We examine the power spectrum of clusters in the Press-Schechter (PS) theory and in N-body simulations to see how the power spectrum of clusters is related to the power spectrum of matter density fluctuations in the Universe. An analytic model for the power spectrum of clusters for their given number density is presented, both for real space and redshift space. We test this model against result...

In several applications, such as wideband spectrum sensing for cognitive radio, only the power spectrum (a.k.a. the power spectral density) is of interest and there is no need to recover the original signal itself. In addition, high-rate analogto-digital converters (ADCs) are too power hungry for direct wideband spectrum sensing. These two facts have motivated us to investigate compressive wide...

We constrain the spectrum of primordial curvature perturbations P(k) by using the new data on the Cosmic Microwave Background (CMB) from the Boomerang and MAXIMA experiments. Our study is based on slow-roll inflationary models, and we consider the possibility of a running spectral index. Specifically, we expand the power spectrum P(k) to second order in ln k, thus allowing the power spectrum to...

In several applications, such as wideband spectrum sensing for cognitive radio, only the power spectrum (a.k.a. the power spectral density) is of interest and there is no need to recover the original signal itself. In addition, high-rate analogto-digital converters (ADCs) are too power hungry for direct wideband spectrum sensing. These two facts have motivated us to investigate compressive wide...

In the modulation-filtering based speech enhancement method, noise suppression is achieved by bandpass filtering the temporal trajectories of the power spectrum. In the literature, some authors use the power spectrum directly for modulation filtering, while others use different compression functions for reducing the dynamic range of the power spectrum prior to its modulation filtering. This pap...

In this paper we present a detailed simulation method to estimate the accuracy of Doppler power spectrum and mean blood velocity, using real CW Doppler transducers with twin-crystal arrangement. The method is based on dividing the sample volume into small cells using the statistics of the total power of Doppler spectrum with the same Doppler shift frequency, and from total power, which predicts...

It is generally predicted that there exists non-vanishing power spectrum for the wavenumbers outside the Hubble radius in the inflationary scenario. The power spectrums differ dramatically for these wavenumbers in different gauges, so we must adopt a proper power spectrum to calculate the predictions of the cosmological model. In this paper I try to show that the power spectrum defined in the S...

Introduction Many features, emerging from mathematical techniques, have been used in the analysis of brain signals. In this study, the physical quantity of “moment of inertia” (MOI) was introduced as a feature to enhance high-frequency waves (HFWs) in electroencephalography (EEG). Materials and Methods In this research, the recorded EEGs from F3, F4, and Cz points in 20 males were used. A total...