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Symmetric convolution using unitary transform matrices

โœ Scribed by Foltz, T.M.; Welsh, B.M.; Holmberg, C.D.


Book ID
118690790
Publisher
IEEE
Year
2000
Tongue
English
Weight
62 KB
Volume
48
Category
Article
ISSN
1053-587X

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Let H 1 be an n ร— n invertible Hermitian matrix, and let U(H 1 ) be the group of n ร— n H 1 -unitary matrices, i.e., matrices A satisfying A \* H 1 A = H 1 . Suppose H 2 is an m ร— m invertible Hermitian matrix. We show that a linear transformation ฯ† : and ฯ† has the form where a, b, c and d are nonn