Correlating Fourier phase information with real-space higher order statistics in CMB data

Higher order Fourier analysis

Robust Higher Order Statistics

Sample estimates of moments and cumulants are known to be unstable in the presence of outliers. This problem is especially severe for higher order statistics, like kurtosis, which are used in algorithms for independent components analysis and projection pursuit. In this paper we propose robust generalizations of moments and cumulants that are more insensitive to outliers but at the same time re...

Higher Order Statistics for Identification of Minimum Phase Channels

This paper describes a blind algorithm, which is compared with two another algorithms proposed in the literature, for estimating of the minimum phase channel parameters. In order to identify blindly the impulse response of these channels, we have used Higher Order Statistics (HOS) to build our algorithm. The simulation results in noisy environment, demonstrate that the proposed method could est...

Compressive Higher Order Cyclostationary Statistics

The application of nonlinear transformations to a linearly modulated communication signal for the purpose of revealing hidden periodicities has proven to be useful for automatic modulation recognition (AMR). The fact that the hidden periodicities, referred to as Higher Order Cyclostationary Statistics (HOCS), are compressible in the Fourier domain motivates the use of compressive sensing (CS) a...

Higher Order Moments and Recurrence Relations of Order Statistics from the Exponentiated Gamma Distribution

Order statistics arising from exponentiated gamma (EG) distribution are considered. Closed from expressions for the single and double moments of order statistics are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic for different choices of r, n and /theta are presented. Recurrence relations between single and double moments of r...