On signal reconstruction without noisy phase

2004/12/20 by Radu Bălan, Radu Balan, Balan, Radu +4 · 2 citations
Computer Science · Mathematics · Medicine · #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #math.FA

paper · pdf · doi:10.48550/arxiv.math/0412411

15 pages, latex2e

arxiv created 2004/12/20 · openalex publication_date 2004/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Speech enhancement using a minimum mean-square error log-spectral amplitude estimator

Cited by

• Stable optimizationless recovery from phaseless linear measurements
• FROG-measurement based phase retrieval for analytic signals

Related

• Frames and Phaseless Reconstruction
• Stable phase retrieval with low-redundancy frames
• Enveloped Sinusoid Parseval Frames
• Sequences that do frame reconstruction
• Expansions from frame coefficients with erasures