Title :
FIR Filter Approximation by IIR Filters Based on Discrete-Time Vector Fitting
Author :
Wong, Ngai ; Lei, Chi-Un
Author_Institution :
Dept. of Electr. & Electron. Eng., Hong Kong Univ.
Abstract :
We present a novel way of approximating FIR filters by IIR structures through generalizing the vector fitting (VF) algorithm, popularly used in continuous-time frequency-domain rational approximation, to its discrete-time counterpart called VFz. VFz progressively refines the filter poles for improved approximation. Linear equation and eigenvalue solves are used in each iteration, with real-arithmetic formulation to accommodate complex poles. Comparison against conventional algorithms confirms that VFz exhibits fast convergence and produces highly accurate IIR approximants.
Keywords :
FIR filters; IIR filters; approximation theory; continuous time filters; eigenvalues and eigenfunctions; frequency-domain analysis; poles and zeros; FIR filter approximation; IIR filters; IIR structures; continuous-time frequency-domain rational approximation; discrete-time counterpart; discrete-time vector fitting; eigenvalue; filter poles; linear equation; vector fitting algorithm; Approximation algorithms; Digital filters; Eigenvalues and eigenfunctions; Equations; Finite impulse response filter; Frequency; IIR filters; Poles and zeros; Power system modeling; Vectors;
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.2007.378858
