Resolving delay-free loops in recursive filters using the modified Härmä method

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

3 Scopus citations

Abstract

Resolving delay-free loops in recursive filter structures has been a longstanding problem approached in several different ways including signal flow graph manipulation [1], [2] and more recently with Zavalishin's instantaneous response technique [3],[4]. Härmä demonstrates a method for resolving delay-less loops in recursive filter structures [5] but the technique is limited to a specific generic loop topology in which the feedforward branch does not implement signal processing; all processing is implemented in one or more delay-less feedback loops. We modify Härmä's method to accommodate filter processing in the feedforward branch and provide a step-by-step method to resolve delay-less loops in recursive filter structures. We conclude with examples including a new method of synthesizing fourth order filters.

Original languageEnglish (US)
Title of host publication137th Audio Engineering Society Convention 2014
PublisherAudio Engineering Society
Pages720-729
Number of pages10
ISBN (Print)9781634397483
StatePublished - 2014
Event137th Audio Engineering Society Convention 2014 - Los Angeles, United States
Duration: Oct 9 2014Oct 12 2014

Other

Other137th Audio Engineering Society Convention 2014
CountryUnited States
CityLos Angeles
Period10/9/1410/12/14

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ASJC Scopus subject areas

  • Modeling and Simulation
  • Acoustics and Ultrasonics

Cite this

Pirkle, W. (2014). Resolving delay-free loops in recursive filters using the modified Härmä method. In 137th Audio Engineering Society Convention 2014 (pp. 720-729). Audio Engineering Society.