A sampling theorem associated with quasi-Fourier transform

We propose, in this correspondence, a unified generalized bandlimited sampling theorem associated with quasi-Fourier transform of the form (Fφf)(ξ)=∫Df(x) exp(-iεφ(x)) dx, where the phase function satisfies φʹ(x)>0 in its domain. Our result contains classical Shannonʹs sampling theorem and the Sundaram et al. (1997) scale-limited sampling theorem as a special case. New results such as the chirp-limited sampling theorem can be established