Title :
Nonuniqueness of lossless inverse scattering solutions and spectral approximation
Author :
Chitrapu, Prabhakar Rao
Author_Institution :
Dept. of ECE, Drexel Univ., Philadelphia, PA, USA
Abstract :
The solution to the lossless inverse scattering (LIS) problem is known to be nonunique. In the present work the author investigates the implications with respect to system and spectral approximation. In particular, he considers LIS solutions which are scaled inner (g-inner) functions and shows that the corresponding spectral approximants are very special. Secondly, he shows how the nonuniqueness can be exploited to make the approximant satisfy additional constraints
Keywords :
scattering; signal processing; spectral analysis; g-inner scattering functions; lossless inverse scattering solutions; scaled inner functions; spectral approximation; Autocorrelation; Equations; Filtering theory; Interpolation; Inverse problems; Matrix converters; Propagation losses; Scattering;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176288
