METHOD FOR GRAY CODING A SYMBOL ALPHABET

摘要

A method for Gray coding a symbol alphabet transmitted utilizing a plurality of non-periodic waveforms. The method for Gray coding a symbol alphabet transmitted utilizing a plurality of non-periodic waveforms may include producing a matched filter for each of the non-periodic waveforms, forming an adjacency matrix indicating which symbols are most likely to be confused with each other, ordering the symbols accordingly, and applying a Gray code to the ordered symbols. The method may also include a symbol alphabet with a plurality of symbols that may also include means for building an adjacency matrix describing likelihood of inter-symbol interference and means for ordering the symbols based on the adjacency matrix and for Gray coding the ordered symbols. The method may also include applying a standard Gray code to an ordered symbol list such that successive symbols in the ordered list are assigned bit sequences that differ by one bit.