An asymptotic analysis is carried out for an approximate method of estimating the parameters of the power spectrum of a zero-mean stationary Gaussian random process from an observed realization of limited duration. Maximum likelihood estimates are obtained with the approximation that the coefficients of the Fourier series expansion of the realization are uncorrelated. This is equivalent to othe...

It is well known that the performance of speech recognition algorithms degrade in the presence of adverse environments where a speaker is under stress, emotion, or Lombard effect. This study evaluates the effectiveness of traditional features in recognition of speech under stress and formulates new features which are shown to improve stressed speech recognition. The focus is on formulating robu...

The appearance of peaks in various primordial fluctuation Fourier power spectra is a generic prediction of the inflationary scenario. We investigate whether future experiments, in particular the satellite experiment PLANCK, will be able to detect the possible appearance of these peaks in the B-mode polarization multipole power spectrum. This would yield a conclusive proof of the presence of a p...

Precision measurements of the galaxy power spectrum P (k) require a data analysis pipeline that is both fast enough to be computationally feasible and accurate enough to take full advantage of high-quality data. We present a rigorous discussion of different methods of power spectrum estimation, with emphasis on the traditional Fourier method, and linear (Karhunen-Loève; KL), and quadratic data ...

Phase Spectrum for Imaging Information Analysis This paper is aimed at developing phase spectrum methods and technology to analyze information for recognition static and dynamic images produced by serially organized data. These include voice, sound, serial business data, etc. Phase Spectrum Background Spectrum analysis plays a central role in the area of voice recognition and similar applicatio...

This paper investigated the use of instantaneous frequency (IF) instead of power amplitude and power spectrum in side-channel analysis. By opposition to the constant frequency used in Fourier Transform, instantaneous frequency reflects local phase differences and allows detecting frequency variations. These variations reflect the processed binary data and are hence cryptanalytically useful. IF ...

For a unital foundation topological *-semigroup S whose representations separate points of S, we show that the spectrum of the Fourier-Stieltjes algebra B(S) is a compact semitopological semigroup. We also calculate B(S) for several examples of S.

As the original definition on Hilbert spectrum was given in terms of total energy and amplitude, there is a mismatch between the Hilbert spectrum and the traditional Fourier spectrum, which is defined in terms of energy density. Rigorous definitions of Hilbert energy and amplitude spectra are given in terms of energy and amplitude density in the time-frequency space. Unlike Fourier spectral ana...

We present a simple analysis showing that channel normalization techniques are less eeective when applied to spectral energies obtained by (weighted) summation of components of the short-time Fourier power spectrum of speech. We show that applying channel normalization processing prior to critical band integration or linear predictive all-pole modeling improves the eeectiveness of the techniques.

The light curves from a variety of celestial objects display aperiodic variations, often giving rise to red–noise components in their power spectra. Searching for a narrow power spectrum peak resulting from a periodic modulation over the frequency range in which these “coloured” noise components are dominant has proven a very complex task. Commonly used methods rely upon spectral smoothing or i...