Title :
The center weighted Hadamard transform
Author_Institution :
Dept. of Inf. & Telecommun. Eng., Chonbuk Nat. Univ., Chonju, South Korea
fDate :
9/1/1989 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
