Module-phase codes with non-coherent detection

Coded M-PSK schemes with non-coherent detection are considered. A class of block codes called model phase codes is presented. The algebraic framework used for constructing these codes relies on elements from module theory, which is discussed together with a method for constructing such codes for non-coherent detection. It is shown that differential encoding can be viewed as a specific code from a particular class of module-phase codes. Two classes of codes which achieve significant coding gain with respect to coherent detection of uncoded M-PSK are presented. In the first class of module-phase codes, the coding gain is achieved at the expense of bandwidth expansion. In the second class, the coding gain is achieved at the expense of signal constellation expansion without expanding bandwidth