Title :
Families of binary coefficient biorthogonal wavelet filters
Author_Institution :
Dept. of Electron. Eng, LaTrobe Univ., Bundoora, Vic., Australia
Abstract :
Two families of binary coefficient biorthogonal wavelet filters are presented in this paper. A binary (or dyadic) coefficient is an integer divided by a power of 2. The filters can be implemented efficiently without using any multipliers. The technique that is used to obtain the filters, hinges on the idea of freeing some of the zeros of the Lagrange Halfband Filter (LHBF) to allow some degree of freedom in choosing the coefficients. The first family is the 9/7 pairs and the second is the 6/10 pairs. Filters within the family are parametrized in a simple manner by a free parameter. By adjusting the free parameter, filters with different characteristics can be easily obtained while guaranteeing that the coefficients will always be binary
Keywords :
filtering theory; wavelet transforms; 6/10 pairs; 9/7 pairs; Lagrange halfband filter; binary coefficient wavelet filters; biorthogonal wavelet filters; dyadic coefficient; Frequency response; Nonlinear filters; Polynomials; Transfer functions;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856074
