Synthesis of low-sensitivity digital filters using T-cascade connections. Extraction of wave digital lattice filter sections

Eiji Watanabe, Kenji Minagawa, Akinori Nishihara

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper proposes new low-sensitivity filter structures which are also suited for pipeline processing. The fundamental idea to obtain low-sensitivity structures is to synthesize digital 2-port circuits with 'structurally induced losslessness,' as done by P. P. Vaidyanathan and S. K. Mitra. The losslessness of a digital 2-port circuit is characterized by a para-unitary scattering matrix. Wave digital filters (WDF's) also have this losslessness when they are modeled after reactance filters. The proposed structures are synthesized by factoring such scattering matrices, and constructed using T-cascade connection of new basic sections, in contrast with the II-cascade connection used in WDF's. Each section, which is also characterized by a paraunitary scattering matrix, is realized as a lattice WDF. The proposed structures can realize any given transfer function, and if the function has a certain symmetry, they reduce to lattice WDF's.

Original languageEnglish
Pages (from-to)87-95
Number of pages9
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume73
Issue number5
Publication statusPublished - 1990 May
Externally publishedYes

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Cascade connections
Digital filters
Scattering
Networks (circuits)
Transfer functions
Pipelines
Processing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper proposes new low-sensitivity filter structures which are also suited for pipeline processing. The fundamental idea to obtain low-sensitivity structures is to synthesize digital 2-port circuits with 'structurally induced losslessness,' as done by P. P. Vaidyanathan and S. K. Mitra. The losslessness of a digital 2-port circuit is characterized by a para-unitary scattering matrix. Wave digital filters (WDF's) also have this losslessness when they are modeled after reactance filters. The proposed structures are synthesized by factoring such scattering matrices, and constructed using T-cascade connection of new basic sections, in contrast with the II-cascade connection used in WDF's. Each section, which is also characterized by a paraunitary scattering matrix, is realized as a lattice WDF. The proposed structures can realize any given transfer function, and if the function has a certain symmetry, they reduce to lattice WDF's.",
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