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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.
Author (s): Fannjiang, Dominic; Fannjiang, Albert
Affiliation:
Davis Senior High School, Davis, CA, USA; University of California, Davis, Davis, CA, USA
(See document for exact affiliation information.)
AES Convention: 137
Paper Number:9123
Publication Date:
2014-10-06
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Session subject:
Audio Signal Processing
Permalink: https://aes2.org/publications/elibrary-page/?id=17446
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Fannjiang, Dominic; Fannjiang, Albert; 2014; Audio Signal Recovery from Single-Frame Randomly Gated Fourier Magnitudes [PDF]; Davis Senior High School, Davis, CA, USA; University of California, Davis, Davis, CA, USA; Paper 9123; Available from: https://aes2.org/publications/elibrary-page/?id=17446
Fannjiang, Dominic; Fannjiang, Albert; Audio Signal Recovery from Single-Frame Randomly Gated Fourier Magnitudes [PDF]; Davis Senior High School, Davis, CA, USA; University of California, Davis, Davis, CA, USA; Paper 9123; 2014 Available: https://aes2.org/publications/elibrary-page/?id=17446