AbstructThis paper presents two classes of adaptive blind algorithms based on secondand higher order statistics. The first class contains fast recursive algorithms whose cost functions involve second and thirdor fourth-order cumulants. These algorithms are stochastic gradient-based but have structures similar to the fast transversal filters (FTF) algorithms. The second class is composed of two ...

Most studies of texture processing are based on textures in which individual pixel statistics are varied and spatial correlations are absent ("IID textures"), or textures in which spatial correlation structure is varied and luminance, or first-order, statistics are held constant. Here we jointly examine simple pixel statistics and fourth-order spatial correlation structure along the continuum o...

We present a novel method for solving blind deconvolution, i.e., the task of recovering a sharp image given a blurry one. We focus on blurry images obtained from a coded aperture camera, where both the camera and the scene are static, and allow blur to vary across the image domain. As most methods for blind deconvolution, we solve the problem in two steps: First, we estimate the coded blur scal...

The stochastic component of a chemical sensor signal contains valuable information that can be visualized not only by spectral analysis but also by methods of higher-order statistics (HOS). The analysis of HOS enables the extraction of non-conventional features and may lead to significant improvements in selectivity and sensitivity. We pay particular attention to the bispectrum that characteriz...

Texture boundary segmentation is conventionally thought to be mediated by global differences in Fourier energy, i.e., low-order texture statistics. Here, we have examined the importance of higher order statistical structure of textures in a simple second-order segmentation task. We measured modulation depth thresholds for contrast boundaries imposed on texture samples extracted from natural sce...

A hybrid denoising method is presented as a combination of Empirical Mode Decomposition (EMD) and Higher Order Statistics (HOS). EMD, an adaptive data-driven method, is used for effective decomposition of a noisy signal into its functional components. Then Kurtosis and Bispectrum operate as Gaussianity estimators, supplemented by Bootstrap techniques, ensuring detection and removal of the signa...

A cell classification algorithm that uses first, second and third order statistics of pixel intensity distributions over predefined regions is implemented and evaluated. A cell image is segmented into 6 regions extending from a boundary layer to an inner circle. First, second and third order statistical features are extracted from histograms of pixel intensities in these regions. Third order st...

We consider the use of 2nd-and 4th-order cumulants for estimating the direction-of-arrival (DOAs) in narrow band array processing. The Fisher information about the DOAs contained in several cumulant statistics is computed. Numerical evaluation of the related Cram er-Rao bound is then used to point out, in this limited study, some advantages and drawbacks of using higher-order statistics.