Phase retrieval for wide-band signals
PEREZ III, Rolando
Institut de Mathématiques de Bordeaux [IMB]
University of the Philippines [UP System]
Institut de Mathématiques de Bordeaux [IMB]
University of the Philippines [UP System]
PEREZ III, Rolando
Institut de Mathématiques de Bordeaux [IMB]
University of the Philippines [UP System]
< Leer menos
Institut de Mathématiques de Bordeaux [IMB]
University of the Philippines [UP System]
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Fourier Analysis and Applications. 2020, vol. 26, p. 54
Springer Verlag
Resumen en inglés
This study investigates the phase retrieval problem for wide-band signals. We solve the following problem: given f ∈ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x|} dx), we find all functions g ∈ L 2 (R) with Fourier ...Leer más >
This study investigates the phase retrieval problem for wide-band signals. We solve the following problem: given f ∈ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x|} dx), we find 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 first translate the problem to functions in the Hardy spaces on the disc via a conformal bijection, and take advantage of the inner-outer factorization. We also consider the same problem with additional constraints involving some transforms of f and g, and determine if these constraints force uniqueness of the solution.< Leer menos
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