Relaying via hybrid coding

Motivated by the recently developed hybrid coding scheme for joint source-channel coding, this paper proposes a new coding scheme for noisy relay networks. The proposed coding scheme operates in a similar manner to the noisy network coding scheme, except that each relay node uses the hybrid coding interface to transmit a symbol-by-symbol function of the received sequence and its quantized version. This coding scheme unifies both amplify-forward and noisy network coding and can strictly outperform both. The potential of the hybrid coding interface for relaying is demonstrated through the diamond relay network and two-way relay channel examples.

[1]  R. Gallager,et al.  The Gaussian parallel relay network , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[2]  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.

[3]  Michael Gastpar,et al.  Cooperative strategies and capacity theorems for relay networks , 2005, IEEE Transactions on Information Theory.

[4]  Suhas N. Diggavi,et al.  Wireless Network Information Flow , 2007, ArXiv.

[5]  Sae-Young Chung,et al.  Capacity of the Gaussian Two-Way Relay Channel to Within ${1\over 2}$ Bit , 2009, IEEE Transactions on Information Theory.

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

[7]  Rudolf Ahlswede,et al.  Network information flow , 2000, IEEE Trans. Inf. Theory.

[8]  Sae-Young Chung,et al.  Capacity of the Gaussian Two-way Relay Channel to within 1/2 Bit , 2009, ArXiv.

[9]  Aaron D. Wyner,et al.  Coding Theorems for a Discrete Source With a Fidelity CriterionInstitute of Radio Engineers, International Convention Record, vol. 7, 1959. , 1993 .

[10]  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).

[11]  Sae-Young Chung,et al.  Noisy Network Coding , 2010, IEEE Transactions on Information Theory.

[12]  Michael Gastpar,et al.  To code, or not to code: lossy source-channel communication revisited , 2003, IEEE Trans. Inf. Theory.

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

[14]  Armin Wittneben,et al.  Achievable Rate Regions for the Two-way Relay Channel , 2006, 2006 IEEE International Symposium on Information Theory.

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

[16]  Abdel R. El Gamal,et al.  On information flow in relay networks , 1981 .

[17]  Abbas El Gamal,et al.  Capacity theorems for the relay channel , 1979, IEEE Trans. Inf. Theory.

[18]  Giuseppe Caire,et al.  Joint Source Channel Coding With Side Information Using Hybrid Digital Analog Codes , 2007, IEEE Transactions on Information Theory.

[19]  Abbas El Gamal,et al.  Lecture Notes on Network Information Theory , 2010, ArXiv.

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

[21]  Shlomo Shamai,et al.  Systematic Lossy Source/Channel Coding , 1998, IEEE Trans. Inf. Theory.