Reconstruction error estimation of bandlimited random signals in the special affine Fourier transform domain

Special affine Fourier transforms have additional degrees of freedom and are more flexible, and have proven to be a powerful analytical tool in the fields of signal processing, optics, and communications. For the estimation of reconstruction errors, although the uniform sampling theorem for band-limited random signals in the special affine Fourier transform domain has been established, no estimation of reconstruction errors has been found so far. Because there are various errors in the reconstruction, which may affect the accuracy of the reconstruction, and all the reconstruction formulas are ideal, it is very important to study the application of error estimation in the sampling theorem , Based on this, this paper mainly studies two kinds of error estimators in uniform sampling and reconstruction of bandlimited random signals in special affine Fourier transform domain, namely, aliasing error estimator and truncation error estimator. Firstly, the basic knowledge of special affine Fourier transform and uniform sampling model are briefly introduced. Then, two kinds of error estimates are derived.