Zero-Delay Joint Source-Channel Coding for a Bivariate Gaussian on a Gaussian MAC

In this paper, delay-free, low complexity, joint source-channel coding (JSCC) for transmission of two correlated Gaussian memoryless sources over a Gaussian Multiple Access Channel (GMAC) is considered. The main contributions of the paper are two distributed JSCC schemes: one discrete scheme based on nested scalar quantization, and one hybrid discrete-analog scheme based on a scalar quantizer and a linear continuous mapping. The proposed schemes show promising performance which improves with increasing correlation and are robust against variations in noise level. Both schemes also exhibit a constant gap to the performance upper bound when the channel signal-to-noise ratio gets large.

[1]  Sergio D. Servetto,et al.  Lattice Quantization With Side Information: Codes, Asymptotics, and Applications in Sensor Networks , 2006, IEEE Transactions on Information Theory.

[2]  Tor A. Ramstad,et al.  Shannon-Kotel’nikov Mappings for Analog Point-to-Point Communications , 2009, IEEE Transactions on Information Theory.

[3]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[4]  Kenneth Rose,et al.  Optimal mappings for joint source channel coding , 2010, 2010 IEEE Information Theory Workshop on Information Theory (ITW 2010, Cairo).

[5]  Yichuan Hu,et al.  Analog Joint Source-Channel Coding Using Non-Linear Curves and MMSE Decoding , 2011, IEEE Transactions on Communications.

[6]  Fredrik Hekland On the Design and Analysis of Shannon-Kotel'nikov Mappings for Joint-Source-Channel Coding , 2007 .

[7]  Richard H. Sherman,et al.  Chaotic communications in the presence of noise , 1993, Optics & Photonics.

[8]  Amos Lapidoth,et al.  Sending a bivariate Gaussian over a Gaussian MAC , 2010, IEEE Trans. Inf. Theory.

[9]  Tor A. Ramstad,et al.  Bandwidth compression for continuous amplitude channels based on vector approximation to a continuous subset of the source signal space , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  R. Muirhead Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.

[11]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[12]  H. Saunders,et al.  Probability, Random Variables and Stochastic Processes (2nd Edition) , 1989 .

[13]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[14]  Michael Gastpar,et al.  Uncoded transmission is exactly optimal for a simple Gaussian "sensor" network , 2008, 2007 Information Theory and Applications Workshop.

[15]  Kimmo Kansanen,et al.  Low complexity bandwidth compression mappings for sensor networks , 2010, 2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP).

[16]  Tor A. Ramstad,et al.  Shannon-kotel-nikov mappings in joint source-channel coding , 2009, IEEE Transactions on Communications.

[17]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[18]  H. Vincent Poor,et al.  Dispersion of Gaussian channels , 2009, 2009 IEEE International Symposium on Information Theory.

[19]  I. M. Jacobs,et al.  Principles of Communication Engineering , 1965 .

[20]  Michael Gastpar,et al.  On Capacity Under Receive and Spatial Spectrum-Sharing Constraints , 2007, IEEE Transactions on Information Theory.

[21]  Mikael Skoglund,et al.  Sawtooth Relaying , 2008, IEEE Communications Letters.

[22]  Ilangko Balasingham,et al.  On transmission of multiple Gaussian sources over a Gaussian MAC using a VQLC mapping , 2012, 2012 IEEE Information Theory Workshop.

[23]  Deniz Gündüz,et al.  Zero-delay joint source-channel coding , 2014, 2014 Iran Workshop on Communication and Information Theory (IWCIT).

[24]  George L. Turin,et al.  The theory of optimum noise immunity , 1959 .

[25]  Mikael Skoglund,et al.  Transmitting multiple correlated gaussian sources over a Gaussian MAC using delay-free mappings , 2011, ISABEL '11.

[26]  Amos Lapidoth,et al.  Sending a Bivariate Gaussian Over a Gaussian MAC , 2010, IEEE Transactions on Information Theory.

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

[28]  M. Reza Soleymani,et al.  On the optimal power-distortion tradeoff in asymmetric gaussian sensor network , 2009, IEEE Transactions on Communications.

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

[30]  Neri Merhav,et al.  Threshold Effects in Parameter Estimation as Phase Transitions in Statistical Mechanics , 2010, IEEE Transactions on Information Theory.

[31]  M. Gastpar Uncoded transmission is exactly optimal for a simple Gaussian "sensor" network , 2007 .