A sampling theorem associated with quasi-Fourier transform

Abstract

We propose, in this correspondence, a unified generalized bandlimited sampling theorem associated with quasi-Fourier transform of the form (F/sub /spl phi//f)(/spl xi/)=/spl int//sub D/f(x) exp(-i/spl epsiv//spl phi/(x)) dx, where the phase function satisfies /spl phi/'(x)>0 in its domain. Our result contains classical Shannon's 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.