Energy Projection in Polynomial Correlation Filters

In this paper we present a new version of the polynomial correlation filter (PCF) called constrained polynomial correlation filter (CPCF). We investigate the performance of this filter in the presence of clutter noise. The peak-to-sidelobe ratio measure is evaluated for public MSTAR images. The effect of different terms in the polynomial filter is examined by simulation. Then, we introduce a theoretical framework called energy projection to predict the effectiveness of different terms in the CPCF. Keywords: Polynomial filter, correlation filter, CPCF, nonlinear filter, MSTA