Systematics lossy source/channel coding

作     者：Shamai, S Verdu, S Zamir, R 

作者机构：Technion Israel Inst Technol Dept Elect Engn IL-32000 Haifa Israel Princeton Univ Dept Elect Engn Princeton NJ 08544 USA Tel Aviv Univ Dept Elect Engn Syst IL-69978 Tel Aviv Israel 

出 版 物：《IEEE TRANSACTIONS ON INFORMATION THEORY》 (IEEE Trans. Inf. Theory)

年 卷 期：1998年第44卷第2期

页      面：564-579页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：National Science Foundation, NSF, (NCR95-23805) National Science Foundation, NSF University of California, UC United States-Israel Binational Science Foundation, BSF, (92–00202) United States-Israel Binational Science Foundation, BSF 

主　　题：Gaussian channels and sources rate-distortion theory source/channel coding systematic transmission uncoded side information Wyner-Ziv rate distortion 

摘      要：The fundamental limits of systematic communication are analyzed. In systematic transmission, the decoder has access to a noisy version of the uncoded raw data (analog or digital), The coded version of the data is used to reduce the average reproduced distortion D below that provided hy the uncoded systematic link and/or increase the rate of information transmission, Unlike the case of arbitrarily reliable error correction (D -- 0) for symmetric sources/channels, where systematic codes are known to do as well as nonsystematic codes, we demonstrate that the systematic structure may degrade the performance for nonvanishing D. We characterize the achievable average distortion and we find necessary and sufficient conditions under which systematic communication does not incur loss of optimality. The Wyner-Ziv rate distortion theorem plays a fundamental role in our setting, The general result is applied to several scenarios. For a Gaussian bandlimited source and a Gaussian channel, the invariance of the bandwidth-signal-to-noise ratio (SNR, in decibels) product is established, and the optimality of systematic transmission is demonstrated, Bernoulli sources transmitted over binary-symmetric channels and over certain Gaussian channels are also analyzed. It is shown that if nonnegligible bit-error rate is tolerated, systematic encoding is strictly suboptimal.