Wavelets in optimal radar range-Doppler imaging

It is shown that the most accurate reconstruction of a range-Doppler target density that can be computed from N waveforms and their echoes is obtained by transmitting the singular functions corresponding to the N largest singular values of two kernels derived from the target density. The singular functions are valid wavelets that obey an additional orthogonality constraint in the frequency domain. Using this result, the author briefly discusses a solution to the problem of choosing a set of N waveforms to reconstruct with high accuracy an arbitrary unknown target range-Doppler density function