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]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
University of the Philippines [UP System]
Language
en
Article de revue
This item was published in
Journal of Fourier Analysis and Applications. 2020, vol. 26, p. 54
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported