Optimal detection of 2D fractal object based on model of fractal Brownian surface

Abstract

Article deals with synthesis and analysis of detector of fractal 2D signal in the presence of non-correlated Gaussian noise. Model of signal is 2D fractal Brownian motion (FBM), which describes many types of signal. Expressions for likelihood ratio given based on FBM models in spatial and spectral fields. This expressions are a sufficient statistics for many problems of signal processing. Detection performances of FBM signal are calculated by statistical simulating. Investigation results can be distributed on multicomponent FBM signal processing and FBM signal processing at the background of FBM interference.