SER Expressions for Double Differential Modulation

Abstract

We present symbol error rate (SER) expressions for the double differential (DD) modulation with MPSK constellations (DDMPSK) over AWGN, Rayleigh, and Ricean fading channels with carrier offsets in a single-input single-output (SISO) system. A closed-form expression is derived for SER in double differential binary phase shift keying (DDBPSK) over AWGN channels with carrier offset. Next, we derive a closed-form solution for the SER of DDBPSK and lower and upper bounds over the SER for DDMPSK signals over Rayleigh fading channels with carrier offset. A closed-form SER formulation for DDBPSK over Ricean fading channel with carrier offset is also presented.