Optimal multi-h phase codes for full response continuous phase signaling

Abstract

Multi-h full response CPM (continuous-phase modulated) signals are analyzed at preselected numbers of states in contrast to the standard method of analyzing them at preselected numbers of modulation indices. Optimal multi-h phase codes which produce the highest minimum Euclidean distance are presented according to the number of states. Three orders of multi-h signaling are considered in the optimal code search. Numerical results are presented for binary CPFSK (continuous-phase frequency shift keying) and binary 1RC (1 raised cosine) signals at number of states from four through 12.<>