2013•RePEc: Research Papers in EconomicsRequires access

Circular Convolution And Fourier Discrete Transformation

Mircea I. Cîrnu

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Abstract

We present the discrete circular convolution and its algorithms of calculus. Using discrete Fourier transform can be determined the circular deconvolution, ie the circular convolution inverse. We exemplify these concepts by solving an equation of circular convolution. This type of convolution product is applies to the periodic phenomena, discretely analyzed. By this paper we continue the series of articles about the types of discrete convolution products and their applications, some of which being cited in the References.

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What this paper is about

We present the discrete circular convolution and its algorithms of calculus. Using discrete Fourier transform can be determined the circular deconvolution, ie the circular convolution inverse. We exemplify these concepts by solving an equation of circular convolution. This type of convolution product is applies to the periodic phenomena, discretely analyzed. By this paper we continue the series of articles about the types of discrete convolution products and their applications, some of which being cited in the References.

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Available abstract

We present the discrete circular convolution and its algorithms of calculus. Using discrete Fourier transform can be determined the circular deconvolution, ie the circular convolution inverse. We exemplify these concepts by solving an equation of circular convolution. This type of convolution product is applies to the periodic phenomena, discretely analyzed. By this paper we continue the series of articles about the types of discrete convolution products and their applications, some of which being cited in the References.

Key concepts: Convolution (computer science), Circular convolution, Discrete-time Fourier transform, Overlap–add method, Convolution theorem, Deconvolution, Discrete Fourier transform (general), Fourier transform

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