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On signal reconstruction without noisy phase

Radu Balan·Pete Casazza·Dan Edidin
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Abstract

We construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from the absolute value of the frame coefficients. As a consequence, signal reconstruction can be done without using noisy phase or its estimation. This verifies a longstanding conjecture of the speech processing community.

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Radu Balan, Pete Casazza, Dan Edidin. 2004-12-20. On signal reconstruction without noisy phase. https://arxiv.org/abs/math/0412411

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