Few-frame phase retrieval is motivated by the demand of real time audio signal processing which is severely ill-posed and fundamentally challenging. This paper is an exploratory study of single-frame phase retrieval of audio signals with two additional ingredients: a random gating function and symmetry-breaking DC component. In general, randomly phased gating and a suitably chosen DC component can bring the success rate of single-frame phase retrieval to unity and yield accurate, stable, fast convergent numerical reconstruction. The tradeoff between the diversity of the gate and the magnitude of DC component is investigated.

Authors: Fannjiang, Dominic; Fannjiang, Albert
Affiliations: Davis Senior High School, Davis, CA, USA; University of California, Davis, Davis, CA, USA(See document for exact affiliation information.)
AES Convention: 137 (October 2014) Paper Number: 9123
Publication Date: October 8, 2014
Subject: Audio Signal Processing

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