Steepest descent algorithm for block wavelet transform filter coefficients that generate orthogonal transform matrix [Dik Dönüşüm matrisi üreten blok dalgacik süzgeç katsayilarinin en dik i·niş algoritmasi i·le bulunmasi]

Abstract

It's 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. It's 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