Title :
Explicit formula for generalized half-band maximally flat diamond-shaped filters
Author :
Samadi, Sued ; Nishihara, Akinori
Author_Institution :
Univ. of Electro-Commun., Tokyo, Japan
Abstract :
An explicit polynomial solution to the functional equation H(z1, z2)±H(-z1, -z2)-z1(-D1)z2(-D2 ) is derived. The solution gives rise to an intriguing class of half-band diamond-shaped FIR digital filters encompassing linear-phase filters as well. The functional equation is solved so that the number of vanishing partial derivatives of the frequency response of H(z1 , z2) at wl1=w2=π are maximized. This results in a maximally flat magnitude response with a flat group delay response in the passband
Keywords :
FIR filters; digital filters; filtering theory; frequency response; linear phase filters; polynomials; FIR digital filters; diamond-shaped filters; explicit formula; explicit polynomial solution; flat group delay response; frequency response; functional equation; generalized half-band filters; linear-phase filters; maximally flat filters; maximally flat magnitude response; Band pass filters; Delay; Digital filters; Equations; Finite impulse response filter; Frequency response; Passband; Polynomials; Transfer functions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856070
