Phase Retrieval for Wide Band Signals

This study investigates the phase retrieval problem for wideband signals. More precisely, we solve the following problem: given f is an element of L-2(R) with Fourier transform in L-2(R, e(2c vertical bar x vertical bar)dx) we determine all functions g is an element of L-2 (R) with Fourier transform in L-2 (R, e(2c vertical bar x vertical bar)dx), such that vertical bar f(x)vertical bar = vertical bar g(x) for all x is an element of 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.