports)\n", "* [Weighted BP for BCH Codes](#Weighted-BP-for-BCH-Codes)\n", " * [Weights *before* Training and Simulation of BER](#Weights-before-Training-and-Simulation-of-BER)\n", " * [Training](#Training)\n", " * [Results](#Results)\n", "* [Further Experiments](#Further-Experiments)\n", " * [Damped BP](#Damped-BP)\n", " * [Learning the 5G LDPC Code](#Learning-the-5G-LDPC-Code)\n", "* [References](#References)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ 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Model](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Configuration and Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:11.017174Z", "iopub.status.busy": "2026-08-06T22:02:11.017056Z", "iopub.status.idle": "2026-08-06T22:02:14.130169Z", "shell.execute_reply": "2026-08-06T22:02:14.129226Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using device: cuda:0\n" ] } ], "source": [ "# Import Sionna\n", "try:\n", " import sionna.phy\n", "except ImportError as e:\n", " import os\n", " import sys\n", " if 'google.colab' in sys.modules:\n", " # Install Sionna in Google Colab\n", " print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n", " os.system(\"pip install sionna\")\n", " os.kill(os.getpid(), 5)\n", " else:\n", " raise e\n", "\n", "import torch\n", "import torch.nn.functional as F\n", "\n", "sionna.phy.config.seed = 42 # Set seed for reproducible random number generation\n", "device = sionna.phy.config.device\n", "\n", "# Import required Sionna components\n", "from sionna.phy.fec.ldpc import LDPCBPDecoder, LDPC5GEncoder, LDPC5GDecoder, WeightedBPCallback\n", "from sionna.phy.fec.utils import GaussianPriorSource, load_parity_check_examples, llr2mi\n", "from sionna.phy.utils import ebnodb2no, hard_decisions\n", "from sionna.phy.utils.metrics import compute_ber\n", "from sionna.phy.utils.plotting import PlotBER\n", "from sionna.phy import Block\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "print(f\"Using device: {device}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Weighted BP for BCH Codes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we define the trainable model consisting of:\n", "\n", "- LDPC BP decoder\n", "- Gaussian LLR source\n", "\n", "The idea of the multi-loss function in [1] is to average the loss overall iterations, i.e., not just the final estimate is evaluated. This requires to call the BP decoder *iteration-wise* by setting `num_iter=1` and `return_state=True` such that the decoder will perform a single iteration and returns its current estimate while also providing the internal messages for the next iteration.\n", "\n", "A few comments:\n", "\n", "- We assume the transmission of the all-zero codeword. This allows to train and analyze the decoder without the need of an encoder. Remark: The final decoder can be used for arbitrary codewords.\n", "- We directly generate the channel LLRs with `GaussianPriorSource`. The equivalent LLR distribution could be achieved by transmitting the all-zero codeword over an AWGN channel with BPSK modulation.\n", "- For the proposed *multi-loss* [1] (i.e., the loss is averaged over all iterations), we need to access the decoders intermediate output after each iteration. This is done by calling the decoding function multiple times while setting `return_state` to True, i.e., the decoder continuous the decoding process at the last message state.\n", "\n", "\n", "The BP decoder itself does not have any trainable weights. However, the LDPCBPDecoder API allows to register custom callback functions after each VN/CN node update step. In this tutorial, we use the `WeightedBPCallback` to apply trainable weights to each exchanged internal decoder message. Similarly, offset-corrected BP can be made trainable." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:14.177138Z", "iopub.status.busy": "2026-08-06T22:02:14.176835Z", "iopub.status.idle": "2026-08-06T22:02:14.181519Z", "shell.execute_reply": "2026-08-06T22:02:14.180792Z" } }, "outputs": [], "source": [ "class WeightedBP(Block):\n", " \"\"\"System model for BER simulations of weighted BP decoding.\n", "\n", " This model uses `GaussianPriorSource` to mimic the LLRs after demapping of\n", " QPSK symbols transmitted over an AWGN channel.\n", "\n", " Parameters\n", " ----------\n", " pcm: ndarray\n", " The parity-check matrix of the code under investigation.\n", "\n", " num_iter: int\n", " Number of BP decoding iterations.\n", "\n", " Input\n", " -----\n", " batch_size: int\n", " The batch_size used for the simulation.\n", "\n", " ebno_db: float\n", " A float defining the simulation SNR.\n", "\n", " Output\n", " ------\n", " (u, u_hat, loss):\n", " Tuple:\n", "\n", " u: torch.Tensor\n", " A tensor of shape `[batch_size, k] of 0s and 1s containing the transmitted information bits.\n", "\n", " u_hat: torch.Tensor\n", " A tensor of shape `[batch_size, k] of 0s and 1s containing the estimated information bits.\n", "\n", " loss: torch.Tensor\n", " Binary cross-entropy loss between `u` and `u_hat`.\n", " \"\"\"\n", "\n", " def __init__(self, pcm, num_iter=5):\n", " super().__init__()\n", "\n", " # add trainable weights via decoder callbacks\n", " # Pass PCM to enable proper weight application in padded format\n", " self.edge_weights = WeightedBPCallback(num_edges=np.sum(pcm), pcm=pcm)\n", "\n", " # init components\n", " self.decoder = LDPCBPDecoder(pcm,\n", " num_iter=1, # iterations are done via outer loop (to access intermediate results for multi-loss)\n", " return_state=True, # decoder stores internal messages after call\n", " hard_out=False, # we need to access soft-information\n", " cn_update=\"boxplus\",\n", " v2c_callbacks=[self.edge_weights]) # register callback to make the decoder trainable\n", "\n", " # used to generate llrs during training (see example notebook on all-zero codeword trick)\n", " self.llr_source = GaussianPriorSource()\n", " self._num_iter = num_iter\n", "\n", " def call(self, batch_size, ebno_db):\n", " noise_var = ebnodb2no(ebno_db,\n", " num_bits_per_symbol=2, # QPSK\n", " coderate=self.decoder.coderate)\n", "\n", " # all-zero CW to calculate loss / BER\n", " c = torch.zeros(batch_size, self.decoder.n, device=self.device)\n", "\n", " # Gaussian LLR source\n", " llr = self.llr_source([batch_size, self.decoder.n], no=noise_var)\n", "\n", " # --- implement multi-loss as proposed by Nachmani et al. [1]---\n", " loss = 0.0\n", " msg_v2c = None # internal state of decoder\n", " for i in range(self._num_iter):\n", " c_hat, msg_v2c = self.decoder(llr, msg_v2c=msg_v2c) # perform one decoding iteration; decoder returns soft-values\n", " loss = loss + F.binary_cross_entropy_with_logits(c_hat, c) # add loss after each iteration\n", "\n", " loss = loss / self._num_iter # scale loss by number of iterations\n", "\n", " return c, c_hat, loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load a parity-check matrix used for the experiment. We use the same BCH(63,45) code as in [1].\n", "The code can be replaced by any parity-check matrix of your choice. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:14.183270Z", "iopub.status.busy": "2026-08-06T22:02:14.183145Z", "iopub.status.idle": "2026-08-06T22:02:14.350763Z", "shell.execute_reply": "2026-08-06T22:02:14.349916Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "n: 63, k: 45, coderate: 0.714\n" ] }, { "data": { "text/plain": [ "WeightedBP(\n", " (edge_weights): WeightedBPCallback()\n", " (decoder): LDPCBPDecoder()\n", " (llr_source): GaussianPriorSource()\n", ")" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pcm_id = 1 # (63,45) BCH code parity check matrix\n", "pcm, k , n, coderate = load_parity_check_examples(pcm_id=pcm_id, verbose=True)\n", "\n", "num_iter = 10 # set number of decoding iterations\n", "\n", "# and initialize the model\n", "model = WeightedBP(pcm=pcm, num_iter=num_iter)\n", "model.to(device)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: weighted BP tends to work better for small number of iterations.\n", "The effective gains (compared to the baseline with same number of iterations)\n", "vanish with more iterations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Weights *before* Training and Simulation of BER\n", "\n", "Let us plot the weights after initialization of the decoder to verify that everything is properly initialized.\n", "This is equivalent the *classical* BP decoder." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:14.352725Z", "iopub.status.busy": "2026-08-06T22:02:14.352583Z", "iopub.status.idle": "2026-08-06T22:02:14.487134Z", "shell.execute_reply": "2026-08-06T22:02:14.486427Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of weights: 432\n" ] }, { "data": { "image/png": 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Dhg2TzXax1JCQEEVERGjRokV5rrcoYwAAAEzhVTeBzZkzRxUqVFDbtm0lSQcOHJDD4VCjRo3c+jVq1EgJCQl5rqMoYyTJ4XDI4XC4XqelpUm6GAadTmeR9udqkHNsOEZli3nwHsyF92AuvAPz4JnCHB+vCW+rVq3S5MmT9dprr6lGjRqSpIyMDElS5cqV3foGBga6lv1ZUcZI0owZMzR16tRc7bGxsQoICPB8R65ScXFxZV0CxDx4E+bCezAX3oF5KFhBGeXPvCK8rVu3Trfffruio6P12GOPudpzAtjp06fd+p86dSpXOLucMZI0ceJEjRs3zvU6LS1NwcHB6tWrlwIDAwuzO1cVp9OpuLg4RUZGys/Pr6zLuWoxD94jZy4mJdrkyPYpse3smBJVYuu+UvC+8A7Mg2dyrvh5oszD2/r169W7d289/vjjev75592WhYSEqFKlStq1a5d69+7tat+1a5eaNm2a5/qKMkaS7Ha77HZ7rnY/Pz9+2TzAcfIOzIP3cGT7yJFVcuGNefYc7wvvwDwUrDDHpkwf0rtx40ZXcHvxxRdzLbfZbLrjjjs0Z84cZWZmSpK2b9+uhIQEDR482NVv3rx5mjlzZqHGAAAAmKjMzrz9/vvvioqKkr+/v37//Xc98cQTrmVDhw5Vhw4dJEkxMTHq1q2b2rZtq5YtW2rp0qUaPny4+vXr5+ofFxenDRs2aMKECR6PAQAAMFGZhTdfX19NmTIlz2V/vDftmmuu0Q8//KBvv/1WKSkpGjlypLp06eLWf+jQoYqIiCjUGAAAABOVWXjz9/d3O9tWkAoVKmjgwIH5Lr/lllsKPQYAAMBEfDE9AACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDfsi5AkuLj47Vr1y716dNHQUFBbsv++c9/yul05hoTHh6uLl265Lm+hIQE7dy5062tevXqGjhwYPEVDQAAUAbKNLz95z//0YQJE+Tr66tt27Zp1apVucLb5s2blZmZ6Xqdnp6uL7/8Ui+++GK+4e3TTz/VsmXL1LNnT1dbvXr1CG8AAMB4ZRrebDabvvjiC1WtWlXBwcF59nnzzTfdXr/zzjv6+uuvdd999xW47tatW+uDDz4orlIBAAC8QpmGt1tvvVWSdOjQIY/HfPjhh+rTp4/q1q1bYL/jx49r7ty5qlKlitq0aaM6depcVq0AAADewCvuefPU9u3blZiYqCVLllyy7969e7Vo0SIlJycrKSlJr7zyikaNGpVvf4fDIYfD4XqdlpYmSXI6nXnec4eLco4Nx6hsMQ/eI2cO7DarVLaD/PG+8A7Mg2cKc3x8LMsq2b9hPHDo0CEFBwdr1apVioiIyLff448/rgULFmj//v0qV65cvv3Wr1+vNm3ayM/PT5L0/vvv69FHH9WmTZvUqlWrPMdMmTJFU6dOzdU+d+5cBQQEFG6HAAAACiEjI0PDhg3TmTNnFBgYWGBfY8Kbw+FQ3bp19dhjj+n5558v9DZq166tcePGKTo6Ot/1//nMW3BwsE6cOHHJg3g1czqdiouLU2RkpCsso/QxD94jZy4mJdrkyPYpse3smBJVYuu+UvC+8A7Mg2fS0tJUs2ZNj8KbMZdNFy5cqNOnT+uBBx4o0vgKFSooNTU13+V2u112uz1Xu5+fH79sHuA4eQfmwXs4sn3kyCq58MY8e473hXdgHgpWmGNjzEN6P/zwQ0VGRiosLCzXsvj4eC1YsECSlJWVpYMHD7otX79+vQ4ePKiOHTuWRqkAAAAlpkzPvP36669as2aNTp06Jenic9/27NmjVq1aud2btm/fPq1YsUJfffVVnuuZM2eONmzYoIEDB8qyLN16663q1KmTmjVrpgMHDui9997T4MGD1a9fv1LZLwAAgJJSpuHt+PHj2rBhgyTpwQcf1KlTp7RhwwbVrl3bLbzt3btXI0eO1O23357nerp27ap69epJknx9fbVlyxbNmzdPSUlJqlatmhYvXqzu3buX/A4BAACUsDINb506dVKnTp0u2a9nz55u35bwZ/fee6/ba7vdrhEjRmjEiBGXXSMAAIA3MeaeNwAAABDeAAAAjEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCC+ZV2AJB05ckR79+5VixYtVKVKFbdle/fu1ZEjR9zaKlasqJYtW15yvQcPHlRKSoquu+46BQYGFmvNAAAAZaFMw1tiYqJiYmL0/fff6/jx41q1apUiIiLc+rz88suaP3++wsPDXW0NGzbUJ598ku96MzMzdffdd+vbb79VaGio9u/fr5kzZ2rMmDEltSsAAAClokzD244dOzRkyBC9/PLLatiwYb79IiIiNH/+fI/XO3XqVG3atEl79+5VUFCQFi1apAEDBqhdu3Zq3759cZQOAABQJsr0nrf77rtPgwYNkp+fX4H9MjMztXXrVu3du1fZ2dmXXO/HH3+shx56SEFBQZKk/v37q3nz5vr444+LpW4AAICy4hX3vF3KsmXLdODAAR09elR2u13vvvuubrvttjz7Hj58WCkpKWrdurVbe7t27ZSUlJTvNhwOhxwOh+t1WlqaJMnpdMrpdBbDXlyZco4Nx6hsMQ/eI2cO7DarVLaD/PG+8A7Mg2cKc3y8PrxFRUXp+eefV+3atZWVlaWJEydq0KBB2r59uxo1apSrf2pqqiSpRo0abu01atRwLcvLjBkzNHXq1FztsbGxCggIuMy9uPLFxcWVdQkQ8+BNprW59FWCy7F06dISXf+VhPeFd2AeCpaRkeFxX68PbwMGDHD9XK5cOc2YMUPvvfeeFi9erCeffDJX/5xLsJmZmW7t586dU/ny5fPdzsSJEzVu3DjX67S0NAUHB6tXr158UrUATqdTcXFxioyMvOTlb5Qc5sF75MzFpESbHNk+JbadHVOiSmzdVwreF96BefBMzhU/T3h9ePuzcuXKqUaNGkpOTs5zeXBwsGw2W67lycnJCgkJyXe9drtddrs9V7ufnx+/bB7gOHkH5sF7OLJ95MgqufDGPHuO94V3YB4KVphj49UP6bUsS+fOnXNr+/XXX7V//341b97c1bZnzx7X/WwBAQHq1KmTFi9e7Fp+9uxZLV++XJGRkaVTOAAAQAkp0zNvx44d0+7du3X8+HFJ0o8//ihfX1+FhIQoJCRETqdTrVu31kMPPaRmzZrpwIEDmj59ulq1aqW77rrLtZ6YmBht2LBBO3bskCS98MILioyM1MSJE9WxY0fNnj1btWvX1siRI8tkPwEAAIpLmZ5527Jli6Kjo/Xqq6+qc+fOmjdvnqKjo7V8+XJJUvny5bVixQqdOHFCr7/+ulatWqVnnnlGCQkJbpc4r732WrVq1cr1ulu3blq1apX279+vWbNmqVmzZoqPj1elSpVKfR8BAACKU5meebv11lt16623FtgnKChI06dPL7DPhAkTcrV17txZnTt3vqz6AAAAvI1X3/MGAAAAd4Q3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMIhvWRcgSVlZWUpPT1elSpXk65t3SRcuXFC5cuXk4+NzyfWdO3dODofDra1cuXKqXLlysdQLAABQVsr0zNvhw4c1ZcoUhYaGqlq1aoqPj8/V59///re6du2qqlWrqmLFiurZs6e2b99e4HqffPJJ1a5dW2FhYa4/UVFRJbUbAAAApaZMw9s///lPWZal+fPn57k8KytLH3/8sWJiYnTy5EkdPXpUQUFBioqK0pkzZwpc9+23367Tp0+7/qxbt64kdgEAAKBUlell04kTJ0qSDh06lOfycuXKadGiRa7XdrtdM2fOVP369bVx40b16tWrwPU7HA6VL1/eo0utAAAAJjDuAwsHDhyQJNWsWbPAfkuWLFFgYKAqVaqkXr166eeffy6N8gAAAEqUV3xgwVMOh0Njx45Vp06d1LJly3z7tWjRQsuXL1enTp107NgxjR49Wj169NCOHTvyDX0Oh8PtQw5paWmSJKfTKafTWbw7cgXJOTYco7LFPHiPnDmw26xS2Q7yx/vCOzAPninM8fGxLKtk/4bxwKFDhxQcHKxVq1YpIiIizz4XLlzQkCFDlJiYqISEBNWvX9/j9Z89e1a1atXSK6+8olGjRuXZZ8qUKZo6dWqu9rlz5yogIMDjbQEAABRWRkaGhg0bpjNnzigwMLDAvkacecvKytLw4cO1efNmrVmzplDBTZIqVqyo+vXr67fffsu3z8SJEzVu3DjX67S0NAUHB6tXr16XPIhXM6fTqbi4OEVGRsrPz6+sy7lqMQ/eI2cuJiXa5Mguufttd0zhE/SXwvvCOzAPnsm54ucJrw9vOcFt3bp1Wr16tRo0aJCrz7lz53ThwoV8n+N2/Phx7d+/XyEhIflux263y26352r38/Pjl80DHCfvwDx4D0e2jxxZJRfemGfP8b7wDsxDwQpzbMr0Awvnz5/X6dOnXWnz999/1+nTp5WZmSlJys7O1r333quVK1dq0aJFql69uuvRH+fPn3etZ8yYMerYsaOki/eu9ejRQ7GxsUpOTtb69es1YMAA1apVS8OHDy/9nQQAAChGZRre5s+fr7CwMHXq1ElVqlTR8OHDFRYWptdff12SdPr0aX3zzTeuQPbHh+7OmzfPtZ6AgADXpU273a5p06bpzTffVIcOHfTXv/5VN954o7Zs2aJq1aqVxW4CAAAUmzK9bDps2DANGzYs3+U5Z9ou5Y033nB73blzZy1evPhyywMAAPA6xj3nDQAA4GpGeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIEUKb9u3by/uOgAAAOCBIoW3G2+8UW3atNFbb72l06dPF3NJAAAAyE+RwtvPP/+s7t276/nnn1dQUJDuvvturVixQpZlFXd9AAAA+IMihbcmTZro5Zdf1qFDh/TFF1/o999/V+/evdWwYUNNnTpV+/fvL+46AQAAoMv8wIKvr6/69eunefPm6aWXXtLhw4c1ZcoUNWzYUIMGDVJycnJx1QkAAABdZnhLTEzUqFGjFBQUpJdeeklPPvmkfv31V61du1a///67+vfvX0xlAgAAQJJ8izLo9ddf10cffaSff/5ZUVFR+uijj9S3b1/5+l5cXePGjfX111+rcuXKxVosAADA1a5I4W3WrFm6//779cADD6h+/fp59gkICNC77757WcUBAADAXZEum7Zr107PPfdcnsFt6NChrp8feuiholcGAACAXIoU3r788ss82y3LyncZAAAALl+hLpv+8YG8f344b3Z2thISEhQUFFQcdQEAACAPhQpv1apVy/PnHDabTTNnzrz8qgAAAJCnQoW3zZs3S5Latm3r+jmHn5+fgoODVb169eKrDgAAAG4KFd7atGkjSfrtt98UFhZWEvUAAACgAB6HtxMnTkiSatasqUqVKrle56VmzZqXXxkAAABy8Ti81apVS9LFT5Tm/JwfvqAeAACgZHgc3pKSkvL8GQAAAKXH4/B200035flzjvT0dFWqVEk+Pj7FURcAAADyUKSH9O7cuVMTJkxwvR47dqwCAwNVt25d/fDDD8VVGwAAAP6kSOFt3LhxioyMlCTt3r1bH374ob755hvdddddeuaZZ4q1QAAAAPxPkb6Yft26dZo/f74kadmyZerXr5/69Omjzp07q0GDBsVaIAAAAP6nSGfe/P39dfToUUnSt99+qx49ekiSzp8/r/LlyxdfdQAAAHBTpDNvffr00cCBA9W6dWutXbtWc+bMkSStWLHCdTkVAAAAxa9IZ97efPNN3X777bpw4YKWLFmi2rVrS5LWrl2ryZMnF2uBAAAA+J8inXkLCAjQtGnTcrW/9dZbl10QAAAA8lek8CZJ2dnZOnTokFJTU3Mty+s5cAAAALh8Rf606bBhw7R///48l/P1WAAAACWjSOHtscceU1RUlMaPH69q1aoVd00AAADIR5HC2+7du7VmzRoFBgYWdz0AAAAoQJE+bdq4cWMdO3asuGsBAADAJRQpvI0fP14PPfSQfvzxR507d06ZmZlufwAAAFAyinTZdMSIEZKkG264Ic/lfGABAACgZBQpvK1du7a46wAAAIAHihTeunTpUtx1AAAAwANFuudNkpxOpxISEvTpp5+62k6ePFnodcyfP1+33HKL6tevr/Xr1+fZ78svv1Tnzp3VuHFjDRgwQDt37rzkuosyBgAAwNsVKbwdOHBArVq1Us+ePV33v0nSww8/rCVLlni8nmeffVaff/65RowYoeTkZDkcjlx9Fi5cqLvvvlv33HOPvv76a1WuXFndunXT8ePH811vUcYAAACYoEjh7cknn1THjh2Vlpbm1j5+/HjFxMR4vJ6YmBh9/fXX6tGjR759pk2bpnvvvVePPPKIbrzxRn300UeyLEtvv/12sY4BAAAwQZHC25o1azR9+nSVL1/erb1FixbasmWLx+spV65cgcvT0tKUlJSkyMhIV5uvr6969uyp77//vtjGAAAAmKJIH1jIzMyUzXYx9/n4+Ljajxw5ooCAgOKpTFJycrIk6ZprrnFrr1OnjrZt21ZsYyTJ4XC4XbbNOavodDrldDoLX/xVIufYcIzKFvPgPXLmwG4r2UcmMdeXxvvCOzAPninM8SlSeIuIiNA777yjZ5991hXezp49q6efflq33HJLUVaZp+zs7ItF+rqX6efnp6ysrGIbI0kzZszQ1KlTc7XHxsYWayC9UsXFxZV1CRDz4E2mtcku0fUvXbq0RNd/JeF94R2Yh4JlZGR43LdI4e2VV17RzTffrKVLl8qyLA0aNMj17LeEhISirDJPtWrVkiSdOHHCrf3EiROuZcUxRpImTpyocePGuV6npaUpODhYvXr14jtcC+B0OhUXF6fIyEj5+fmVdTlXLebBe+TMxaREmxzZPpceUEQ7pkSV2LqvFLwvvAPz4Jk/f46gIEUKb+Hh4dqxY4feffdd1ahRQ5mZmfrrX/+qUaNGqU6dOkVZZZ5q166t0NBQJSQkqF+/fq72+Ph49e3bt9jGSJLdbpfdbs/V7ufnxy+bBzhO3oF58B6ObB85skouvDHPnuN94R2Yh4IV5tgUKbxJF0PSpEmTijrcY4899phiYmJ09913q0WLFnrzzTd14MABjRw50tXnmWee0datW7V8+XKPxwAAAJjI4/B26NAhj1dav359j/p99dVXevLJJ133og0aNEh2u13jxo1zXcJ86qmndOTIEXXo0EHlypVTYGCgvvjiCzVp0sS1ntTUVB09etT12pMxAAAAJvI4vAUHB3u8Uk+/mL5Pnz7q2LFjrvY/3mNms9n097//XTExMTpz5oxq1qzp9glXSXr55Zd1/vz5Qo0BAAAwkcfh7ddff3X9vGzZMk2fPl2TJk1S27ZtJUmbN2/W888/r7/97W8ebzwgIMDjT3KWL18+3w8cVKtWrdBjAAAATORxeGvcuLHr58GDB2v+/PluZ81at26tG264QWPGjNGoUaOKt0oAAABIKuI3LOzatSvP+8eaNGmiXbt2XXZRAAAAyFuRwltYWJhef/31XO2zZs1SWFjYZZYEAACA/BTpUSGzZs1Sv3799NVXX6lNmzayLEuJiYnav3+/Fi9eXNw1AgAA4P8r0pm3yMhI7dmzR3feeacyMjJ07tw5DRo0SHv27FHPnj2Lu0YAAAD8f0V+SG/dunXz/C5QAAAAlJwinXkDAABA2SC8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYxLesC7iUvn376ty5c7na+/TpoyeffDLPMbNmzdKSJUvc2ho0aKD333+/RGoEAAAoLV4f3p566ilduHDB9Xr37t167LHH9OCDD+Y7ZufOnTp//ryee+45V1ulSpVKtE4AAIDS4PXhLSIiwu11bGysqlevroEDBxY4rnbt2rrllltKsDIAAIDS5/Xh7Y+cTqc++eQTjRgxQna7vcC+W7du1e23364qVaqoa9euevDBB1WuXLlSqhQAAKBkGBXevvnmG6WkpOjhhx8usJ/dblffvn3VrVs3JScna9q0afryyy8VGxsrmy3vz2g4HA45HA7X67S0NEkXA6PT6Sy+nbjC5BwbjlHZYh68R84c2G1WqWwH+eN94R2YB88U5vj4WJZVsn/DFKO//OUvOnXqlBISEgrsd/bsWVWsWNH1eufOnWrevLnmzZunO++8M88xU6ZM0dSpU3O1z507VwEBAZdXOAAAQAEyMjI0bNgwnTlzRoGBgQX2NSa8HT58WCEhIfrggw903333FXp8o0aNNGTIEE2fPj3P5XmdeQsODtaJEycueRCvZk6nU3FxcYqMjJSfn19Zl3PVYh68R85cTEq0yZHtU2Lb2TElqsTWfaXgfeEdmAfPpKWlqWbNmh6FN2Mum86ZM0eVKlXS4MGDCz02Oztbqamp8vf3z7eP3W7P8z46Pz8/ftk8wHHyDsyD93Bk+8iRVXLhjXn2HO8L78A8FKwwx8aIh/RalqWPPvpId999d56XMP/+97+77oNzOp36xz/+oaysLNfYKVOmKD09XQMGDCjVugEAAIqbEWfe1qxZo7179+qhhx7Kc/nPP/+sDRs2SJLKlSunPXv2qF69emrQoIEOHToky7I0b948tWjRojTLBgAAKHZGhLfQ0FCtWrVKLVu2zHP5U089pTNnzkiSbDabXnvtNT3//PP6+eefVa1aNTVo0IBTtQAA4IpgRHhr0KCBGjRokO/yJk2a5GqrXLmy2rdvX5JlAQAAlDoj7nkDAADARYQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMIhvWRdwKV999ZUSEhLc2oKCgjRhwoQCx6WkpGju3LlKSUlRixYtNGTIEPn6ev3uAgAAFMjrz7ytWLFCq1evVlhYmOtPvXr1Chzz66+/qkWLFvruu+/k5+enyZMnq3fv3srKyiqlqgEAAEqGEaeiGjdurCeeeMLj/hMmTFB4eLi+/fZb2Ww2Pfzww2rcuLHmzp2re+65p+QKBQAAKGFef+ZNkvbu3atnn31WM2fO1Lp16wrs63Q6tXTpUg0bNkw228XdCwkJUUREhBYtWlQK1QIAAJQcrz/z5uPjo+rVq8vf31///e9/NWXKFD300EOaPXt2nv0PHDggh8OhRo0aubU3atQo171zf+RwOORwOFyv09LSJF0Mg06nsxj25MqUc2w4RmWLefAeOXNgt1mlsh3kj/eFd2AePFOY4+P14S06OlqhoaGu10OHDlWPHj3Ur18/3XLLLbn6Z2RkSJIqV67s1h4YGOhalpcZM2Zo6tSpudpjY2MVEBBQ1PKvGnFxcWVdAsQ8eJNpbbJLdP1Lly4t0fVfSXhfeAfmoWAFZZQ/8/rw9sfgJkndu3dXcHCw4uPj8wxvOaHt9OnTbu2nTp3KFej+aOLEiRo3bpzrdVpamoKDg9WrVy8FBgZexh5c2ZxOp+Li4hQZGSk/P7+yLueqxTx4j5y5mJRokyPbp8S2s2NKVImt+0rB+8I7MA+eybni5wmvD295OX/+fL6nF0NCQlSpUiXt2rVLvXv3drXv2rVLTZs2zXeddrtddrs9V7ufnx+/bB7gOHkH5sF7OLJ95MgqufDGPHuO94V3YB4KVphj49UfWLhw4YLWrFnj1pbz7LZevXq52ubNm6eZM2dKkmw2m+644w7NmTNHmZmZkqTt27crISFBgwcPLr3iAQAASoBXhzcfHx9Nnz5dnTp10sMPP6yoqCg9+OCDmjZtmrp16+bqFxcXp08//dT1OiYmRufOnVPbtm01YsQI9ejRQ8OHD1e/fv3KYjcAAACKjVdfNi1XrpyWLVumrVu3KikpSbfeeqs+/PBD1a9f363f0KFDFRER4Xp9zTXX6IcfftC3336rlJQUjRw5Ul26dCnl6gEAAIqfV4e3HK1atVKrVq3yXZ7XBxcqVKiggQMHlmRZAAAApc6rL5sCAADAHeENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADEJ4AwAAMAjhDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDAAAwCOENAADAIIQ3AAAAgxDeAAAADOJb1gV4Ijk5WZs2bZKvr6/atGmjoKCgAvsnJCRo586dbm3Vq1fXwIEDS7JMAACAEufV4c2yLI0YMUJr165Vq1atlJGRobVr1yomJkZjxozJd9ynn36qZcuWqWfPnq62evXqEd4AAIDxvD68RUVFac6cOSpXrpwkac6cOXrwwQfVp08fNWzYMN+xrVu31gcffFBapQIAAJQKr77nzWazafjw4a7gJkm33XabsrOztWvXrgLHHj9+XHPnztV//vMfpaSklHSpAAAApcKrz7zlZenSpbLZbGrRokWB/fbu3atFixYpOTlZSUlJeuWVVzRq1Kh8+zscDjkcDtfrtLQ0SZLT6ZTT6Sye4q9AOceGY1S2mAfvkTMHdptVKttB/nhfeAfmwTOFOT4+lmWV7N8wxWj37t3q0KGD7r//fr366qv59lu/fr3atGkjPz8/SdL777+vRx99VJs2bVKrVq3yHDNlyhRNnTo1V/vcuXMVEBBQPDsAAACQh4yMDA0bNkxnzpxRYGBggX2NCW/79u3TzTffrA4dOujzzz93u5Tqidq1a2vcuHGKjo7Oc3leZ96Cg4N14sSJSx7Eq5nT6VRcXJwiIyNdYRmlj3nwHjlzMSnRJke2T4ltZ8eUqBJb95WC94V3YB48k5aWppo1a3oU3oy4bLp//35FRESoXbt2mjt3bqGDmyRVqFBBqamp+S632+2y2+252v38/Phl8wDHyTswD97Dke0jR1bJhTfm2XO8L7wD81Cwwhwbr/7AgiQdOHBAERERatOmjb744gv5+ubOm/Hx8VqwYIEkKSsrSwcPHnRbvn79eh08eFAdO3YslZoBAABKilefecvMzFSPHj2UkZGhW265RXPmzHEt69q1q66//npJFx8fsmHDBg0cOFCWZenWW29Vp06d1KxZMx04cEDvvfeeBg8erH79+pXRngAAABQPrw5vFy5cUEREhCQpMTHRbVl4eLgrvHXt2lX16tWTJPn6+mrLli2aN2+ekpKSVK1aNS1evFjdu3cv1doBAABKgleHt0qVKnn0oN17773X7bXdbteIESM0YsSIkioNAACgTHj9PW8AAAD4H8IbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBBCG8AAAAGIbwBAAAYhPAGAABgEMIbAACAQQhvAAAABiG8AQAAGMSY8Hbw4EElJiYqLS2tRMcAAAB4M68Pb5mZmbrjjjt0/fXX65577tE111yj2bNnF/sYAAAAE/iWdQGXMnXqVG3atEl79+5VUFCQFi1apAEDBqhdu3Zq3759sY0BAAAwgdefefv444/10EMPKSgoSJLUv39/NW/eXB9//HGxjgEAADCBV595O3z4sFJSUtS6dWu39nbt2ikpKanYxkiSw+GQw+FwvT5z5owkKTU1VU6ns6i7cMVzOp3KyMjQyZMn5efnV9blXLWYB++RMxe+Tpuysn1KbDsnT54ssXVfKXhfeAfmwTPp6emSJMuyLtnXq8NbamqqJKlGjRpu7TVq1HAtK44xkjRjxgxNnTo1V3uDBg0KVTMAlIaar5Z1BQBKQnp6uqpUqVJgH68ObzkJPTMz06393LlzKl++fLGNkaSJEydq3LhxrtfZ2dlKTU1VjRo15ONTcv97Nl1aWpqCg4N18OBBBQYGlnU5Vy3mwXswF96DufAOzINnLMtSenq66tate8m+Xh3egoODZbPZlJyc7NaenJyskJCQYhsjSXa7XXa73a2tatWqRSv8KhQYGMib0gswD96DufAezIV3YB4u7VJn3HJ49QcWAgIC1KlTJy1evNjVdvbsWS1fvlyRkZGutj179rjuZ/N0DAAAgIm8OrxJ0gsvvKBFixZp4sSJWrx4sfr376/atWtr5MiRrj4xMTG65557CjUGAADARF4f3rp166ZVq1Zp//79mjVrlpo1a6b4+HhVqlTJ1efaa69Vq1atCjUGxcNut2vy5Mm5LjmjdDEP3oO58B7MhXdgHoqfj+XJZ1IBAADgFbz+zBsAAAD+h/AGAABgEMIbAACAQQhvKJBlWfrpp5+0bds2ZWVleTwuPT1dW7duLfBbLVA46enpSkxM1P79+z0ec+LECW3ZskV79+5VdnZ2CVZ3dUlOTlZ8fLzr62w8sX//fiUmJhZqDC7thx9+0JYtWzzun56erqSkJKWkpJRgVVefs2fPKiEhQQcOHCjUOMuytG7dOv3www8lU9iVygLysXPnTuu6666z6tSpY9WvX9+qX7++tXHjxgLHZGVlWc8884xVoUIF66abbrJCQ0Ot6OjoUqr4yvXOO+9YAQEBVnh4uBUQEGD95S9/sc6ePZtv/8zMTGvIkCFWQECA1apVK+uaa66xrr32WisxMbEUq77ybNiwwerXr59Vs2ZNS5K1fv36S445e/as9Ze//MVt/t59991SqPbK9uabb1pNmza1qlatajVq1OiS/ffu3WvdcccdVtWqVa2bbrrJqly5stW7d2/r+PHjpVDtlevw4cPWmDFjrKCgIMtut1uTJ08u1PiZM2daNpvNuvHGG0ukvisVZ96QJ8uyNGTIEDVt2lSHDx/WwYMHFRUVpTvvvFMOhyPfcf/3f/+njz/+WJs3b1ZSUpJ+++23Ar/ZApf2ww8/6NFHH9WcOXO0c+dO/fbbb9q+fbv+9re/5Tvmvffe0zfffKOffvpJW7Zs0cGDBxUeHq6//vWvpVj5lefHH3/Uvffeq7Vr13o85v/+7/+0Y8cO/fbbb9q5c6c+/PBDPfLII5xpuEz//e9/NW/ePI0dO9aj/nv37tVdd92l1NRUJSUlad++fUpOTtaoUaNKuNIr22+//abGjRvr559/Vv369Qs1dtOmTXrrrbc0bNiwEqruClbW6RHeadOmTZYktzM1+/btsyRZS5YsyXPMyZMnLX9/f+uNN94orTKvCo8//rgVHh7u1vbCCy9Y1apVs7KysvIcM2nSJKtx48ZubdOmTbNCQkJKrM6rya+//urRmbesrCyrWrVqVkxMjFv7tddea40dO7YEK7x6TJ482aMzb3l54YUXrKCgoGKu6OrVqFEjj8+8nT592mrUqJEVGxtrjR07ljNvhcSZN+QpKSlJNptNLVu2dLWFhoaqdu3arq8i+7OEhARlZmaqb9++Sk5OVlJSktLS0kqr5CtWUlKSWrdu7dbWrl07nTp1Kt/73x5++GFZlqWnnnpKy5cv10cffaR33nlHL774YmmUjP9v3759OnXqVK75a9u2bb7vI5SezZs3q3HjxmVdxlVp5MiRuv322/nayiLy6i+mR9lJTU1V1apVZbO55/saNWrk+yGEw4cPy2az6bXXXtP8+fNVs2ZN7d69W08++aSmT59eGmVfkVJTU91CtHRxHnKWNWjQINeY+vXr69FHH9ULL7yglStX6vDhw2rfvr1uueWWUqkZF+W8V3LmK0eNGjW0ffv2sigJ/98XX3yhxYsX67vvvivrUq4677//vnbt2qVPPvmkrEsxFmfekCc/Pz9lZmbmaj937pzKly+f75js7GydOHFC+/fv17Zt2xQbG6uXXnpJX3/9dUmXfMXKay7OnTsnSfnOxUsvvaSYmBht3bpVSUlJOnTokCpWrKhevXrxqdNS5OfnJ0l5zl9+c4eSFxsbq/vuu0+vvvqqevXqVdblXFWOHj2qJ554Qo8++qg2b96s+Ph4HT58WGfPnlV8fLzOnDlT1iUagfCGPIWGhiojI0OnT592tV24cEHHjh3L9wMIYWFhkqSHHnpIvr4XT+p27dpVzZo1K9QN3nAXGhqq5ORkt7ac18HBwXmO+eabb3Tbbbe5zsr5+flp5MiR+vHHH7Vv374SrRf/ExoaKkl5zh8f5CkbcXFx6t+/v1544QU9+eSTZV3OVefcuXNq2bKl/vWvfyk6OlrR0dFKSEjQkSNHFB0drV9//bWsSzQC4Q15ioiIkJ+fnxYvXuxqi4uLU0ZGhtult02bNrnuu+rYsaMCAwPd/qFyOp06duyYatWqVXrFX2EiIyO1evVqt+eD/fvf/1bbtm1VtWpVSdKZM2cUHx+vjIwMSVKtWrV06NAht/UcPHhQklSzZs3SKfwqtXv3bm3btk2SVLVqVbVp08btfXTmzBmtXr2ae31KQc5ZnRwrVqxQv379NGXKFI0fP74MK7u6HD9+XPHx8bpw4YIaNGig+Ph4tz+DBg1S48aNFR8frzZt2pR1uUbgnjfkqWbNmho/fryeeOIJXbhwQXa7XRMmTNADDzyg66+/3tXv9ttv13333aeYmBhVqFBB06ZN09NPP63z588rKChIH374obKysvTAAw+U4d6Y7f7779fs2bPVr18/jR07VomJiZo3b56+/fZbV5/NmzcrMjJSP/74o5o3b67Ro0crMjJSY8eOVZ8+fbRv3z5NmjRJ9957rwIDA8twb8x29OhR7dmzx/UflO3bt+vChQsKCwtzPSbh+eef165du5SYmChJmj59um677TaFhYWpdevWeu211xQSEqL777+/zPbjSvDjjz/qzJkzOnDggDIzMxUfHy/p4od5ci5Jd+3aVa+99pqeeOIJbdiwQbfffrtuu+02derUydVfkrp06VIm+3AlcDgc2rx5s6SLtwccOHBA8fHxqlKlilq0aCFJWrZsme655x4dP36c/zwWE8Ib8vXiiy+qYcOGWrBggS5cuKDx48dr9OjRbn3at2/vulwqSY8//rjq1aunzz77TBkZGWrevLneeOMNBQUFlXL1V46AgACtXbtWMTExeuONN1SrVi2tWLFC3bp1c/WpWrWqOnfurIoVK0qSevTooY0bN+q9997TK6+8omrVqumFF14gMFymjRs36uWXX5Ykde7c2XXD9aOPPqq7775bknT99dfL39/fNSYyMlLLly/X22+/rYSEBLVu3VrR0dGqUKFC6e/AFeTtt992fegjLCxM0dHRkqSFCxe6zvR37txZ9erVk3TxOW8tW7bU0aNHXX1z/DHIoXBOnTrlOp5hYWHavXu3oqOj1bJlS82ePVuSVLt2bXXu3Nl1D+ifNWzYkHvdCsnHsiyrrIsAAACAZ7jnDQAAwCCENwAAAIMQ3gAAAAxCeAMAADAI4Q0AAMAghDcAAACDEN4AAAAMQngDcNX57rvvtHv37kKNWbJkif773/+WUEWFU5T6AVw5CG8Arjrjx4/X0qVLCzVmzJgxWrlyZYF9li5dWipfrF2U+gFcOQhvAK46t956q9t39BaXcePGadmyZcW+XgD4I77bFIBX27Fjh44fP67u3btLuvhdisuWLVOHDh1c36u7detWnTt3Tp07d5YkXbhwQRs2bFBqaqrCw8N13XXXua2zZ8+eatiwoVvb8ePHtX79etWpU0c33XST1q5dq3r16qlJkya5+iUlJalChQrq0KGD6/saV6xYofT0dG3dulVffPGFJGnIkCHy8fFxjV2/fr0sy1KnTp3c1pmQkCDp4ndxrl69WkePHpWPj4/q1Kmjli1bqkqVKgUeo6+//lodOnRwfY+nJMXGxio4ONit/ksdFwBm4MwbAK/2008/aejQoa7Xixcv1l133aW33nrL1fbUU08pNjZWkrRz5041adJEo0aN0gcffKCuXbtqxIgRys7OdvX/82XHZcuWqUGDBpo2bZomTJigNm3a6OGHH9a///1vt1rmzZunDh06aPbs2Ro2bJg6deokh8MhSVq7dq3S09O1bds2LVq0SIsWLdKfvzp669atGjRokFst2dnZGjRokLZs2SLpYpBbtGiRFixYoOjoaDVs2FBxcXEFHqN7771Xmzdvdmt79tln3er35LgAMIQFAF7s6NGjliTrp59+sizLsu677z6rTZs2Vtu2bS3LsqzMzEzL39/fWrlypZWVlWU1adLEmjZtmmv8qVOnrLCwMOv99993tTVr1sx67bXXLMuyrPPnz1thYWHWU0895Vr+/vvvW5KsGTNmuNpCQ0OtFi1aWOnp6a71VqtWzfrkk09cfa6//npr9uzZ+e7L8ePHLV9fX2v58uWutri4OMvX19dKSUnJc8ysWbOssLAwt7Y/1m9ZllWxYkVr4cKFbn1at27tqt/T4wLADJx5A+DV6tSpo/DwcK1atUqStHr1aj333HP64YcflJaWpg0bNsiyLHXs2FEbNmzQzp07Vb9+fc2fP19fffWVYmNj1bhxY9f4P0tMTNS+ffv09NNPu9oeeOABVa9ePVff4cOHq1KlSpKkqlWr6sYbb9Qvv/zi8b7UrFlTUVFR+uyzz1xtn332mSIjI1W7dm1XW3JysmJjYzVv3jz5+Pho3759On78uMfb+bOiHBcA3ot73gB4vYiICK1atUp9+/ZVSkqKoqKi1KxZM33//ffasmWL2rdvL39/f+3bt082m03fffed2/gaNWqoadOmea774MGD8vf3V506dVxtNptNISEhufr+OdDZ7XZlZmYWal/uvvtuPfLII67LvgsWLNDbb7/tWh4dHa3Zs2erbdu2qlWrlpxOpyTp2LFjqlWrVqG2laMoxwWA9yK8AfB6ERERGj16tFauXKnOnTurfPnyioiI0OrVq7VlyxZFRERIkgIDA5Wdna1Zs2a5hbGCVK9eXZmZmcrMzJS/v7+r/dSpUyWxK+rXr59Gjhypb775RpZlKTs7W/3795ck7d69WzNnztS2bdt0ww03SLr4gY1///vfue6f+yObzZbr3rU/hsqiHBcA3ovLpgC8XkREhE6cOKF//OMfrqAWERGhZcuWacOGDa62Ll26qGLFinr33XfdxmdnZ+vo0aN5rrtly5aqUKGCFi9e7Grbtm2b9u/fX+g6K1WqdMkzcQEBARowYIA+++wzffbZZxowYIACAgIkSUePHpXNZtO1117r6j9//vxLbrdevXras2eP63VycrLb8+aKclwAeC/OvAHwejn3vSUmJmrWrFmSpG7duunnn3+Wn5+fOnbsKOnifWhvv/22HnzwQf3222/q3Lmzjhw5ooULFyo6OlqDBw/Ote4aNWromWee0cMPP6w9e/aoYsWKeuONNxQYGOj2mA9PtGnTRp9++qlq1aolu92e61EhOYYPH66+fftKuvjNDTlat26tunXr6s4779Qdd9zh9tiRgowYMUIxMTHy9fWVn5+f3n//fbeziEU5LgC8F+ENgBEef/xxrV27Vm3btpV0MZCMHTtW/v7+bkHlnnvuUcuWLTV37lytXbtWYWFh+vTTT9WsWTNXnz8/pHfy5Mm67rrrFBcXpzp16ujLL7/U0KFDVblyZVefvn37qlGjRm41RUREKDg42PV65syZevvtt7Vq1SplZmZq8ODBeYa3nj176q677nL9nKNixYpav369/vGPf2j16tVq1KiR4uPjNWXKFFWtWjXf+qOjo1W/fn19//33ql27tubOnavPP//c7X42T44LADP4WAXdSAEAV4HU1FS3DyP88ssvatasmRISEtS+ffsyrAwAcuPMG4Cr3n/+8x8tWLBAUVFROnPmjGbPnq0+ffoQ3AB4Jc68AYCkb775RrGxsbIsSx06dNCwYcMKfc8bAJQGwhsAAIBBeFQIAACAQQhvAAAABiG8AQAAGITwBgAAYBDCGwAAgEEIbwAAAAYhvAEAABiE8AYAAGAQwhsAAIBB/h+X3Tr/Wg927gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# count number of weights/edges\n", "print(\"Total number of weights: \", model.edge_weights.weights.numel())\n", "\n", "# and show the weight distribution\n", "model.edge_weights.show_weights()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first simulate (and store) the BER performance *before* training.\n", "For this, we use the `PlotBER` class, which provides a convenient way to store the results for later comparison." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:14.489267Z", "iopub.status.busy": "2026-08-06T22:02:14.489132Z", "iopub.status.idle": "2026-08-06T22:02:16.318416Z", "shell.execute_reply": "2026-08-06T22:02:16.317702Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " 1.0 | 8.8190e-02 | 9.5900e-01 | 5556 | 63000 | 959 | 1000 | 0.2 |reached target bit errors\n", " 1.5 | 7.3762e-02 | 9.0600e-01 | 4647 | 63000 | 906 | 1000 | 0.0 |reached target bit errors\n", " 2.0 | 6.1825e-02 | 8.3300e-01 | 3895 | 63000 | 833 | 1000 | 0.0 |reached target bit errors\n", " 2.5 | 4.5746e-02 | 6.8400e-01 | 2882 | 63000 | 684 | 1000 | 0.0 |reached target bit errors\n", " 3.0 | 3.2635e-02 | 5.0600e-01 | 2056 | 63000 | 506 | 1000 | 0.0 |reached target bit errors\n", " 3.5 | 2.2770e-02 | 3.7400e-01 | 2869 | 126000 | 748 | 2000 | 0.0 |reached target bit errors\n", " 4.0 | 1.4074e-02 | 2.3267e-01 | 2660 | 189000 | 698 | 3000 | 0.0 |reached target bit errors\n", " 4.5 | 6.9270e-03 | 1.2940e-01 | 2182 | 315000 | 647 | 5000 | 0.0 |reached target bit errors\n", " 5.0 | 4.2817e-03 | 8.1250e-02 | 2158 | 504000 | 650 | 8000 | 0.1 |reached target bit errors\n", " 5.5 | 2.1439e-03 | 4.2333e-02 | 2026 | 945000 | 635 | 15000 | 0.1 |reached target bit errors\n", " 6.0 | 9.4538e-04 | 1.8000e-02 | 2025 | 2142000 | 612 | 34000 | 0.3 |reached target bit errors\n", " 6.5 | 4.0727e-04 | 8.6076e-03 | 2027 | 4977000 | 680 | 79000 | 0.7 |reached target bit errors\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# SNR to simulate the results\n", "ebno_dbs = np.array(np.arange(1, 7, 0.5))\n", "mc_iters = 100 # number of Monte Carlo iterations\n", "\n", "# we generate a new PlotBER() object to simulate, store and plot the BER results\n", "ber_plot = PlotBER(\"Weighted BP\")\n", "\n", "# simulate and plot the BER curve of the untrained decoder\n", "ber_plot.simulate(lambda batch_size, ebno_db: model(batch_size, ebno_db)[:2],\n", " ebno_dbs=ebno_dbs,\n", " batch_size=1000,\n", " num_target_bit_errors=2000, # stop sim after 2000 bit errors\n", " legend=\"Untrained\",\n", " soft_estimates=True,\n", " max_mc_iter=mc_iters,\n", " forward_keyboard_interrupt=False,\n", " compile_mode=None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Training\n", "We now train the model for a fixed number of SGD training iterations.\n", "\n", "**Note**: this is a very basic implementation of the training loop.\n", "You can also try more sophisticated training loops with early stopping, different hyper-parameters or optimizers etc. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:16.320784Z", "iopub.status.busy": "2026-08-06T22:02:16.320638Z", "iopub.status.idle": "2026-08-06T22:02:24.188377Z", "shell.execute_reply": "2026-08-06T22:02:24.187274Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0/200 - Loss: 0.052 BER: 0.0131 BMI: 0.936\n", "Iteration 10/200 - Loss: 0.051 BER: 0.0133 BMI: 0.934\n", "Iteration 20/200 - Loss: 0.042 BER: 0.0127 BMI: 0.949\n", "Iteration 30/200 - Loss: 0.044 BER: 0.0123 BMI: 0.950\n", "Iteration 40/200 - Loss: 0.043 BER: 0.0116 BMI: 0.947\n", "Iteration 50/200 - Loss: 0.040 BER: 0.0111 BMI: 0.953\n", "Iteration 60/200 - Loss: 0.039 BER: 0.0117 BMI: 0.950\n", "Iteration 70/200 - Loss: 0.040 BER: 0.0126 BMI: 0.952\n", "Iteration 80/200 - Loss: 0.041 BER: 0.0118 BMI: 0.949\n", "Iteration 90/200 - Loss: 0.040 BER: 0.0123 BMI: 0.951\n", "Iteration 100/200 - Loss: 0.039 BER: 0.0124 BMI: 0.949\n", "Iteration 110/200 - Loss: 0.041 BER: 0.0131 BMI: 0.947\n", "Iteration 120/200 - Loss: 0.039 BER: 0.0120 BMI: 0.950\n", "Iteration 130/200 - Loss: 0.039 BER: 0.0120 BMI: 0.952\n", "Iteration 140/200 - Loss: 0.041 BER: 0.0134 BMI: 0.948\n", "Iteration 150/200 - Loss: 0.041 BER: 0.0124 BMI: 0.949\n", "Iteration 160/200 - Loss: 0.047 BER: 0.0157 BMI: 0.940\n", "Iteration 170/200 - Loss: 0.046 BER: 0.0143 BMI: 0.941\n", "Iteration 180/200 - Loss: 0.042 BER: 0.0136 BMI: 0.946\n", "Iteration 190/200 - Loss: 0.041 BER: 0.0131 BMI: 0.948\n" ] } ], "source": [ "# training parameters\n", "batch_size = 1000\n", "train_iter = 200\n", "ebno_db = 4.0\n", "clip_value_grad = 10 # gradient clipping for stable training convergence\n", "\n", "# try also different optimizers or different hyperparameters\n", "optimizer = torch.optim.Adam(model.parameters(), lr=1e-2)\n", "\n", "for it in range(0, train_iter):\n", " optimizer.zero_grad()\n", " b, llr, loss = model(batch_size, ebno_db)\n", " loss.backward()\n", " torch.nn.utils.clip_grad_value_(model.parameters(), clip_value_grad)\n", " optimizer.step()\n", "\n", " # calculate and print intermediate metrics\n", " # only for information\n", " # this has no impact on the training\n", " if it%10==0: # evaluate every 10 iterations\n", " with torch.no_grad():\n", " # calculate ber from received LLRs\n", " b_hat = hard_decisions(llr) # hard decided LLRs first\n", " ber = compute_ber(b, b_hat)\n", " # and print results\n", " mi = llr2mi(llr, -2*b+1).item() # calculate bit-wise mutual information\n", " l = loss.item() # copy loss for printing\n", " print(f\"Iteration {it}/{train_iter} - Loss: {l:.3f} BER: {ber:.4f} BMI: {mi:.3f}\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Results\n", "\n", "After training, the weights of the decoder have changed.\n", "In average, the weights are smaller after training." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:24.191506Z", "iopub.status.busy": "2026-08-06T22:02:24.191269Z", "iopub.status.idle": "2026-08-06T22:02:24.323759Z", "shell.execute_reply": "2026-08-06T22:02:24.322869Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.edge_weights.show_weights() # show weights AFTER training" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And let us compare the new BER performance.\n", "For this, we can simply call the ber_plot.simulate() function again as it internally stores all previous results (if `add_results` is True)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:24.325853Z", "iopub.status.busy": "2026-08-06T22:02:24.325712Z", "iopub.status.idle": "2026-08-06T22:02:26.479657Z", "shell.execute_reply": "2026-08-06T22:02:26.478693Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " 1.0 | 8.8302e-02 | 9.9100e-01 | 5563 | 63000 | 991 | 1000 | 0.0 |reached target bit errors\n", " 1.5 | 7.7540e-02 | 9.7800e-01 | 4885 | 63000 | 978 | 1000 | 0.0 |reached target bit errors\n", " 2.0 | 6.3444e-02 | 9.3000e-01 | 3997 | 63000 | 930 | 1000 | 0.0 |reached target bit errors\n", " 2.5 | 5.0984e-02 | 8.3000e-01 | 3212 | 63000 | 830 | 1000 | 0.0 |reached target bit errors\n", " 3.0 | 3.7651e-02 | 6.5500e-01 | 2372 | 63000 | 655 | 1000 | 0.0 |reached target bit errors\n", " 3.5 | 2.2905e-02 | 4.3050e-01 | 2886 | 126000 | 861 | 2000 | 0.0 |reached target bit errors\n", " 4.0 | 1.3190e-02 | 2.5967e-01 | 2493 | 189000 | 779 | 3000 | 0.0 |reached target bit errors\n", " 4.5 | 6.4762e-03 | 1.3560e-01 | 2040 | 315000 | 678 | 5000 | 0.0 |reached target bit errors\n", " 5.0 | 3.0231e-03 | 6.5273e-02 | 2095 | 693000 | 718 | 11000 | 0.1 |reached target bit errors\n", " 5.5 | 1.2959e-03 | 3.0200e-02 | 2041 | 1575000 | 755 | 25000 | 0.2 |reached target bit errors\n", " 6.0 | 5.0668e-04 | 1.3365e-02 | 2011 | 3969000 | 842 | 63000 | 0.6 |reached target bit errors\n", " 6.5 | 2.1587e-04 | 5.8600e-03 | 1360 | 6300000 | 586 | 100000 | 0.9 |reached max iterations\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ebno_dbs = np.array(np.arange(1, 7, 0.5))\n", "batch_size = 10000\n", "mc_ites = 100\n", "\n", "ber_plot.simulate(lambda batch_size, ebno_db: model(batch_size, ebno_db)[:2],\n", " ebno_dbs=ebno_dbs,\n", " batch_size=1000,\n", " num_target_bit_errors=2000, # stop sim after 2000 bit errors\n", " legend=\"Trained\",\n", " max_mc_iter=mc_iters,\n", " soft_estimates=True,\n", " compile_mode=None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Experiments\n", "\n", "You will now see that the memory footprint can be drastically reduced by using the same weight for all messages.\n", "In the second part we will apply the concept to the 5G LDPC codes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Damped BP \n", "\n", "It is well-known that scaling of LLRs / messages can help to improve the performance of BP decoding in some scenarios [3,4].\n", "In particular, this works well for very short codes such as the code we are currently analyzing.\n", "\n", "We now follow the basic idea of [2] and scale all weights with the same scalar." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:26.481722Z", "iopub.status.busy": "2026-08-06T22:02:26.481581Z", "iopub.status.idle": "2026-08-06T22:02:28.934176Z", "shell.execute_reply": "2026-08-06T22:02:28.933231Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " 1.0 | 8.8556e-02 | 9.9200e-01 | 5579 | 63000 | 992 | 1000 | 0.0 |reached target bit errors\n", " 1.5 | 7.5873e-02 | 9.7300e-01 | 4780 | 63000 | 973 | 1000 | 0.0 |reached target bit errors\n", " 2.0 | 6.4762e-02 | 9.3000e-01 | 4080 | 63000 | 930 | 1000 | 0.0 |reached target bit errors\n", " 2.5 | 4.8905e-02 | 7.9400e-01 | 3081 | 63000 | 794 | 1000 | 0.0 |reached target bit errors\n", " 3.0 | 3.6651e-02 | 6.2800e-01 | 2309 | 63000 | 628 | 1000 | 0.0 |reached target bit errors\n", " 3.5 | 2.3000e-02 | 4.2100e-01 | 2898 | 126000 | 842 | 2000 | 0.0 |reached target bit errors\n", " 4.0 | 1.2254e-02 | 2.3500e-01 | 2316 | 189000 | 705 | 3000 | 0.0 |reached target bit errors\n", " 4.5 | 6.0661e-03 | 1.2317e-01 | 2293 | 378000 | 739 | 6000 | 0.1 |reached target bit errors\n", " 5.0 | 3.0404e-03 | 6.4909e-02 | 2107 | 693000 | 714 | 11000 | 0.1 |reached target bit errors\n", " 5.5 | 1.3314e-03 | 3.0880e-02 | 2097 | 1575000 | 772 | 25000 | 0.2 |reached target bit errors\n", " 6.0 | 5.4775e-04 | 1.3661e-02 | 2036 | 3717000 | 806 | 59000 | 0.7 |reached target bit errors\n", " 6.5 | 2.3048e-04 | 6.1200e-03 | 1452 | 6300000 | 612 | 100000 | 0.9 |reached max iterations\n" ] }, { "data": { "image/png": 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", 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# get weights of trained model\n", "weights_bp = model.edge_weights.weights\n", "\n", "# calc mean value of weights\n", "damping_factor = weights_bp.mean()\n", "\n", "# set all weights to the SAME constant scaling\n", "weights_damped = torch.ones_like(weights_bp) * damping_factor\n", "\n", "# and apply the new weights\n", "with torch.no_grad():\n", " model.edge_weights.weights.copy_(weights_damped)\n", "\n", "# let us have look at the new weights again\n", "model.edge_weights.show_weights()\n", "\n", "# and simulate the BER again\n", "leg_str = f\"Damped BP (scaling factor {damping_factor.item():.3f})\"\n", "ber_plot.simulate(lambda batch_size, ebno_db: model(batch_size, ebno_db)[:2],\n", " ebno_dbs=ebno_dbs,\n", " batch_size=1000,\n", " num_target_bit_errors=2000, # stop sim after 2000 bit errors\n", " legend=leg_str,\n", " max_mc_iter=mc_iters,\n", " soft_estimates=True,\n", " compile_mode=None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When looking at the results, we observe almost the same performance although we only scale by a single scalar.\n", "This implies that the number of weights of our model is by far too large and the memory footprint could be reduced significantly.\n", "However, isn't it fascinating to see that this simple concept of weighted BP leads to the same results as the concept of *damped BP*?\n", "\n", "**Note**: for more iterations it could be beneficial to implement an individual damping per iteration." ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Learning the 5G LDPC Code\n", "\n", "In this Section, you will experience what happens if we apply the same concept to the 5G LDPC code (including rate matching).\n", "\n", "For this, we need to define a new model." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:28.936343Z", "iopub.status.busy": "2026-08-06T22:02:28.936203Z", "iopub.status.idle": "2026-08-06T22:02:28.941404Z", "shell.execute_reply": "2026-08-06T22:02:28.940606Z" } }, "outputs": [], "source": [ "class WeightedBP5G(Block):\n", " \"\"\"System model for BER simulations of weighted BP decoding for 5G LDPC codes.\n", "\n", " This model uses `GaussianPriorSource` to mimic the LLRs after demapping of\n", " QPSK symbols transmitted over an AWGN channel.\n", "\n", " Parameters\n", " ----------\n", " k: int\n", " Number of information bits per codeword.\n", "\n", " n: int\n", " Codeword length.\n", "\n", " num_iter: int\n", " Number of BP decoding iterations.\n", "\n", " Input\n", " -----\n", " batch_size: int\n", " The batch_size used for the simulation.\n", "\n", " ebno_db: float\n", " A float defining the simulation SNR.\n", "\n", " Output\n", " ------\n", " (u, u_hat, loss):\n", " Tuple:\n", "\n", " u: torch.Tensor\n", " A tensor of shape `[batch_size, k] of 0s and 1s containing the transmitted information bits.\n", "\n", " u_hat: torch.Tensor\n", " A tensor of shape `[batch_size, k] of 0s and 1s containing the estimated information bits.\n", "\n", " loss: torch.Tensor\n", " Binary cross-entropy loss between `u` and `u_hat`.\n", " \"\"\"\n", " def __init__(self, k, n, num_iter=20):\n", " super().__init__()\n", "\n", " self._k = k\n", " self._n = n\n", "\n", " # we need to initialize an encoder for the 5G parameters\n", " self.encoder = LDPC5GEncoder(k, n)\n", "\n", " # add trainable weights via decoder callbacks\n", " # Pass PCM to enable proper weight application in padded format\n", " self.edge_weights = WeightedBPCallback(\n", " num_edges=int(np.sum(self.encoder.pcm)),\n", " pcm=self.encoder.pcm)\n", "\n", " self.decoder = LDPC5GDecoder(self.encoder,\n", " num_iter=1, # iterations are done via outer loop (to access intermediate results for multi-loss)\n", " return_state=True,\n", " hard_out=False,\n", " prune_pcm=False,\n", " cn_update=\"boxplus\",\n", " v2c_callbacks=[self.edge_weights,]) # register callback\n", "\n", " self.llr_source = GaussianPriorSource()\n", " self._num_iter = num_iter\n", " self._coderate = k/n\n", "\n", " def call(self, batch_size, ebno_db):\n", "\n", " noise_var = ebnodb2no(ebno_db,\n", " num_bits_per_symbol=2, # QPSK\n", " coderate=self._coderate)\n", "\n", " # BPSK modulated all-zero CW\n", " c = torch.zeros(batch_size, self._k, device=self.device) # decoder only returns info bits\n", "\n", " # use fake llrs from GA\n", " # works as BP is symmetric\n", " llr = self.llr_source([batch_size, self._n], no=noise_var)\n", "\n", " # --- implement multi-loss is proposed by Nachmani et al. ---\n", " loss = 0.0\n", " msg_v2c = None\n", " for i in range(self._num_iter):\n", " c_hat, msg_v2c = self.decoder(llr, msg_v2c=msg_v2c) # perform one decoding iteration; decoder returns soft-values\n", " loss = loss + F.binary_cross_entropy_with_logits(c_hat, c) # add loss after each iteration\n", "\n", " loss = loss / self._num_iter\n", "\n", " return c, c_hat, loss" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:02:28.943256Z", "iopub.status.busy": "2026-08-06T22:02:28.943131Z", "iopub.status.idle": "2026-08-06T22:03:47.404713Z", "shell.execute_reply": "2026-08-06T22:03:47.403622Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " 0.0 | 1.6584e-01 | 1.0000e+00 | 66336 | 400000 | 1000 | 1000 | 0.1 |reached target bit errors\n", " 0.25 | 1.4654e-01 | 1.0000e+00 | 58616 | 400000 | 1000 | 1000 | 0.1 |reached target bit errors\n", " 0.5 | 1.2308e-01 | 9.9800e-01 | 49234 | 400000 | 998 | 1000 | 0.1 |reached target bit errors\n", " 0.75 | 9.6780e-02 | 9.8700e-01 | 38712 | 400000 | 987 | 1000 | 0.1 |reached target bit errors\n", " 1.0 | 6.7312e-02 | 9.3700e-01 | 26925 | 400000 | 937 | 1000 | 0.1 |reached target bit errors\n", " 1.25 | 4.1515e-02 | 8.2000e-01 | 16606 | 400000 | 820 | 1000 | 0.1 |reached target bit errors\n", " 1.5 | 2.2400e-02 | 6.2300e-01 | 8960 | 400000 | 623 | 1000 | 0.1 |reached target bit errors\n", " 1.75 | 8.9475e-03 | 3.6600e-01 | 3579 | 400000 | 366 | 1000 | 0.1 |reached target bit errors\n", " 2.0 | 2.9875e-03 | 1.8100e-01 | 2390 | 800000 | 362 | 2000 | 0.2 |reached target bit errors\n", " 2.25 | 9.0167e-04 | 6.8833e-02 | 2164 | 2400000 | 413 | 6000 | 0.7 |reached target bit errors\n", " 2.5 | 2.3023e-04 | 2.1818e-02 | 2026 | 8800000 | 480 | 22000 | 2.6 |reached target bit errors\n", " 2.75 | 3.8975e-05 | 5.2000e-03 | 1559 | 40000000 | 520 | 100000 | 14.8 |reached max iterations\n", " 3.0 | 5.6750e-06 | 9.4000e-04 | 227 | 40000000 | 94 | 100000 | 16.7 |reached max iterations\n", " 3.25 | 6.7500e-07 | 1.4000e-04 | 27 | 40000000 | 14 | 100000 | 14.9 |reached max iterations\n", " 3.5 | 3.7500e-07 | 4.0000e-05 | 15 | 40000000 | 4 | 100000 | 14.0 |reached max iterations\n", " 3.75 | 0.0000e+00 | 0.0000e+00 | 0 | 40000000 | 0 | 100000 | 13.4 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = 3.8 dB.\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate model\n", "num_iter = 10\n", "k = 400\n", "n = 800\n", "\n", "model5G = WeightedBP5G(k, n, num_iter=num_iter)\n", "model5G.to(device)\n", "\n", "# generate baseline BER\n", "ebno_dbs = np.array(np.arange(0, 4, 0.25))\n", "mc_iters = 100 # number of monte carlo iterations\n", "ber_plot_5G = PlotBER(\"Weighted BP for 5G LDPC\")\n", "\n", "# simulate the untrained performance\n", "ber_plot_5G.simulate(lambda batch_size, ebno_db: model5G(batch_size, ebno_db)[:2],\n", " ebno_dbs=ebno_dbs,\n", " batch_size=1000,\n", " num_target_bit_errors=2000, # stop sim after 2000 bit errors\n", " legend=\"Untrained\",\n", " soft_estimates=True,\n", " max_mc_iter=mc_iters,\n", " compile_mode=None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And let's train this new model." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:03:47.406981Z", "iopub.status.busy": "2026-08-06T22:03:47.406822Z", "iopub.status.idle": "2026-08-06T22:07:10.279116Z", "shell.execute_reply": "2026-08-06T22:07:10.277860Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 0/200 - Loss: 0.169 BER: 0.0194 BMI: 0.927\n", "Iteration 10/200 - Loss: 0.174 BER: 0.0227 BMI: 0.917\n", "Iteration 20/200 - Loss: 0.174 BER: 0.0219 BMI: 0.920\n", "Iteration 30/200 - Loss: 0.168 BER: 0.0195 BMI: 0.928\n", "Iteration 40/200 - Loss: 0.172 BER: 0.0212 BMI: 0.922\n", "Iteration 50/200 - Loss: 0.169 BER: 0.0195 BMI: 0.927\n", "Iteration 60/200 - Loss: 0.171 BER: 0.0218 BMI: 0.921\n", "Iteration 70/200 - Loss: 0.176 BER: 0.0235 BMI: 0.913\n", "Iteration 80/200 - Loss: 0.168 BER: 0.0192 BMI: 0.930\n", "Iteration 90/200 - Loss: 0.174 BER: 0.0215 BMI: 0.920\n", "Iteration 100/200 - Loss: 0.172 BER: 0.0212 BMI: 0.922\n", "Iteration 110/200 - Loss: 0.171 BER: 0.0208 BMI: 0.923\n", "Iteration 120/200 - Loss: 0.174 BER: 0.0229 BMI: 0.916\n", "Iteration 130/200 - Loss: 0.170 BER: 0.0211 BMI: 0.924\n", "Iteration 140/200 - Loss: 0.173 BER: 0.0219 BMI: 0.920\n", "Iteration 150/200 - Loss: 0.176 BER: 0.0235 BMI: 0.914\n", "Iteration 160/200 - Loss: 0.170 BER: 0.0206 BMI: 0.924\n", "Iteration 170/200 - Loss: 0.173 BER: 0.0224 BMI: 0.918\n", "Iteration 180/200 - Loss: 0.173 BER: 0.0221 BMI: 0.918\n", "Iteration 190/200 - Loss: 0.172 BER: 0.0211 BMI: 0.923\n" ] } ], "source": [ "# training parameters\n", "batch_size = 1000\n", "train_iter = 200\n", "clip_value_grad = 10 # gradient clipping seems to be important\n", "\n", "# smaller training SNR as the new code is longer (=stronger) than before\n", "ebno_db = 1.5 # rule of thumb: train at ber = 1e-2\n", "\n", "# try also different optimizers or different hyperparameters\n", "optimizer = torch.optim.Adam(model5G.parameters(), lr=1e-2)\n", "\n", "# and let's go\n", "for it in range(0, train_iter):\n", " optimizer.zero_grad()\n", " b, llr, loss = model5G(batch_size, ebno_db)\n", " loss.backward()\n", " torch.nn.utils.clip_grad_value_(model5G.parameters(), clip_value_grad)\n", " optimizer.step()\n", "\n", " # calculate and print intermediate metrics\n", " if it%10==0:\n", " with torch.no_grad():\n", " # calculate ber\n", " b_hat = hard_decisions(llr)\n", " ber = compute_ber(b, b_hat)\n", " # and print results\n", " mi = llr2mi(llr, -2*b+1).item() # calculate bit-wise mutual information\n", " l = loss.item()\n", " print(f\"Iteration {it}/{train_iter} - Loss: {l:.3f} BER: {ber:.4f} BMI: {mi:.3f}\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now simulate the new results and compare it to the untrained results." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:07:10.281935Z", "iopub.status.busy": "2026-08-06T22:07:10.281688Z", "iopub.status.idle": "2026-08-06T22:08:39.111585Z", "shell.execute_reply": "2026-08-06T22:08:39.110639Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " 0.0 | 1.6711e-01 | 1.0000e+00 | 66842 | 400000 | 1000 | 1000 | 0.1 |reached target bit errors\n", " 0.25 | 1.4866e-01 | 1.0000e+00 | 59463 | 400000 | 1000 | 1000 | 0.1 |reached target bit errors\n", " 0.5 | 1.2359e-01 | 9.9800e-01 | 49434 | 400000 | 998 | 1000 | 0.1 |reached target bit errors\n", " 0.75 | 9.6257e-02 | 9.8100e-01 | 38503 | 400000 | 981 | 1000 | 0.1 |reached target bit errors\n", " 1.0 | 6.8865e-02 | 9.4700e-01 | 27546 | 400000 | 947 | 1000 | 0.1 |reached target bit errors\n", " 1.25 | 4.0942e-02 | 8.2000e-01 | 16377 | 400000 | 820 | 1000 | 0.1 |reached target bit errors\n", " 1.5 | 2.1050e-02 | 5.9200e-01 | 8420 | 400000 | 592 | 1000 | 0.1 |reached target bit errors\n", " 1.75 | 8.6850e-03 | 3.6500e-01 | 3474 | 400000 | 365 | 1000 | 0.1 |reached target bit errors\n", " 2.0 | 3.2287e-03 | 1.7400e-01 | 2583 | 800000 | 348 | 2000 | 0.2 |reached target bit errors\n", " 2.25 | 8.7583e-04 | 6.7500e-02 | 2102 | 2400000 | 405 | 6000 | 0.7 |reached target bit errors\n", " 2.5 | 1.9346e-04 | 2.0462e-02 | 2012 | 10400000 | 532 | 26000 | 7.7 |reached target bit errors\n", " 2.75 | 3.3075e-05 | 4.5400e-03 | 1323 | 40000000 | 454 | 100000 | 20.1 |reached max iterations\n", " 3.0 | 3.5500e-06 | 7.3000e-04 | 142 | 40000000 | 73 | 100000 | 16.6 |reached max iterations\n", " 3.25 | 6.5000e-07 | 1.3000e-04 | 26 | 40000000 | 13 | 100000 | 14.9 |reached max iterations\n", " 3.5 | 3.2500e-07 | 5.0000e-05 | 13 | 40000000 | 5 | 100000 | 13.8 |reached max iterations\n", " 3.75 | 2.5000e-08 | 1.0000e-05 | 1 | 40000000 | 1 | 100000 | 13.7 |reached max iterations\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ebno_dbs = np.array(np.arange(0, 4, 0.25))\n", "batch_size = 1000\n", "mc_iters = 100\n", "\n", "ber_plot_5G.simulate(lambda batch_size, ebno_db: model5G(batch_size, ebno_db)[:2],\n", " ebno_dbs=ebno_dbs,\n", " batch_size=batch_size,\n", " num_target_bit_errors=2000, # stop sim after 2000 bit errors\n", " legend=\"Trained\",\n", " max_mc_iter=mc_iters,\n", " soft_estimates=True,\n", " compile_mode=None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, we observe only very minor gains for the 5G LDPC code. We empirically observed that gain vanishes for more iterations and longer codewords, i.e., for most practical use-cases of the 5G LDPC code the gains are only minor.\n", "\n", "However, there may be other `codes on graphs` that benefit from the principle idea of weighted BP - or other channel setups? Feel free to adjust this notebook and train for your favorite code / channel.\n", "\n", "Other ideas for own experiments:\n", "\n", "- Implement weighted BP with unique weights per iteration.\n", "- Apply the concept to (scaled) min-sum decoding as in [5].\n", "- Can you replace the complete CN update by a neural network?\n", "- Verify the results from all-zero simulations for a *real* system simulation with explicit encoder and random data\n", "- What happens in combination with higher order modulation?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] E. Nachmani, Y. Be’ery and D. Burshtein, \"Learning to Decode Linear Codes Using Deep Learning,\"\n", "IEEE Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp. 341-346., 2016. https://arxiv.org/pdf/1607.04793.pdf\n", "\n", "[2] M. Lian, C. Häger, and H. Pfister, \"What can machine learning teach us about communications?\" IEEE Information Theory Workshop (ITW), pp. 1-5. 2018.\n", "\n", "[3] ] M. Pretti, “A message passing algorithm with damping,” J. Statist. Mech.: Theory Practice, p. 11008, Nov. 2005.\n", "\n", "[4] J.S. Yedidia, W.T. Freeman and Y. Weiss, \"Constructing free energy approximations and Generalized Belief Propagation algorithms,\" IEEE Transactions on Information Theory, 2005.\n", "\n", "[5] E. Nachmani, E. Marciano, L. Lugosch, W. Gross, D. Burshtein and Y. Be’ery, \"Deep learning methods for improved decoding of linear codes,\" IEEE Journal of Selected Topics in Signal Processing, vol. 12, no. 1, pp.119-131, 2018." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }