Rapid estimation of the range-Doppler scattering function

Under wide sense stationary uncorrelated scattering (WSSUS) conditions, the signal spreading due to a random channel may be described by the scattering function (SF). In an active acoustic system, the received signal is modeled as the superposition of delayed and Doppler spread replicas of the transmitted waveform. The SF completely describes the second-order statistics of a WSSUS channel and can be considered a density function that characterizes the average spread in delay and Doppler experienced by an input signal as it passes through the channel. The SF and its measurement will be reviewed. An estimator is proposed based on a two-dimensional autoregressive (AR) model for the scattering function. In order to implement this estimator we derive the minimum mean square error estimator of the time-varying frequency response of a linear channel. Unlike conventional Fourier methods the AR approach does not suffer from the usual convolutional smoothing due to the signal ambiguity function. Simulation results are given.