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 language | English (US) |
|---|---|
| Title of host publication | 137th Audio Engineering Society Convention 2014 |
| Publisher | Audio Engineering Society |
| Pages | 720-729 |
| Number of pages | 10 |
| ISBN (Print) | 9781634397483 |
| State | Published - 2014 |
| Event | 137th Audio Engineering Society Convention 2014 - Los Angeles, United States Duration: Oct 9 2014 → Oct 12 2014 |
Other
| Other | 137th Audio Engineering Society Convention 2014 |
|---|---|
| Country | United States |
| City | Los Angeles |
| Period | 10/9/14 → 10/12/14 |
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ASJC Scopus subject areas
- Modeling and Simulation
- Acoustics and Ultrasonics
Cite this
Resolving delay-free loops in recursive filters using the modified Härmä method. / Pirkle, Will.
137th Audio Engineering Society Convention 2014. Audio Engineering Society, 2014. p. 720-729.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - Resolving delay-free loops in recursive filters using the modified Härmä method
AU - Pirkle, Will
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
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M3 - Conference contribution
SN - 9781634397483
SP - 720
EP - 729
BT - 137th Audio Engineering Society Convention 2014
PB - Audio Engineering Society
ER -