Performance of a CFAR burst detection scheme for TDMA bursts with constant modulus modulation format

The performance of a constant false-alarm rate (CFAR) burst detection scheme is analyzed for a communication system which employs a constant modulus modulation format and a typical time division multiple access protocol. The burst detection probability is derived for a most general situation where the received signal is not perfect at the receiver, i.e., the burst detection probability is expressed as a function of a received signal quality measure which can be interpreted as correlation peak loss. For the case where the signal is received without distortion, the detection performance loss due to frequency offset or/and timing mis-alignment can be easily found by evaluating the auto-ambiguity function of the signal. Numerical examples are presented.