Phase smoothing functions of full response CPM

Continuous phase modulation (CPM) is examined for low-complexity receivers, i.e. those that operate on only one symbol interval. The tradeoff between the bandwidth and bit error rate (BER) performance of these simple systems is studied. The phase-smoothing functions that minimize the effective bandwidth for a given BER are calculated. A linear and polynomial approximation to these phase-smoothing functions are chosen. The three families are compared using their bandwidth-BER performance tradeoffs, power spectral densities, out-of-band powers, and bandwidth efficiencies. It is shown that CPM schemes with small modulation indices (h>