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Phase delay and group delay functions are well known in lumped system theory but they are not well understood, particularly in the context of non-minimum phase lumped systems. This paper presents four paradoxes that arise from an overly-literal interpretation of the phase delay function. The paradoxes are very simply illustrated using the example of a first order loudspeaker crossover. A new system response model is presented to resolve these paradoxes. The model is extended to higher order systems and to non-minimum phase systems. Applications and implications for system analysis are discussed.
Author (s): Dash, Ian; Fricke, Fergus
Affiliation:
Australian Broadcasting Corporation, Sydney, NSW, Australia; University of Sydney, Sydney, NSW, Australia
(See document for exact affiliation information.)
AES Convention: 128
Paper Number:8078
Publication Date:
2010-05-06
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Session subject:
Loudspeakers and Headphones
Permalink: https://aes2.org/publications/elibrary-page/?id=15375
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Dash, Ian; Fricke, Fergus; 2010; Phase, Polarity, and Delay or Why a Loudspeaker Crossover Is Not a Time Machine [PDF]; Australian Broadcasting Corporation, Sydney, NSW, Australia; University of Sydney, Sydney, NSW, Australia; Paper 8078; Available from: https://aes2.org/publications/elibrary-page/?id=15375
Dash, Ian; Fricke, Fergus; Phase, Polarity, and Delay or Why a Loudspeaker Crossover Is Not a Time Machine [PDF]; Australian Broadcasting Corporation, Sydney, NSW, Australia; University of Sydney, Sydney, NSW, Australia; Paper 8078; 2010 Available: https://aes2.org/publications/elibrary-page/?id=15375