Performances of Marcum's (S+N)-N Integration Scheme with Fluctuating Targets

The performances of Marcum's (signal + noise) - noise ((S+N)-N) integration scheme are analyzed for SW1 and SW2 fluctuating targets. This lesser known integration concept was not treated by Swerling when he extended Marcum's main signal + noise integration to four cases of fluctuating targets. We present closed-form probability density (pdfs) functions confirmed and extended by simulations. We show typical signal-to-noise ratio (SNR) loss of 1 dB for both SW1 and SW2, agreeing with Marcum's result for SW0. (S+N)-N integration is inherent in our work on noncoherent pulse compression, hence the renewed interest.