Relationships between convolution and correlation for fourier transform and quaternion fourier transform

Abstract

In this paper we introduce convolution theorem for the Fourier transform (FT) of 
\ntwo complex functions. We show that the correlation theorem for the FT can be 
\nderived using properties of convolution. We develop this idea to derive the 
\ncorrelation theorem for the quaternion Fourier transform (QFT) of the two 
\nquaternion functions.

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