DocumentCode
1226490
Title
The center weighted Hadamard transform
Author
Lee, Moon Ho
Author_Institution
Dept. of Inf. & Telecommun. Eng., Chonbuk Nat. Univ., Chonju, South Korea
Volume
36
Issue
9
fYear
1989
fDate
9/1/1989 12:00:00 AM
Firstpage
1247
Lastpage
1249
Abstract
The center weighted Hadamard transform (CWHT) is defined. This transform is similar to the Hadamard transforms (HT) in that it requires only real operations. The CWHT, however, weights the region of mid-spatial frequencies of the signal more than the HT. A simple factorization of the weighted Hadamard matrix is used to develop a fast algorithm for the CWHT. The matrix decomposition is of the form of the Kronecker products of fundamental Hadamard matrices and successively lower-order weighted Hadamard matrices
Keywords
matrix algebra; picture processing; signal processing; transforms; Kronecker products; center weighted Hadamard transform; fast algorithm; fundamental Hadamard matrices; image processing; lower-order weighted Hadamard matrices; matrix decomposition; mid-spatial frequencies; real operations; signal processing; Circuits and systems; Discrete transforms; Polynomials; Stability; Sufficient conditions; Testing;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.34673
Filename
34673
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