Receiver-transmitter optimization for detection in doubly spread channels
D.M. Drumheller, Dennis W. Ricker · The Journal of the Acoustical Society of America · 1991
The problem addressed in this paper is the maximization of the expected matched filter receiver response to a signal which has been propagated through an acoustic channel whose average scattering properties may be expressed in terms of a scattering function. The channel is assumed to be doubly spread; i.e., a signal propagating through it will experience both time delay and frequency spreading. For this model, the expected receiver response is given by the two-dimensional convolution of the channel scattering function and the cross-ambiguity function defined by the transmitted and processing waveforms. It is shown that the response may be maximized by iteratively altering either one or both of the waveforms so that the volume distribution of the cross-ambiguity function approaches that of the scattering function. It is shown that under specific conditions, convergence can be guaranteed.