Comparison between Analog Joint Source-Channel Coded and Digital BICM Systems

Recently, the use of analog joint source-channel coding for the transmission of data samples at high rates over AWGN channels has been proposed in the literature. Simulation results have shown that this analog scheme performs close to the theoretical limits for several source distributions and transmission rates. In this paper we study the performance of such a system in comparison with optimized capacity approaching digital Bit Interleaved Coded Modulation (BICM) schemes. We show that in practical situations the analog transmission performs better than the digital scheme with a much lower encoding and decoding complexity when considering Gaussian and Laplacian source distributions.

[1]  Stephan ten Brink,et al.  Design of repeat-accumulate codes for iterative detection and decoding , 2003, IEEE Trans. Signal Process..

[2]  S. P. Lloyd,et al.  Least squares quantization in PCM , 1982, IEEE Trans. Inf. Theory.

[3]  Zhongmin Wang,et al.  Non-linear coding for improved performance in compressive sensing , 2009, 2009 43rd Annual Conference on Information Sciences and Systems.

[4]  Ephraim Zehavi,et al.  8-PSK trellis codes for a Rayleigh channel , 1992, IEEE Trans. Commun..

[5]  Yichuan Hu,et al.  MMSE decoding for analog joint source channel coding using monte carlo importance sampling , 2009, 2009 IEEE 10th Workshop on Signal Processing Advances in Wireless Communications.

[6]  Gottfried Ungerboeck,et al.  Channel coding with multilevel/phase signals , 1982, IEEE Trans. Inf. Theory.

[7]  Pål Anders Floor.  On the Theory of Shannon-Kotel'nikov Mappings in Joint Source-Channel Coding , 2008 .

[8]  Giuseppe Caire,et al.  Bit-Interleaved Coded Modulation , 2008, Found. Trends Commun. Inf. Theory.

[9]  Yichuan Hu,et al.  Analog Joint Source Channel Coding Using Space-Filling Curves and MMSE Decoding , 2009, 2009 Data Compression Conference.

[10]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[11]  Toby Berger,et al.  Optimum pulse amplitude modulation-I: Transmitter-receiver design and bounds from information theory , 1967, IEEE Trans. Inf. Theory.

[12]  P.A. Floor,et al.  Dimension Reducing Mappings in Joint Source-Channel Coding , 2006, Proceedings of the 7th Nordic Signal Processing Symposium - NORSIG 2006.

[13]  H. Jin,et al.  Irregular repeat accumulate codes , 2000 .

[14]  Sae-Young Chung,et al.  On the construction of some capacity-approaching coding schemes , 2000 .

[15]  Thomas J. Goblick,et al.  Theoretical limitations on the transmission of data from analog sources , 1965, IEEE Trans. Inf. Theory.

[16]  Joel Max,et al.  Quantizing for minimum distortion , 1960, IRE Trans. Inf. Theory.

[17]  Tor A. Ramstad,et al.  Using 2:1 Shannon mapping for joint source-channel coding , 2005, Data Compression Conference.