Scaling laws are derived for the calculation of clutter leakage in sensors which display mixed jitter and drift relative to a background characterized by a two-dimensional power spectral density which can be approximated by an inverse power law. These scaling laws are applied in the construction of a series of nomographs permitting rapid estimation of clutter leakage for arbitrary detector footprints, drift rates, jitter statistics and integration times, for nth order frame differencing with various PSD power laws. Application of the nomographs to staring sensors with temporal n-th order difference filters is explained, and limited application to spatially-filtered staring sensors and scanning sensors is discussed. The extension of the nomograph set to cover other PSD slopes and viewing angles is discussed. The paper then concludes with a general discussion of relative accuracies and utilities of PSD-based clutter leakage estimation versus simulation methods.
Jerry L. Rapier,
"Invited Paper Scaling Methods For Rapid Estimation Of Background Clutter Leakage", Proc. SPIE 0819, Infrared Technology XIII, (10 November 1987); doi: 10.1117/12.941796; https://doi.org/10.1117/12.941796