Title :
Design of Diamond and Circular Filters by Semi-definite Programming
Author :
Hung, T.Q. ; Tuan, H.D. ; Nguyen, T.Q.
Author_Institution :
Sch. of Elect. Eng. & Telecom., UNSW, Sydney, NSW
Abstract :
A new design for linear phase diamond-shaped (DS) and circular-shaped (CS) 2D filters is developed. First, the frequency masks are efficiently constrained by 2D second-order trigonometric polynomials. Then semi-definite programming (SDP) of reasonably low dimension is employed to effectively express the filter specifications. Several numerical examples are provided to demonstrate the superior performance of our design in comparison with all other existing designs.
Keywords :
polynomials; two-dimensional digital filters; 2D second-order trigonometric polynomials; circular-shaped 2D filters; frequency masks; linear phase diamond-shaped 2D filters; semi-definite programming; Band pass filters; Bandwidth; Filter bank; Frequency; Matched filters; Passband; Polynomials; Shape control; Shape measurement; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.377969