Title :
Steepest descent algorithm for Block Wavelet Transform filter coefficients that generate orthogonal transform matrix
Author :
Dodan, M. ; Gerek, Ömer N.
Abstract :
Itpsilas known that the transform matrix generated by block wavelet transform (BWT) is orthogonal. Eigenvector matrix of the autocorrelation matrix obtained in Karhunen-Loeve transform is also orthogonal. This matrix is used for computing the features of signals. Itpsilas thought that BWT can be used in the same manner. A BWT obtained by finite number of filter coefficients will be advantegous. In this paper, a method for the computation of BWT filter coefficients by Steepest Descent algorithm will be proposed.
Keywords :
Karhunen-Loeve transforms; eigenvalues and eigenfunctions; matrix algebra; signal processing; wavelet transforms; Karhunen-Loeve transform; autocorrelation matrix; block wavelet transform; eigenvector matrix; orthogonal transform matrix; steepest descent algorithm; Autocorrelation; Binary decision diagrams; Boolean functions; Data structures; Finite impulse response filter; Karhunen-Loeve transforms; Wavelet transforms;
Conference_Titel :
Signal Processing, Communication and Applications Conference, 2008. SIU 2008. IEEE 16th
Conference_Location :
Aydin
Print_ISBN :
978-1-4244-1998-2
Electronic_ISBN :
978-1-4244-1999-9
DOI :
10.1109/SIU.2008.4632610
