We investigate common pitfalls in the spectral analysis of point sets based on amplitude/power spectrum and radial statistics. We demonstrate the sensitivity of these measurements to the type of Fourier transform and formulate recommendations for crucial analysis and formatting parameters. Following these guidelines elevates comparability between different point generation methods with respect ...

In this paper, a novel blind separation approach using power spectral density(PSD) is presented. The power spectrum itself is the Fourier transform of the auto-correlation function. Auto-correlation function represents the relationship of long and short-term correlation within the signal itself. This paper using power spectral density and cross power spectral density separate blind mixed source...

A novel application and generalization of sigma–delta ( ) modulation has emerged in three-phase power-electronic converters. A conventional modulator with scalar signals and binary quantizer is generalized to a modulator with vector signals and a hexagonal quantizer. Indeed, power-electronic switching states may be thought of as determining the quantizer outputs. The output spectrum is a key pe...

Abstract: In this paper the traditional spectral-representation-method for simulating stochastic processes is revisited. A modification aimed to control the variability of the simulated samples of the random process is proposed. Specifically, in order to avoid that the simulated samples possess similar Fourier spectrum, it is proposed to randomize the power spectral density function through a p...

In this paper, we propose a new signal processing technique, “specmurt anasylis,” that provides piano-rolllike visual display of multi-tone signals (e.g., polyphonic music). Specmurt is defined as inverse Fourier transform of linear spectrum with logarithmic frequency, unlike familiar cepstrum defined as inverse Fourier transform of logarithmic spectrum with linear frequency. We apply this tech...

In this paper, we propose a new signal processing technique, “specmurt anasylis,” that provides piano-rolllike visual display of multi-tone signals (e.g., polyphonic music). Specmurt is defined as inverse Fourier transform of linear spectrum with logarithmic frequency, unlike familiar cepstrum defined as inverse Fourier transform of logarithmic spectrum with linear frequency. We apply to music ...

We study the impact of the recently introduced underspread/overspread classiication on the spectra of processes with square{integrable covariance functions. We brieey review the most prominent deenitions of a time{varying power spectrum and point out their limited applicability for general nonstationary processes. The time{frequency{ parametrized approximation of the nonstationary Wiener lter p...

Speckle interferometry (Labeyrie, 1970) is a well-tested and still used method for detecting and measuring binary stars that are closer together than the width of the atmospheric seeing disk. In this method, an average spatial power spectrum is computed from a series of short-exposure images. The power spectrum exhibits clearly defined cosine fringes, while the autocorrelation function (its Fou...

Fluctuations in the 21cm brightness from cosmic hydrogen at redshifts z & 6 were sourced by the primordial density perturbations from inflation as well as by the radiation from galaxies. We propose a method to separate these components based on the angular dependence of the 21cm fluctuation power spectrum. Peculiar velocities increase the power spectrum by a factor of ∼ 2 compared to density fl...