학술논문
Phase Retrieval for Wide Band Signals
Document Type
Conference
Author
Source
2019 13th International conference on Sampling Theory and Applications (SampTA) Sampling Theory and Applications (SampTA), 2019 13th International conference on. :1-4 Jul, 2019
Subject
Language
Abstract
This study investigates the phase retrieval problem for wideband signals. More precisely, we solve the following problem: given f ∈ L 2 (ℝ) with Fourier transform in L 2 (ℝ, e 2c|x| dx) we determine all functions g ∈ L 2 (ℝ) with Fourier transform in L 2 (ℝ, e 2c|x| dx), such that |f (x)| = |g(x)| for all x ∈ ℝ. To do so, we translate the problem into a phase retrieval problem for functions in Hardy spaces on the disc and use the inner-outer factorization.