Abstract
As a coding scheme in the scenario of enhanced mobile bandwidth in 5G communication, polar codes have been deeply studied due to its communication reliability. Probability shaping is an important method to approach the channel capacity limit. Therefore, it is necessary to study the combination of polar codes and probabilistic shaping. In this paper, we analyze the performance of the shaping systematic polar codes (SPC) and the shaping non-systematic polar codes (NSPC) in SC decoding algorithms. It is proposed to combine systematic polar codes with probabilistic shaping technology, hoping to induce a sub-optimization symbol probability distribution. We found that in the scheme of probabilistic shaping based on the source sequence, the non-systematic polar code encoding method will force the bit probability in the encoded codeword to be equal, which will greatly affect the performance gain brought by the probability shaping. Therefore, in this paper, we use systematic polar encoder to protect the unequal probability characteristics of 0 and 1 in the source sequence, so that the distribution of the channel input symbols tends to the Maxwell Boltzmann distribution and achieve a performance gain of 0.6 dB.
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References
Arikan, E.: Channel polarization: a method for constructing capacity-achieving codes for symmetric binary-input memoryless channels. IEEE Trans. Inf. Theory 55(7), 3051–3073 (2009)
Arikan, E.: Systematic polar coding. IEEE Commun. Lett. 15(8), 860–862 (2011)
İşcan, O., Böhnke, R., Xu, W.: Probabilistic shaping using 5G new radio polar codes. IEEE Access 7(99), 22579–22587 (2019)
Iqbal, S., et al.: Probabilistically shaped rate-adaptive polar-coded 256-QAM WDM optical transmission system. J. Lightwave Technol. 38 (7), 1800–1808 (2020)
Zhou, L., He, H., Zhang, Y., et al.: Enhancement of spectral efficiency and power budget in WDN-PON employing LDPC-coded probabilistic shaping PAM8. IEEE Access 8(99), 45766–45773 (2020)
Guo, T.C., Zhang, Z., Zhong, C., et al.: A low complexity encoding algorithm for systematic polar codes. IEEE Commun. Lett. 20(7), 1277–1280 (2016)
Tal, I., Vardy, A.: List decoding of polar codes. IEEE Trans. Inf. Theory 61(5), 2213–2226 (2015)
Chen, Y.F., He, H.L., Zhao, X., Cao, Z.Q., Zhou, L., Dong, Z.: Low-complexity probabilistic shaping based on bit-weighted distribution matching in DMT-WDM-PON. Optics Express 28(15), 21814–21824 (2020)
Ma, X., Ping, L.: Coded modulation using superimposed binary codes. IEEE Trans. Inf. Theory 50(12), 3331–3343 (2004)
Sarkis, G.P., Giard, A., Vardy. C., Thibeault. W., Gross, J.: Fast polar decoders: algorithm and implementation. IEEE J. Selected Areas Commun. 32(5), 946–957 (2014)
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Wang, C., Zhou, L., Xu, L., Chen, Q., Ke, Y. (2023). Performance Analysis of Probabilistic Shaped Polar Code in 5G. In: Jain, L.C., Kountchev, R., Zhang, K., Kountcheva, R. (eds) Advances in Wireless Communications and Applications. ICWCA 2021. Smart Innovation, Systems and Technologies, vol 299. Springer, Singapore. https://doi.org/10.1007/978-981-19-2255-8_9
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DOI: https://doi.org/10.1007/978-981-19-2255-8_9
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