# Dattorro Convex Optimization of a Reverberator

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==Convex Optimization of a Reverberator== | ==Convex Optimization of a Reverberator== | ||

Given this industrial-strength topology for reverberation of audio, it is an open question to derive a method for choosing delayline lengths such that perceived decay is exponential. In layman's terms, it is difficult to choose delayline lengths that will not cause undulation in this reverberator's decay-tail in response to an impulsive input. | Given this industrial-strength topology for reverberation of audio, it is an open question to derive a method for choosing delayline lengths such that perceived decay is exponential. In layman's terms, it is difficult to choose delayline lengths that will not cause undulation in this reverberator's decay-tail in response to an impulsive input. | ||

- | [[Image:Progenitor.jpg|thumb|center|1280px| | + | [[Image:Progenitor.jpg|thumb|center|1280px|Progenitor reverberator after [http://www.davidgriesinger.com Griesinger] <i>ca.</i>1978]] |

Choice of delayline length is an optimization problem because one must simultaneously insure that the network provides good musical qualities; | Choice of delayline length is an optimization problem because one must simultaneously insure that the network provides good musical qualities; | ||

<i>e.g.,</i> a good reverberator should provide little coloration (input spectral change). | <i>e.g.,</i> a good reverberator should provide little coloration (input spectral change). |

## Revision as of 15:36, 2 July 2010

## Convex Optimization of a Reverberator

Given this industrial-strength topology for reverberation of audio, it is an open question to derive a method for choosing delayline lengths such that perceived decay is exponential. In layman's terms, it is difficult to choose delayline lengths that will not cause undulation in this reverberator's decay-tail in response to an impulsive input.

Choice of delayline length is an optimization problem because one must simultaneously insure that the network provides good musical qualities;
*e.g.,* a good reverberator should provide little coloration (input spectral change).

To address this problem, it may perhaps be easier to begin with the simpler topology presented by Dattorro in Effect Design, Part 1. (Level of difficulty, for this open problem in Optimization, is worthy of a Ph.D. thesis in 2010.)

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