2002•Unpublished venueRequires access

A sampling theorem without band-limiting constraints

Guo Tiande, Gao Ziyou

Abstract

The Shannon (1948) sampling theorem is suitable for processing signals with good mathematical properties, but it is restricted to "band-limited" signals and the sampling function (sinc function) decreases slowly. A sampling theorem for arbitrary continuous signal is established in this paper. It is based on the concept of multiresolution sampling (MRS).

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Available abstract

Key concepts: Sinc function, Nyquist–Shannon sampling theorem, Sampling (signal processing), Nonuniform sampling, Limiting, Function (biology), SIGNAL (programming language), Coherent sampling