Code Design for Noncoherent Detection in Satellite Communication Systems

In this paper, we propose a waveform design that is robust to noncoherent detection for quadrature phase-shift keying (QPSK) and quadrature amplitude modulation (QAM) schemes. Our proposed complex constellation waveforms are based on the quaternary complex Hadamard matrices. The advantage of the proposed waveforms is that they have the largest noncoherent minimum distance in the complex domain and meet the maximum Hamming distance in their equivalent binary domain.