TY - JOUR
T1 - Joint source-channel codes for MIMO block-fading channels
AU - Gunduz, Deniz
AU - Erkip, Elza
N1 - Funding Information:
Manuscript received March 9, 2006; revised July 3, 2007. This work is supported in part by the National Science Foundation under Grants 0430885 and 0635177. The material in this paper was presented in part at the 39th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 2005, the IEEE Information Theory Workshop, Punta del Este, Uruguay, March 2006, and at the IEEE International Symposium on Information Theory (ISIT), Seattle, WA, July 2006.
PY - 2008/1
Y1 - 2008/1
N2 - We consider transmission of a continuous amplitude source over an L-block Rayleigh-fading Mt × Mr multiple-input multiple-output (MIMO) channel when the channel state information is only available at the receiver. Since the channel is not ergodic, Shannon's source-channel separation theorem becomes obsolete and the optimal performance requires a joint source-channel approach. Our goal is to minimize the expected end-to-end distortion, particularly in the high ignal-to-noise ratio (SNR) regime. The figure of merit is the distortion exponent, de-fined as the exponential decay rate of the expected distortion with increasing SNR. We provide an upper bound and lower bounds for the distortion exponent with respect to the bandwidth ratio among the channel and source bandwidths. For the lower bounds, we analyze three different strategies based on layered source coding concatenated with progressive superposition or hybrid digital/analog transmission. In each case, by adjusting the system parameters we optimize the distortion exponent as a function of the bandwidth ratio. We prove that the distortion exponent upper bound can be achieved when the channel has only one degree of freedom, that is L = 1, and min {Mt, Mr} = 1. When we have more degrees of freedom, our achievable distortion exponents meet the upper bound for only certain ranges of the bandwidth ratio. We demonstrate that our results, which were derived for a complex Gaussian source, can be extended to more general source distributions as well.
AB - We consider transmission of a continuous amplitude source over an L-block Rayleigh-fading Mt × Mr multiple-input multiple-output (MIMO) channel when the channel state information is only available at the receiver. Since the channel is not ergodic, Shannon's source-channel separation theorem becomes obsolete and the optimal performance requires a joint source-channel approach. Our goal is to minimize the expected end-to-end distortion, particularly in the high ignal-to-noise ratio (SNR) regime. The figure of merit is the distortion exponent, de-fined as the exponential decay rate of the expected distortion with increasing SNR. We provide an upper bound and lower bounds for the distortion exponent with respect to the bandwidth ratio among the channel and source bandwidths. For the lower bounds, we analyze three different strategies based on layered source coding concatenated with progressive superposition or hybrid digital/analog transmission. In each case, by adjusting the system parameters we optimize the distortion exponent as a function of the bandwidth ratio. We prove that the distortion exponent upper bound can be achieved when the channel has only one degree of freedom, that is L = 1, and min {Mt, Mr} = 1. When we have more degrees of freedom, our achievable distortion exponents meet the upper bound for only certain ranges of the bandwidth ratio. We demonstrate that our results, which were derived for a complex Gaussian source, can be extended to more general source distributions as well.
KW - Broadcast codes
KW - Distortion exponent
KW - Diversity-multiplexing gain tradeoff
KW - Hybrid digital/analog coding
KW - Joint source-channel coding
KW - Multiple-input multiple-output (MIMO)
KW - Successive refinement
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U2 - 10.1109/TIT.2007.911274
DO - 10.1109/TIT.2007.911274
M3 - Article
AN - SCOPUS:38349193396
VL - 54
SP - 116
EP - 134
JO - IRE Professional Group on Information Theory
JF - IRE Professional Group on Information Theory
SN - 0018-9448
IS - 1
ER -