Bandwidth Expansion Shannon Mapping for Analog Error-Control Coding

Based on an initial idea of Shannon, we investigate an approach, named Shannon mapping, for transmission of analog messages, that is fundamentally different from current digital communication methods. We investigate 1:2 bandwidth expansion Shannon mapping based on two specific mapping curves. We demonstrate that bandwidth expansion Shannon mapping using a mapping curve does not introduce any delay and its encoding and decoding processes exhibit very low complexity. More importantly, our simulations show that the distortion performance of 1:2 bandwidth expansion Shannon mapping is significantly better than the rate-distortion bound without bandwidth expansion at moderate to high SNRs, and about 3-5 dB inferior to the rate-distortion bound with the same bandwidth expansion.