Phase Retrieval for Wide Band Signals
Résumé
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.
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