Title :
A direct method for the design of 2-D nonseparable filter banks
Author :
Lu, W.-S. ; Antoniou, A. ; Xu, H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
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 into a weighted least squares type objective function while satisfactory stopband attenuation is assured by imposing a set of constraints on the amplitude of the lowpass analysis filter in the stopband. Analytical formulas for the exact and efficient evaluation of the objective function are derived, and an analysis on the local convergence of the proposed algorithm is given. The paper concludes with two design examples that illustrate the proposed design method
Keywords :
convergence of numerical methods; filtering theory; iterative methods; least squares approximations; quadratic programming; two-dimensional digital filters; 2D nonseparable filter banks; diamond-shaped filter banks; direct method; filter bank design; iterative quadratic programming problem; local convergence; lowpass analysis filter; perfect reconstruction condition; stopband attenuation; weighted least squares type objective function; Algorithm design and analysis; Attenuation; Channel bank filters; Convergence; Design methodology; Filter bank; Frequency; Least squares methods; Passband; Quadratic programming;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.612802
