Title :
Least squares design of the class of triplet halfband filter banks
Author_Institution :
Dept. of Electron. Eng., La Trobe Univ., Bundoora, Vic., Australia
Abstract :
A new approach is presented for designing the recently introduced class of Triplet Halfband Filter Bank (THFB) which are defined by three kernels. The parametric Bernstein polynomial is used to construct the kernels. The design of the free parameters of the Bernstein polynomial is achieved through a least squares method. A novel iterative procedure is employed to optimize the objective function which is a multiquadratic function of the free parameters. The design technique allows filters with different characteristics to be designed with ease. Filter regularity can be traded for increased sharpness in the frequency response
Keywords :
channel bank filters; digital filters; frequency response; iterative methods; least squares approximations; low-pass filters; polynomials; wavelet transforms; frequency response; iterative procedure; kernels; least squares design; multiquadratic function; objective function; parametric Bernstein polynomial; triplet halfband filter banks; Channel bank filters; Discrete transforms; Electronic mail; Filter bank; Frequency response; Kernel; Least squares methods; Low pass filters; Polynomials; Signal processing;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921112
