Optimal Detection of a Signal with Time-Varying Carrier Phase

The problem considered in this paper is the detection of a signal signal known except for time-varying carrier phase in white Gaussian noise. The method of attacking this problem is to model the time-varying carrier phase as a Markov Markov process. Fourier transform techniques are then applies to yield a simple simple time-wise adaptive form for the phase-tracking detector. Optimal accounting for the time variations in phase is accomplished via a simple simple algorithm which serves to update the detector memory. Furthermore, it is shown that this memory updating operation is a discrete discrete linear filter whose impulse response is a simple simple function of the previous memory state and the Markov transitional statistics on the phase. A priori knowledge regarding the phase is summarized in the initial impulse response of the updating filter. Copyright © 1974 by The Institute of Electrical and Electronics Engineers, Inc.

Duke Scholars

Author Loren W. Nolte Electrical and Computer Engineering