Title :
Polar Codes for Multiple Descriptions
Author :
Qi Shi ; Lin Song ; Chao Tian ; Jun Chen ; Dumitrescu, Sorina
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, ON, Canada
Abstract :
A polar coding scheme is proposed for the multiple description coding (MDC) problem and is shown to be able to achieve a certain rate pair on the dominant line of the achievable rate region determined by El Gamal and Cover. This scheme is an adaptation of the one developed by ŗaşoğlu et al. for the multiple access channel (MAC) to the MDC setting. The analysis of the proposed scheme contains two new ingredients: 1) a certain MDC-MAC duality and 2) an auxiliary random process that involves both the mutual information and the Bhattacharyya parameter. The decorrelation effect of the polar transform is also investigated.
Keywords :
codes; multi-access systems; random processes; Bhattacharyya parameter; MDC-MAC duality; auxiliary random process; multiple access channel; multiple description coding problem; mutual information; polar codes; polar transform; Decoding; Educational institutions; Encoding; Mutual information; Random processes; Random variables; Transforms; Duality; Duality, multiple access channel, multiple description coding, polar codes, rate region; multiple access channel; multiple description coding; polar codes; rate region;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2368561
