Hermite functions and regularized deconvolution in sonar waveform design and processing

A special type of comb waveform based on the Hermite function space is described. This family of waveforms is well-suited for providing simultaneous range and Doppler resolution, is relatively efficient in its use of sonar projector power, and is especially amenable to the use of constrained regularized deconvolution methods to robustly reduce sidelobes and retain intrinsic range and Doppler resolution.