Title :
On the design of pole-zero approximations using a logarithmic error measure
Author :
Blommer, Michael A. ; Wakefield, Gregory H.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
11/1/1994 12:00:00 AM
Abstract :
For obtaining a pole-zero approximation of a linear, discrete-time system, a new method is presented which minimizes the squared difference between the log-magnitude spectrum of the system and that of the approximation. Using an iterative procedure, a locally optimal solution is found for the poles and zeros of the system approximation
Keywords :
arithmetic; autoregressive moving average processes; discrete time systems; error analysis; iterative methods; linear systems; parameter estimation; poles and zeros; spectral analysers; ARMA; iterative procedure; linear discrete-time system; locally optimal solution; log-magnitude spectrum; logarithmic error measure; pole-zero approximations; squared difference; system approximation; Approximation algorithms; Filters; Frequency response; Iterative algorithms; Least squares approximation; Linear approximation; Poles and zeros; Speech analysis; Speech synthesis; Time measurement;
Journal_Title :
Signal Processing, IEEE Transactions on