Finite State System Approach To Continuous Phase Modulation

Abstract

A bstracb A class of CPM signals called “Nonlinear CPM signa.ls” is introduced by extending nonlinear CPFSK signals bo other forms of baseband frequency pulses. Nonlinear CPM signals achieve the highest constraint length allowed by the number of states by selecting an appropriate state transition matrix. Numerical results obtained for binary signaling with half cycle sinusoid @ICs) and raised cosine (RC) frequency pulses indicate that nonlinear CPM signals have better perfomancwdwidth trade-off than nonlinear CPFSK signals. It is illustrated that nonlinear CPM signals can be realized by feeding information through a finite state machine and a constant h frequency modulator.