Abstract
In this work we analyze and compare channel capacity for transmission schemes (for Quadrature Amplitude Modulation, QAM) with and without probabilistic shaping (so called statistical modulation). Probabilistic shaping is a transmission method, which implies a delivery of nonuniform data source using a modulation (e.g. QAM) in which constellation points are selected according to the probability of input symbols. The aim is to use the unequal probability distribution of data symbols to get the resulting modulation signals with least average power that leads to better performance in terms of BER-SNR and energy efficiency. The key idea of this work is to estimate maximum achievable gain in Channel Capacity of the proposed Shaping QAM. Although the studies in combined precoding/shaping technique were started by Fischer et al. in the distant 1995 and Frank R. Kschischang et al. in 1993 the exact estimations for capacity gain are obtained for the first time. The analytical results show the upper bound for the achievable gains.
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References
Burr, A.: Modulation and Coding for Wireless Communication. Prentice Hall, NJ (2001). ISBN: 10: 0201398575/ISBN 13: 9780201398571
Forney, G.D., Wei, L.-F.: Multidimensional constellations. IEEE J. Sel. Areas Commun. 7(6), 877–892 (1989)
Kschischang, F.R., Pasupathy, S.: Optimal nonuniform signaling for Gaussian channels. IEEE Trans. Inf. Theory 39(3), 913–929 (1993)
Fischer, R.F.: Precoding and Signal Shaping for Digital Transmission. Wiley, NY (2005)
Sergeev, A., Turlikov, A., Veselov, A.: Joint source coding and modulation for low-complexity video transmission. In: XII International Symposium on Problems of Redundancy in Information and Control Systems, pp. 313–322 (2009)
Sergeev, A., Turlikov, A.: Transmitting video between two stations in a wireless network. US Patent, S8437391B2, Current Assignee: Intel Corp. (2013)
Optical fiber transmits one terabit per second, press-release of Nokia Bell Labs, Deutsche Telekom T-Labs and the Technical 1/4 University of Munich (TUM) (2016). https://techxplore.com/pdf393493006.pdf
Fehenberger, T., Alvarado, A., Böcherer, G., Hanik, N.: On probabilistic shaping of quadrature amplitude modulation for the nonlinear fiber channel. J. Lightwave Technol. 34(21), 5063–5073 (2016)
Poggiolini, P., Bosco, G., Carena, A., Curri, V., Jiang, Y., Forghieri, F.: The GN-model of fiber non-linear propagation and its applications. J. Lightwave Technol. 32(4), 694–721 (2014)
Böcherer, G.: Achievable rates for shaped bit-metric decoding. arXiv preprint arXiv:1410.8075 (2014)
Böcherer, G.: On joint design of probabilistic shaping and forward error correction for optical systems. Opt. Fiber Commun. Conf. Exposition 2018, 1–36 (2018)
Arasaratnam, I., Haykin, S., Elliott, R.J.: Discrete-time nonlinear filtering algorithms using Gauss-Hermite quadrature. Proc. IEEE 95(5), 953–977 (2007)
Krouk, E., Sergeev, A., Afanasev, M.: A transport coding gain estimation in the conditions of time limitation for maximum acceptable message delay. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds.) Intelligent Decision Technologies 2019. SIST, vol. 143, pp. 89–99. Springer, Singapore (2019). https://doi.org/10.1007/978-981-13-8303-8_8
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Sergeev, A., Shaniiazov, R. (2023). Analysis of the Capacity Gain of Probability Shaping QAM. In: Koucheryavy, Y., Aziz, A. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN 2022. Lecture Notes in Computer Science, vol 13772. Springer, Cham. https://doi.org/10.1007/978-3-031-30258-9_53
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DOI: https://doi.org/10.1007/978-3-031-30258-9_53
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