Design of multirate FIR digital filters with arbitrary passband

Ryoji Hirai, Masaaki Ikehara, Shinichi Takahashi

Research output: Contribution to journalArticle

Abstract

This paper proposes a new method of constructing the multirate FIR digital filter with arbitrary passband, using real-coefficient filters for the decimator and interpolator composing the multirate filter. Another method is also presented, where the multirate lowpass filter with arbitrary passband can be constructed by combining the complementary response and a lowpass filter. The multirate method is effective in realizing a narrowband response, but may not be useful in realizing a relatively wideband response. By the proposed method, the latter can easily be realized, drastically reducing the number of multiplications. Similar methods can be applied to highpass and bandstop filters.

Original languageEnglish
Pages (from-to)82-93
Number of pages12
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume72
Issue number5
Publication statusPublished - 1989 May

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Notch filters
FIR filters
Digital filters

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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AB - This paper proposes a new method of constructing the multirate FIR digital filter with arbitrary passband, using real-coefficient filters for the decimator and interpolator composing the multirate filter. Another method is also presented, where the multirate lowpass filter with arbitrary passband can be constructed by combining the complementary response and a lowpass filter. The multirate method is effective in realizing a narrowband response, but may not be useful in realizing a relatively wideband response. By the proposed method, the latter can easily be realized, drastically reducing the number of multiplications. Similar methods can be applied to highpass and bandstop filters.

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