The performance of simplified maximum-likelihood sequence detector for continuous phase modulation scheme

Continuous phase modulation (CPM) signals, which can be written as a sum of amplitude modulated pulses (AMP), are optimally demodulated using maximum-likelihood sequence detection (MLSD). It has been shown that CPM signals can be approximated by a single amplitude modulated pulse. This approximation reduces the complexity of MLSD. We examine the performance of this simplified receiver. The performance criterion used in this paper is the symbol error probability, which is a function of the minimum Euclidean distance (d_min²)·d _min² of the simplified receiver is compared to d _min² of the optimum receiver both asymptotically and for each observation interval