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A relationship between the z-transform and the Fourier transform

B. Seo, C.-T. Chen

Abstract

A relationship between the one-sided z-transform and the one-sided discrete-time Fourier transform is discussed. Every discrete-time function that can result from the sampling of a periodic continuous-time function is considered to be periodic. A simple general equation is presented and discussed.>

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Available abstract

Key concepts: Discrete Fourier transform (general), Fourier transform, Function (biology), Non-uniform discrete Fourier transform, Discrete Hartley transform, Fractional Fourier transform, Sampling (signal processing), Hartley transform