10 June 2013 Dealing with circular correlation effects
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Discrete Fourier transforms (DFTs) are typically used to compute correlations and implementing correlation filters (CFs). Because of the properties of DFTs, resulting correlations are actually circular (also known as periodic) correlations. Using current CF design techniques, it is not possible to design a CF that produces exactly the desired linear correlation output. There are several techniques that may be used to reduce the effects of circular correlation. In this paper, we describe these techniques and provide some experimental results that compare these techniques.

This work is sponsored by the Air Force Research Laboratory (AFRL). The views and conclusions contained in this document are those of the authors and should not be interpreted as representing offcial policies, either expressed or implied, of AFRL, or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein. This document is approved for public released via PA#: 88ABW-2013-1359.
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Andres Rodriguez, Andres Rodriguez, B. V. K. Vijaya Kumar, B. V. K. Vijaya Kumar, "Dealing with circular correlation effects", Proc. SPIE 8744, Automatic Target Recognition XXIII, 87440N (10 June 2013); doi: 10.1117/12.2015406; https://doi.org/10.1117/12.2015406

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