Optimal FIR and IIR Hilbert Transformer Design Via LS and Minimax Fitting

I. Kollár, Rik Pintelon, Johan Schoukens

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The usual way of the implementation of on-line discrete Hilbert transformers is the design of linear phase finite impulse response (FIR) filters. Recently, a method has been published for the design of infinite impulse response (IIR) Hilbert transformers as well. The paper introduces a new method for the design of both FIR and IIR Hilbert transformers, based on a parameter estimation method for linear systems. The first approximation is performed in least squares (LS) sense in the complex domain. An iterative extension of the algorithm is also presented. It results in an approximation in minimax(Chebyshev) sense, and is also in the complex domain.

Original languageEnglish
Pages (from-to)847-852
Number of pages6
JournalIEEE Transactions on Instrumentation and Measurement
Volume39
Issue number6
DOIs
Publication statusPublished - 1990

Fingerprint

Impulse response
transformers
impulses
FIR filters
linear systems
approximation
Parameter estimation
Linear systems

Keywords

  • approximation in the complex domain
  • Chebyshev approximation
  • digital filter design
  • Hilbert transformer
  • least squares fitting
  • minimax criterion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Optimal FIR and IIR Hilbert Transformer Design Via LS and Minimax Fitting. / Kollár, I.; Pintelon, Rik; Schoukens, Johan.

In: IEEE Transactions on Instrumentation and Measurement, Vol. 39, No. 6, 1990, p. 847-852.

Research output: Contribution to journalArticle

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