Title :
Wavelets in optimal radar range-Doppler imaging
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
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
Keywords :
Doppler effect; echo; image processing; microwave imaging; radar systems; wavelet transforms; frequency domain; optimal radar range-Doppler imaging; orthogonality constraint; singular functions; target density; wavelets; Colored noise; Density functional theory; Frequency domain analysis; Image reconstruction; Kernel; Libraries; Radar imaging; Radar theory; Wavelet domain; White noise;
Conference_Titel :
Signals, Systems and Computers, 1992. 1992 Conference Record of The Twenty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-3160-0
DOI :
10.1109/ACSSC.1992.269162