Source-Channel Coding for Fading Channels With Correlated Interference

We consider the problem of sending a Gaussian source over a fading channel with Gaussian interference known to the transmitter. We study joint source-channel coding schemes for the case of unequal bandwidth between the source and the channel and when the source and the interference are correlated. An outer bound on the system's distortion is first derived by assuming additional information at the decoder side. We then propose layered coding schemes based on proper combination of power splitting, bandwidth splitting, Wyner-Ziv and hybrid coding. More precisely, a hybrid layer, that uses the source and the interference, is concatenated (superimposed) with a purely digital layer to achieve bandwidth expansion (reduction). The achievable (square error) distortion region of these schemes under matched and mismatched noise levels is then analyzed. Numerical results show that the proposed schemes perform close to the best derived bound and to be resilient to channel noise mismatch. As an application of the proposed schemes, we derive both inner and outer bounds on the source-channel-state distortion region for the fading channel with correlated interference; the receiver, in this case, aims to jointly estimate both the source signal as well as the channel-state (interference).

[1]  Ertem Tuncel,et al.  Gaussian HDA coding with bandwidth expansion and side information at the decoder , 2013, 2013 IEEE International Symposium on Information Theory.

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

[3]  Ertem Tuncel,et al.  Separate Source–Channel Coding for Transmitting Correlated Gaussian Sources Over Degraded Broadcast Channels , 2013, IEEE Transactions on Information Theory.

[4]  Yadong Wang,et al.  Hybrid digital-analog coding with bandwidth compression for gaussian source-channel pairs , 2009, IEEE Transactions on Communications.

[5]  Mikael Skoglund,et al.  Zero-Delay Joint Source-Channel Coding for a Bivariate Gaussian on a Gaussian MAC , 2012, IEEE Transactions on Communications.

[6]  Fady Alajaji,et al.  Hybrid digital-analog coding for interference broadcast channels , 2013, 2013 IEEE International Symposium on Information Theory.

[7]  Tsachy Weissman,et al.  Estimation With a Helper Who Knows the Interference , 2013, IEEE Transactions on Information Theory.

[8]  Deniz Gündüz,et al.  Wyner–Ziv Coding Over Broadcast Channels: Digital Schemes , 2009, IEEE Transactions on Information Theory.

[9]  J. Nicholas Laneman,et al.  Writing on Dirty Paper with Resizing and its Application to Quasi-Static Fading Broadcast Channels , 2007, 2007 IEEE International Symposium on Information Theory.

[10]  Fady Alajaji,et al.  Low and high-delay source-channel coding with bandwidth expansion and correlated interference , 2013, 2013 13th Canadian Workshop on Information Theory.

[11]  Mikael Skoglund,et al.  Hybrid Digital–Analog Source–Channel Coding for Bandwidth Compression/Expansion , 2006, IEEE Transactions on Information Theory.

[12]  Ertem Tuncel,et al.  Wyner-Ziv Coding Over Broadcast Channels: Hybrid Digital/Analog Schemes , 2011, IEEE Transactions on Information Theory.

[13]  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).

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

[15]  Kenneth Rose,et al.  On Zero-Delay Source-Channel Coding , 2014, IEEE Transactions on Information Theory.

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

[17]  Fady Alajaji,et al.  On the Performance of Hybrid Digital-Analog Coding for Broadcasting Correlated Gaussian Sources , 2011, IEEE Transactions on Communications.

[18]  Fady Alajaji,et al.  Low-Latency Source-Channel Coding for Fading Channels with Correlated Interference , 2014, IEEE Wireless Communications Letters.

[19]  Ertem Tuncel,et al.  Zero-Delay Joint Source-Channel Coding Using Hybrid Digital-Analog Schemes in the Wyner-Ziv Setting , 2014, IEEE Transactions on Communications.

[20]  Mung Chiang,et al.  Channel capacity and state estimation for state-dependent Gaussian channels , 2005, IEEE Transactions on Information Theory.

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

[22]  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.

[23]  Aaron D. Wyner,et al.  The rate-distortion function for source coding with side information at the decoder , 1976, IEEE Trans. Inf. Theory.

[24]  Shlomo Shamai,et al.  Gaussian state amplification with noisy state observations , 2013, 2013 IEEE International Symposium on Information Theory.

[25]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[26]  Amos Lapidoth,et al.  Broadcasting correlated Gaussians , 2010, IEEE Trans. Inf. Theory.

[27]  Mikael Skoglund,et al.  Optimized low-delay source-channel-relay mappings , 2010, IEEE Transactions on Communications.

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

[29]  Wai-Yip Chan,et al.  Power-constrained bandwidth-reduction source-channel mappings for fading channels , 2012, 2012 26th Biennial Symposium on Communications (QBSC).

[30]  Morteza Varasteh,et al.  Optimal HDA Schemes for Transmission of a Gaussian Source Over a Gaussian Channel With Bandwidth Compression in the Presence of an Interference , 2012, IEEE Transactions on Signal Processing.

[31]  Bixio Rimoldi,et al.  Asymptotically Optimal Joint Source-Channel Coding with Minimal Delay , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

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

[33]  Nam C. Phamdo,et al.  Hybrid digital-analog (HDA) joint source-channel codes for broadcasting and robust communications , 2002, IEEE Trans. Inf. Theory.