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Multiplicity of the Definition of Fractional Fourier Transforms and Analysis on Their Optical Implementation

Jialin Cao

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Abstract

The fractional Fourier transform (FRFT),which is a version of generalized common Fourier transform,reveals the features of signal from time and frequency simultaneously.In this paper,multiplicity of the definition of FRFT and analysis on the principles and configurations of optical implementation system corresponding the definition of FRFT were analyzed.This work suggests the effect of optical implementation of FRFT.

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What this paper is about

The fractional Fourier transform (FRFT),which is a version of generalized common Fourier transform,reveals the features of signal from time and frequency simultaneously.In this paper,multiplicity of the definition of FRFT and analysis on the principles and configurations of optical implementation system corresponding the definition of FRFT were analyzed.This work suggests the effect of optical implementation of FRFT.

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Available abstract

The fractional Fourier transform (FRFT),which is a version of generalized common Fourier transform,reveals the features of signal from time and frequency simultaneously.In this paper,multiplicity of the definition of FRFT and analysis on the principles and configurations of optical implementation system corresponding the definition of FRFT were analyzed.This work suggests the effect of optical implementation of FRFT.

Key concepts: Fractional Fourier transform, Multiplicity (mathematics), Fourier transform, Computer science, Fourier analysis, Short-time Fourier transform, Algorithm, Mathematical analysis

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