Nonuniqueness of phase retrieval for three fractional Fourier transforms

Claudio Carmeli, Teiko Heinosaari, Jussi Schultz +1

We prove that, regardless of the choice of the angles ${\theta }_1,{\theta }_2,{\theta }_3$, three fractional Fourier transforms $F_{{\theta }_1}$, $F_{{\theta }_2}$ and $F_{{\theta }_3}$ do not solve the phase retrieval problem…