Randomized nonuniform sampling and reconstruction in fractional Fourier domain
The randomized nonuniform sampling is equivalent to the uniform sampling after a pre-filter. The randomized sinc interpolation reconstruction in the FRFD is proposed. The MSE of the reconstruction is analyzed by the equivalent system in the sense of statistics. The randomized reconstruction of the chirp period stationary signal is represented by a finite summation. Special cases of the randomized sampling and reconstruction are discussed.
nonuniform sampling fractional fourier transform fractional power spectrum fractional correlation