Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting

I. Kollár, R. Pintelon, J. Schoukens

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

A novel method for the design of digital finite impulse response (FIR) and infinite impulse response (IIR) Hilbert transformers using the least squares (LS) and the minimax criteria is presented. The LS approximation is performed in the complex domain. Also presented is an iterative extension of the algorithm, which results in a minimax (Chebyshev) approximation, also in the complex domain. For FIR filters the results are the same as those of the optimal methods known from the literature. For the same task, stable IIR filters have also been successfully designed. The procedures proposed here are usable for the design of digital filters other than Hilbert transformers, since the desired frequency response can be given point by point.

Original languageEnglish
Title of host publicationIEEE Instrum Meas Technol Conf
Editors Anon
PublisherPubl by IEEE
Pages240-243
Number of pages4
Publication statusPublished - 1990
EventIEEE Instrumentation and Measurement Technology Conference - San Jose, CA, USA
Duration: Feb 13 1990Feb 15 1990

Other

OtherIEEE Instrumentation and Measurement Technology Conference
CitySan Jose, CA, USA
Period2/13/902/15/90

Fingerprint

Impulse response
Chebyshev approximation
Least squares approximations
IIR filters
FIR filters
Digital filters
Frequency response

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kollár, I., Pintelon, R., & Schoukens, J. (1990). Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting. In Anon (Ed.), IEEE Instrum Meas Technol Conf (pp. 240-243). Publ by IEEE.

Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting. / Kollár, I.; Pintelon, R.; Schoukens, J.

IEEE Instrum Meas Technol Conf. ed. / Anon. Publ by IEEE, 1990. p. 240-243.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kollár, I, Pintelon, R & Schoukens, J 1990, Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting. in Anon (ed.), IEEE Instrum Meas Technol Conf. Publ by IEEE, pp. 240-243, IEEE Instrumentation and Measurement Technology Conference, San Jose, CA, USA, 2/13/90.
Kollár I, Pintelon R, Schoukens J. Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting. In Anon, editor, IEEE Instrum Meas Technol Conf. Publ by IEEE. 1990. p. 240-243
Kollár, I. ; Pintelon, R. ; Schoukens, J. / Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting. IEEE Instrum Meas Technol Conf. editor / Anon. Publ by IEEE, 1990. pp. 240-243
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