Title :
Kennaugh´s optimal polarization and eigenvalue problem
Author_Institution :
Northwestern Polytech. Univ., Xian, Shaanxi, China
fDate :
June 28 1993-July 2 1993
Abstract :
The left and right Kennaugh eigenvectors of the symmetric scattering matrix are first introduced. It can be shown that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are the right and left Kennaugh eigenvectors of the symmetric scattering matrix, respectively. Then, the left and right generalized eigenvectors of the asymmetric scattering matrix are considered. It can also be proved that the Kennaugh optimal polarizations of the transmitter and receiver are e/sup i/spl alpha//x/sub 1/ and e/sup i/spl beta//y/sub 1/, where x/sub 1/ and y/sub 1/ are right and left generalization eigenvectors of the asymmetric scattering matrix, respectively.<>
Keywords :
S-matrix theory; eigenvalues and eigenfunctions; radar polarimetry; radar receivers; radar theory; radar transmitters; Kennaugh eigenvectors; Kennaugh optimal polarizations; asymmetric scattering matrix; eigenvalue problem; generalization eigenvectors; symmetric scattering matrix; Eigenvalues and eigenfunctions; Matrix decomposition; Polarization; Scattering; Singular value decomposition; Symmetric matrices; Tiles; Transmitters;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1993. AP-S. Digest
Conference_Location :
Ann Arbor, MI, USA
Print_ISBN :
0-7803-1246-5
DOI :
10.1109/APS.1993.385585
