On the minimum energy of sending Gaussian multiterminal sources over the Gaussian MAC

We study the minimum energy of sending Gaussian multiterminal sources over the Gaussian multiple access channel (MAC). Distributed transmitters observe Gaussian multiterminal sources and describe their observations to a central decoder, which desires to reconstruct the sources under MSE constraints. We first lower bound the minimum energy by a cut-set argument which couples the transmitted signals and reconstruction errors. For achievability, separate source-channel coding is first studied as a benchmark. We then find out the minimum energy that can be achieved uncoded transmission. A hybrid digital/analog scheme is proposed to achieve the best known energy performance.

[1]  Pramod Viswanath,et al.  Rate Region of the Quadratic Gaussian Two-Encoder Source-Coding Problem , 2005, IEEE Transactions on Information Theory.

[2]  S. Kulkarni,et al.  Energy-distortion tradeoffs in multiple-access channels with feedback , 2010, 2010 IEEE Information Theory Workshop on Information Theory (ITW 2010, Cairo).

[3]  Zixiang Xiong,et al.  On the Minimum Energy of Sending Correlated Sources Over the Gaussian MAC , 2014, IEEE Transactions on Information Theory.

[4]  Michael Gastpar,et al.  Computation Over Multiple-Access Channels , 2007, IEEE Transactions on Information Theory.

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

[6]  Deniz Gündüz,et al.  Hybrid Digital-Analog Transmission for the Gaussian One-Helper Problem , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[7]  Zixiang Xiong,et al.  The Sum-Rate Bound for a New Class of Quadratic Gaussian Multiterminal Source Coding Problems , 2009, IEEE Transactions on Information Theory.

[8]  Suhas N. Diggavi,et al.  The Achievable Distortion Region of Sending a Bivariate Gaussian Source on the Gaussian Broadcast Channel , 2011, IEEE Transactions on Information Theory.

[9]  Yasutada Oohama,et al.  Rate-distortion theory for Gaussian multiterminal source coding systems with several side informations at the decoder , 2005, IEEE Transactions on Information Theory.

[10]  Jun Chen,et al.  On the Sum Rate of Gaussian Multiterminal Source Coding: New Proofs and Results , 2010, IEEE Transactions on Information Theory.

[11]  Hirosuke Yamamoto,et al.  Source Coding Theory for Multiterminal Communication Systems with a Remote Source , 1980 .

[12]  Sung Hoon Lim,et al.  Lossy communication of correlated sources over multiple access channels , 2010, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[13]  Vinod M. Prabhakaran,et al.  Hybrid Digital-Analog Codes for Source-Channel Broadcast of Gaussian Sources Over Gaussian Channels , 2011, IEEE Transactions on Information Theory.

[14]  Meir Feder,et al.  Distortion Bounds for Broadcasting With Bandwidth Expansion , 2006, IEEE Transactions on Information Theory.

[15]  H. Vincent Poor,et al.  Energy-Distortion Tradeoffs in Gaussian Joint Source-Channel Coding Problems , 2012, IEEE Transactions on Information Theory.

[16]  Suhas N. Diggavi,et al.  The achievable distortion region of bivariate Gaussian source on Gaussian broadcast channel , 2010, 2010 IEEE International Symposium on Information Theory.

[17]  Masoud Salehi,et al.  Multiple access channels with arbitrarily correlated sources , 1980, IEEE Trans. Inf. Theory.

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

[19]  H. Witsenhausen.  ON SEQUENCES OF PAIRS OF DEPENDENT RANDOM VARIABLES , 1975 .

[20]  Pramod Viswanath,et al.  Rate Region of the Quadratic Gaussian Two-Terminal Source-Coding Problem , 2005, ArXiv.

[21]  Sergio Verdú,et al.  On channel capacity per unit cost , 1990, IEEE Trans. Inf. Theory.

[22]  Te Sun Han,et al.  The Capacity Region of General Multiple-Access Channel with Certain Correlated Sources , 1979, Inf. Control..