A Channel Coding Scheme Based on Multi-kernel Polar Codes for Transmitting Data over Compressed Voice Channels

In this paper, we propose a channel coding scheme based on multi-kernel codes for transmitting digital data over compressed voice channels of cellular mobile networks. In the implementation of the code construction, we first prove that partial descending order chains (PDOCs) in reliability exist in the polarized channels, and then design a greedy algorithm to construct the reliability graph of the channels. Considering that the channel polarization is insufficient in the short code field required by real-time voice communications, further, we combine the PDOCs and maximizing the minimum code distance to design a general multi-kernel polar code construction method, which is independent of the transmission channels. In terms of coding gains, simulations on AMR vocoders show that the proposed scheme is superior to Turbo and Reed-Solomon (RS) codes in short codes, especially with higher coding rates.