Range-velocity resolution function of nonsinusoidal radar signals with Gaussian time variations

Signal design for carrier-free radars calls for the calculation of a range-velocity resolution function of nonsinusoidal signals consisting of a number of pulses with Gaussian time variations; this is a generalization of P.M. Woodward´s (1953) ambiguity function that includes signals that do not have a sinusoidal carrier. Doppler processing of nonsinusoidal signals is investigated in terms of the Doppler effect of pulses with Gaussian time variation and Doppler resolutionl. Doppler resolution is determined in terms of signal parameters. The range-velocity resolution function is obtained analytically and represented by a three-dimensional surface as a function of target range and velocity. Methods for approaching the thumbtack range-velocity resolution function are determined in terms of signal parameters. Several plots for range-velocity resolution function are shown