A simple derivation of the spectral transformations for IIR filters

Author

Roy, S. C Dutta

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India

Volume

48

Issue

2

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

274

Lastpage

278

Abstract

A simple method is given for deriving the spectral transformations for infinite-impulse response (IIR) filters, which can be used to transform a prototype low-pass (LP) digital filter to another LP, high-pass (HP), bandpass (BP), or band-stop (BS) digital filter with prescribed passband edge(s) and the same tolerances as those of the prototype. The method is based on a combination of bilinear transformation with the analog frequency transformation and is simpler-conceptually, as well as from the calculation point of view-than the conventional method based on all-pass transformation functions.

Keywords

IIR filters; band-pass filters; high-pass filters; low-pass filters; IIR filter; analog frequency transformation; bilinear transformation; digital filter; infinite impulse response filter; spectral transformation; Band pass filters; Cutoff frequency; Digital filters; Digital signal processing; Helium; IIR filters; Low pass filters; Passband; Prototypes; Transfer functions; Digital filters; digital signal processing; infinite-impulse response (IIR) filters; spectral transformation;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/TE.2004.842913

Filename

1427877