Optimal multi-h phase codes for full response continuous phase signaling
John P. Fonseka
Abstract
John P. Fonseka
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.>
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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.>
Key concepts: Continuous phase modulation, Binary number, Phase-shift keying, Euclidean distance, Phase (matter), Code (set theory), Algorithm, Modulation (music)