Title :
A direct method for the design of 2-D nonseparable filter banks
Author :
Lu, Wu-Sheng ; Antoniou, Andreas ; Xu, Hua
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
fDate :
8/1/1998 12:00:00 AM
Abstract :
A direct approach for the design of 2-D nonseparable diamond-shaped filter banks is proposed. The design goal is achieved by formulating the problem as an iterative quadratic programming problem in which the perfect reconstruction condition is incorporated in a weighted quadratic objective function. Satisfactory stopband attenuation is assured by imposing a set of constraints on the amplitude response of the low-pass analysis filter. Formulas for the exact and efficient evaluation of the objective function are derived, which facilitate precise and efficient function evaluations. The authors conclude with two design examples that illustrate the proposed design method
Keywords :
filtering theory; function evaluation; quadratic programming; two-dimensional digital filters; 2D nonseparable filter banks; amplitude response; diamond-shaped filter banks; direct design method; iterative quadratic programming problem; low-pass analysis filter; perfect reconstruction condition; stopband attenuation; weighted quadratic objective function; Biomedical signal processing; Channel bank filters; Design methodology; Filter bank; Finite impulse response filter; Image reconstruction; Lattices; Mirrors; Nonlinear filters; Speech processing;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
