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.
On signal reconstruction without noisy phase
Published 2004 in arXiv: Functional Analysis
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- Publication year
2004
- Venue
arXiv: Functional Analysis
- Publication date
2004-12-20
- Fields of study
Mathematics, Physics, Computer Science
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