Nonuniform MIMO Sampling and Reconstruction of Multiband Signals in the Fractional Fourier Domain

This paper explores nonuniform multiple-input multiple-output (MIMO) sampling and reconstruction of signals with multiple bands in the fractional Fourier domain. We investigate discrete-time fractional Fourier transforms of nonuniformly sampled output signals of MIMO channel and study the resulting fractional spectral aliasing. In order to tackle the problem that the spectral aliasing differs with respect to multiple-output signals, we define combined aliasing boundaries and perform spectrum analysis within the fractional frequency sub-intervals separated by these elaborated boundaries. Moreover, we derive the conditions for combined reconstructing the fractional spectra of the input/output signals of MIMO channel and devise relevant reconstruction methods. Simulation results verify the effectiveness of our proposed methods.