The fractional Fourier transform refinement of Wright's conjecture

Let $F$ denote the $M\times M$ discrete fractional Fourier transform defined in Candan, Kutay, and Ozaktas (2000), and let $I$ be the $M\times M$ identity matrix. The columns of a matrix are taken as measurement vectors. Fractional Fourier transform conjecture. For every $M\geq 3$, the measurement matrix

$$\Phi=[I\ F^{1/2}\ F\ F^{3/2}]$$

yields injective intensity measurements. This is presented as a refinement of Wright's conjecture after Wright's conjecture was disproved; the source verifies the construction in a specific three-dimensional example, but does not establish the stated claim for every $M\geq3$.