Title :
Linearized least squares design of transformation function for filter banks
Author_Institution :
Dept. of Electron. Eng., La Trobe Univ., Bundoora, Vic., Australia
Abstract :
The design of biorthogonal filter banks using the transformation of variables technique is considered in this paper. The transformation function is constructed by using the parametric Bernstein polynomial and a high number of vanishing moments can be easily achieved. In previous approaches, the transformation function is designed independently of the prototype filter but in this paper the transformation is optimized with regards to the prototype filter. A least squares formulation leads to a complex non-linear optimization problem. We present a way to linearize the problem and then present an efficient iterative procedure to solve the problem.
Keywords :
channel bank filters; iterative methods; least squares approximations; polynomials; biorthogonal filter banks; iterative procedure; least squares formulation; linearized least squares design; nonlinear optimization; parametric Bernstein polynomial; transformation function; Channel bank filters; Discrete wavelet transforms; Electronic mail; Filter bank; Image reconstruction; Least squares methods; Low pass filters; Nonlinear filters; Polynomials; Prototypes;
Conference_Titel :
Communications and Information Technology, 2005. ISCIT 2005. IEEE International Symposium on
Print_ISBN :
0-7803-9538-7
DOI :
10.1109/ISCIT.2005.1566929