Look-Up Table Based Differential Amplitude/Phase Modulation Schemes for Rayleigh Block Fading Channels

In this paper, we focus on the design of differential amplitude/phase modulation schemes by a look-up table for Rayleigh fading channels. In the first part of this paper, we first propose the noncoherent distance measure for each two signal vectors based on the maximum-likelihood (ML) signal detection under Rayleigh fading channels. The design criterion/procedure of the look-up table is then investigated. In the second part of this paper, linear dispersion codes are used to construct a multi-dimensional differential amplitude/phase modulation scheme, with the aid of the genetic algorithm. Both schemes are shown to provide improvements in error performance, when comparing to the conventional scheme provided in the literature.