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Covariance matrices of real and imaginary parts. Wikipedia. Accessed 11 September 2022. URL: https://en.wikipedia.org/wiki/Complex_random_vector#Covariance_matrices_of_real_and_imaginary_parts.

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[MacKay]

Ldpc code definitions (alist format). URL: http://www.inference.org.uk/mackay/codes/alist.html.

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[ProperRV]

Proper complex random variables. Wikipedia. Accessed 11 September 2022. URL: https://en.wikipedia.org/wiki/Complex_random_variable#Proper_complex_random_variables.

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E. Arikan. A performance comparison of polar codes and reed-muller codes. IEEE Commun. Lett., 12(6):447–449, June 2008. URL: https://ieeexplore.ieee.org/document/4542778.

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E. Arikan. Channel polarization: a method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Trans. Inf. Theory, 2009. URL: https://ieeexplore.ieee.org/document/5075875.

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L. Bahl, J. Cocke, F. Jelinek, and J. Raviv. Optimal decoding of linear codes for minimizing symbol error rate. IEEE Trans. Inf. Theory, March 1974. URL: https://ieeexplore.ieee.org/document/1055186.

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A. Balatsoukas-Stimming, M. B. Parizi, and A. Burg. LLR-based successive cancellation list decoding of polar codes. IEEE Trans. Signal Process., 2015. URL: https://ieeexplore.ieee.org/document/7114328.

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V. Bioglio, C. Condo, and I. Land. Design of polar codes in 5g new radio. IEEE Commun. Surv. Tutorials, 2020. URL: https://ieeexplore.ieee.org/document/8962344.

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E. Björnson, J. Hoydis, and L. Sanguinetti. Massive MIMO networks: spectral, energy, and hardware efficiency. Found. Trends Signal Process., 11(3-4):154–655, 2017. URL: https://massivemimobook.com.

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F. Brannstrom, L. K. Rasmussen, and A. J. Grant. Convergence analysis and optimal scheduling for multiple concatenated codes. IEEE Trans. Inf. Theory, 51(9):3354–3364, 2005. URL: https://ieeexplore.ieee.org/document/1499068.

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[Cammerer]

S. Cammerer, M. Ebada, A. Elkelesh, and S. ten Brink. Sparse graphs for belief propagation decoding of polar codes. In IEEE Int. Symp. Inf. Theory (ISIT). 2018. URL: https://ieeexplore.ieee.org/document/8437581.

[Cammerer_Hybrid_SCL]

S. Cammerer, B. Leible, M. Stahl, J. Hoydis, and S. ten Brink. Combining belief propagation and successive cancellation list decoding of polar codes on a GPU platform. In IEEE ICASSP. 2017. URL: https://ieeexplore.ieee.org/document/7952840.

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J. Chen and others. Reduced-complexity decoding of LDPC codes. IEEE Trans. Commun., August 2005. URL: https://ieeexplore.ieee.org/document/1495850.

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J. Céspedes, P. M. Olmos, M. Sánchez-Fernández, and F. Pérez-Cruz. Expectation propagation detection for high-order high-dimensional MIMO systems. IEEE Trans. Commun., 62(8):2840–2849, August 2014. URL: https://ieeexplore.ieee.org/document/6841617.

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M. Ebada, S. Cammerer, A. Elkelesh, and S. ten Brink. Deep learning-based polar code design. In Annu. Allerton Conf. Commun. Control Comput. 2019. URL: https://ieeexplore.ieee.org/document/8919804.

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R. J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel. Capacity limits of optical fiber networks. J. Lightwave Technol., 2010. URL: https://ieeexplore.ieee.org/document/5420239.

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J. A. Fleck, J. R. Morris, and M. D. Feit. Time-dependent propagation of high energy laser beams through the atmosphere. Appl. Phys., 10:129–160, 1976. URL: https://link.springer.com/article/10.1007/BF00896333.

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G. D. Forney. Codes on graphs: normal realizations. IEEE Trans. Inf. Theory, 47(2):520–548, February 2001. URL: https://ieeexplore.ieee.org/document/910578.

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M. Fossorier and S. Lin. Soft-decision decoding of linear block codes based on ordered statistics. IEEE Trans. Inf. Theory, 1995. URL: https://ieeexplore.ieee.org/document/412683.

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W. Fu and J. S. Thompson. Performance analysis of k-best detection with adaptive modulation. In IEEE Int. Symp. Wirel. Commun. Syst. (ISWCS). 2015. URL: https://ieeexplore.ieee.org/abstract/document/7454351.

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C. R. Giles and E. Desurvire. Modeling erbium-doped fiber amplifiers. J. Lightwave Technol., 1991. URL: https://ieeexplore.ieee.org/document/65886.

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N. Goela, S. Korada, and M. Gastpar. On LP decoding of polar codes. In IEEE ITW. 2010. URL: https://ieeexplore.ieee.org/document/5592698.

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J. Hagenauer. The turbo principle in mobile communications. In Proc. IEEE Int. Symp. Inf. Theory Appl. (ISITA). 2002. URL: https://www.ieice.org/nolta/symposium/archive/2002/nolta_pdf/plenary2.pdf.

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R. H. Hardin and F. D. Tappert. Applications of the split-step fourier method to the numerical solution of nonlinear and variable coefficient wave equations. SIAM Rev. Chron., 15(2):423, 1973.

[Hashemi_SSCL]

S. A. Hashemi, C. Condo, and W. J. Gross. Simplified successive-cancellation list decoding of polar codes. In IEEE ISIT. 2016. URL: https://ieeexplore.ieee.org/document/7541412.

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[Gross_Fast_SCL]

S. A. Hashemi, C. Condo, and W. J. Gross. Fast and flexible successive-cancellation list decoders for polar codes. IEEE Trans. Signal Process., 2017. URL: https://ieeexplore.ieee.org/document/8010835.

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J. Hou, P. Siegel, L. Milstein, and H. Pfister. Capacity approaching bandwidth-efficient coded modulation schemes based on low-density parity-check codes. IEEE Trans. Inf. Theory, September 2003. URL: https://ieeexplore.ieee.org/document/1226601.

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D. Hui, S. Sandberg, Y. Blankenship, M. Andersson, and L. Grosjean. Channel coding in 5g new radio: a tutorial overview and performance comparison with 4g LTE. IEEE Veh. Technol. Mag., 2018. URL: https://ieeexplore.ieee.org/document/8477009.

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E. Jang, S. Gu, and B. Poole. Categorical reparameterization with gumbel-softmax. arXiv preprint arXiv:1611.01144, 2016. URL: https://arxiv.org/abs/1611.01144.

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R. K. Mallik. The exponential correlation matrix: eigen-analysis and applications. IEEE Trans. Wireless Commun., 17(7):4690–4705, July 2018. URL: https://ieeexplore.ieee.org/document/8353350.

[Moon]

T. K. Moon. Error Correction Coding: Mathematical Methods and Algorithms. John Wiley & Sons, 2020. URL: https://onlinelibrary.wiley.com/doi/book/10.1002/0471739219.

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[MFFP2009]

N. J. Muga, M. C. Fugihara, M. F. S. Ferreira, and A. N. Pinto. ASE noise simulation in raman amplification systems. In Conftele. 2009. URL: http://www.av.it.pt/conftele2009/papers/27.pdf.

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E. Nachmani, Y. Be'ery, and D. Burshtein. Learning to decode linear codes using deep learning. In IEEE Annu. Allerton Conf. Commun. Control Comput. (Allerton). 2016. URL: https://ieeexplore.ieee.org/document/7852251.

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[Richardson]

T. Richardson and S. Kudekar. Design of low-density parity-check codes for 5g new radio. IEEE Commun. Mag., 2018. URL: https://ieeexplore.ieee.org/document/8316763.

[Ryan]

W. Ryan. An introduction to LDPC codes. In CRC Handbook for Coding and Signal Processing for Recording Systems. 2004.

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[LearningShaping]

M. Stark, F. Ait Aoudia, and J. Hoydis. Joint learning of geometric and probabilistic constellation shaping. In IEEE Globecom Workshops (GC Wkshps). 2019. URL: https://ieeexplore.ieee.org/document/9024567.

[CST2011]

C. Studer, S. Fateh, and D. Seethaler. ASIC implementation of soft-input soft-output MIMO detection using MMSE parallel interference cancellation. IEEE J. Solid-State Circuits, 46(7):1754–1765, July 2011. URL: https://ieeexplore.ieee.org/abstract/document/5779722.

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[Tal_SCL]

I. Tal and A. Vardy. List decoding of polar codes. IEEE Trans. Inf. Theory, 2015. URL: https://ieeexplore.ieee.org/document/7055304.

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[tenBrinkEXIT]

S. ten Brink. Convergence behavior of iteratively decoded parallel concatenated codes. IEEE Trans. Commun., 49(10):1727–1737, 2001. URL: https://ieeexplore.ieee.org/document/957394.

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[tenBrink]

S. ten Brink, G. Kramer, and A. Ashikhmin. Design of low-density parity-check codes for modulation and detection. IEEE Trans. Commun., 52(4):670–678, April 2004. URL: https://ieeexplore.ieee.org/document/1291808.

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[Tse]

D. Tse and P. Viswanath. Fundamentals of Wireless Communication. Cambridge University Press, 2005. URL: https://web.stanford.edu/~dntse/wireless_book.html.

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[Viterbi]

A. Viterbi. Error bounds for convolutional codes and an asymptotically optimum decoding algorithm. IEEE Trans. Inf. Theory, 1967. URL: https://ieeexplore.ieee.org/document/1054010.

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P. K. A. Wai, C. R. Menyuk, and H. H. Chen. Stability of solitons in randomly varying birefringent fibers. Opt. Lett., 1991. URL: https://opg.optica.org/ol/abstract.cfm?uri=ol-16-16-1231.

[SoS]

C. Xiao, Y. R. Zheng, and N. C. Beaulieu. Novel sum-of-sinusoids simulation models for rayleigh and rician fading channels. IEEE Trans. Wireless Commun., 5(12):3667–3679, December 2006. doi: 10.1109/TWC.2006.256990. URL: https://ieeexplore.ieee.org/document/4027602.

[YH2015]

S. Yang and L. Hanzo. Fifty years of MIMO detection: the road to large-scale MIMOs. IEEE Commun. Surv. Tutorials, 17(4):1941–1988, 2015. URL: https://ieeexplore.ieee.org/document/7244171.

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[TS38141-1]

3GPP. Base station (bs) conformance testing part 1: conducted conformance testing. 3GPP TS 38.141-1. Release 17. URL: https://www.etsi.org/deliver/etsi_TS/138100_138199/13814101/17.17.00_60/ts_13814101v171700p.pdf.

[TR38901]

3GPP. Study on channel model for frequencies from 0.5 to 100 GHz. 3GPP TR 38.901. Release 16.1. URL: https://www.etsi.org/deliver/etsi_tr/138900_138999/138901/16.01.00_60/tr_138901v160100p.pdf.

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[3GPPTS38214]

3GPP. NR; physical layer procedures for data. 3GPP TS 38.214. URL: https://www.etsi.org/deliver/etsi_ts/138200_138299/138214/16.02.00_60/ts_138214v160200p.pdf.

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[3GPPTS38211]

3GPP. NR; physical channels and modulation. 3GPP TS 38.211, 2020. v.16.2.0, 2020-07. URL: https://www.etsi.org/deliver/etsi_ts/138200_138299/138211/16.02.00_60/ts_138211v160200p.pdf.

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[3GPPTS36212]

ETSI 3GPP. Evolved universal terrestrial radio access (eutra); multiplexing and channel coding. 3GPP TS 36.212, 2018. v.15.3.0, 2018-09. URL: https://www.etsi.org/deliver/etsi_ts/136200_136299/136212/15.03.00_60/ts_136212v150300p.pdf.

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[3GPPTS38212]

ETSI 3GPP. 5g NR multiplexing and channel coding. 3GPP TS 38.212, 2021. v.16.5.0, 2021-03. URL: https://www.etsi.org/deliver/etsi_ts/138200_138299/138212/16.05.00_60/ts_138212v160500p.pdf.

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