The wideband received signal as the affine group Fourier transform of the range-Doppler wideband target reflectivity function evaluated at the transmitted waveform has been described. The approach provides to a framework in which the high resolution target reflectivity function estimation and waveform design problems are jointly addressed. A Wiener filtering method in the Fourier transform of the affine group to suppress clutter has been developed. Then, that Wiener filter use to precondition the transmitted waveforms to reject clutter has been shown. When, only N waveforms are to be transmitted, the optimal waveforms in the MMSE sense becomes the eigenfunctions of the modified Wiener filter corresponding to the largest N eigenvalues.

Inspec keywords: reflectivity; least mean squares methods; Doppler radar; radar clutter; Wiener filters; radar signal processing; Fourier transforms; radar resolution; broadband networks

Other keywords: Wiener filtering method; wideband received signal; high resolution range-doppler target reflectivity function estimation; waveform design problems; orthogonal waveforms; MMSE; range-Doppler wideband target reflectivity function; waveform transmission preconditioning; clutter suppression; optimal waveforms; affine group Fourier transform; eigenvalues; modified Wiener filter

Subjects: Interpolation and function approximation (numerical analysis); Integral transforms; Filtering methods in signal processing; Radar equipment, systems and applications