On the computation of a minimum-phase spectral factor

Author

Orchard, H.J. ; Willson, Alan N., Jr.

Author_Institution

Dept. of Electr. Eng., Univ. of California, Los Angeles, CA, USA

Volume

50

Issue

3

fYear

2003

fDate

3/1/2003 12:00:00 AM

Firstpage

365

Lastpage

375

Abstract

The problem of finding the minimum-phase spectral factor of a linear-phase digital filter having double zeros on the unit circle is addressed. It is shown that a simple Newton-Raphson iterative algorithm can compute this factor quickly and accurately and a short Matlab program for doing the computation is given. The Newton-Raphson method is also compared to an alternative approach by finding the zeros of polynomials. The accuracy of solutions obtained is of major emphasis in the work.

Keywords

Newton-Raphson method; convergence of numerical methods; digital filters; electronic engineering computing; filtering theory; linear phase filters; poles and zeros; Matlab program; Newton-Raphson iterative algorithm; double zeros; filter bank; filter design; linear-phase digital filter; minimum-phase spectral factor; polynomial factor; unit circle; Circuits; Convergence; Digital filters; Filter bank; Finite impulse response filter; Iterative algorithms; Polynomials; Process design; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2003.808851

Filename

1193018