Analysis of signal-to-noise ratio of polynomial correlation filters

In this paper we present a variation of the polynomial correlation filter (PCF) called constrained correlation polynomial filter (CPCF). We investigate the performance of this filter in the presence of noise. The peak-to-sidelobe ratio measure and the public MSTAR images database are used for evaluation. 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.