Channel-optimized scalar quantizers with erasure correcting codes

This paper investigates the design of channel-optimized scalar quantizers with erasure correcting codes over binary symmetric channels (BSC). A new scalar quantizer with uniform decoder and channel-optimized encoder aided by erasure correcting code is proposed. The lower bound for performance of the new quantizer with complemented natural code (CNC) index assignment is given. Then, in order to approach it, the single parity check code and corresponding decoding algorithm are added into the new quantizer encoder and decoder, respectively. Analytical results show that the performance of the new quantizers with CNC is better than that of the original quantizers with CNC and natural binary code (NBC) when crossover probability is at a certain range.