Detection of a dual channel differential phase modulated signal in correlated noise
Clifton C Merchant · Masters Thesis · 1982
Abstract : The signal detection characteristics of a two input channel receiver is studied. The signals received on both channels are random Gaussian, narrowband processes identical except for a known channel-to-channel time delay. For narrowband representation, the time delay is treated as a differential phase modulation of the two signals. The noises on each of the two receiver channels are also random Gaussian, processes which are jointly wide sense stationary and correlated. The receiver detects the presence of a signal by estimating the average phase difference between samples of the observed signals. The performance of the signal phase matched filter receiver is compared with a cross correlation receiver which includes a noise decorrelator and signal phase compensator. The cross correlation receiver is more sensitive than the signal phase matched filter receiver if the noise correlation is known. However, if the noise correlation is unknown and the detection is made using fixed signal processing and detection threshold, the signal phase matched filter receiver gives superior performance.