Spectral reconstruction from nonuniformly sampled signals in the fractional Fourier domain

This paper investigates the problem of signal reconstruction from nonuniformly sampled signals in the fractional Fourier domain. Firstly, the spectral representations of periodic nonuniformly sampled signal in the fractional Fourier domain and the relationship between the spectral and the nonuniform spectral have been deduced. A spectral reconstruction algorithm is proposed based on the derived relationship. Secondly, the signal reconstruction formula from general nonunfiorm samples in the fractional Fourier domain has been proposed. Lastly, the simulation results are obtained for the periodic nonuniform sampling model.