Recently, there have been numerous analyses of the redshift space power spectrum of rich clusters of galaxies. Some of these analyses indicate a “bump” in the Abell/ACO cluster power spectrum around k = 0.05hMpc. Such a feature in the power spectrum excludes most standard formation models and indicates possible periodicity in the distribution of large-scale structure. However, the data used in ...

of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy THE RATIO SPECTRUM: THEORY, APPLICATIONS AND ANALOG IMPLEMENTATION By Liping Deng May 2002 Chairman: Dr. John G. Harris Major Department: Electrical and Computer Engineering The power spectrum is fundamental to signal analysis and unders...

Nonlinear evolution causes the galaxy power spectrum to become broadly correlated over different wavenumbers. It is shown that prewhitening the power spectrum – transforming the power spectrum in such a way that the noise covariance becomes proportional to the unit matrix – greatly narrows the covariance of power. The eigenfunctions of the covariance of the prewhitened nonlinear power spectrum ...

The Fourier transform of a dataset apodised with a window function is known as the Gabor transform. In this paper we extend the Gabor transform formalism to the sphere with the intention of applying it to CMB data analysis. The Gabor coefficients on the sphere known as the pseudo power spectrum is studied for windows of different size. By assuming that the pseudo power spectrum coefficients are...

Abstract In this work we explore the possibility of variations in primordial scalar power spectrum around power-law shape, as predicted by single-field slow-roll inflationary scenarios. We search for a trace these fluctuations semiblind, model-independent way observations cosmic microwave background (CMB) sky. particular, use two sets perturbation patterns, specific patterns with typical featur...