The inversion problem concerning the windowed Fourier transform is considered. It is shown that, out of the infinite solutions that the problem admits, the windowed Fourier transform is the “optimal” solution according to a maximum-entropy selection criterion.

i M. Modarres-Hashemi is with the ECE Department of Isfahan University of Technology, Isfahan, Iran (email: [email protected]) ii M. Dorostgan is with the ECE Department of Isfahan University of Technology, Isfahan, Iran ( email:[email protected]) iii Corresponding Author, M. M. Naghsh is with the ECE Department of Isfahan University of Technology, Isfahan, Iran (email: mm_naghsh@...

In this paper we extend analytic signal method to the functions in many dimensions. First it is shown how to obtain separate phase-shifted components and how combine them to obtain signal's envelope, instantaneous frequencies and phases in many dimensions. Second, we show that phase-shifted components may be obtained by positive frequency restriction of the Fourier transform defined in the alge...

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In this paper, we consider the underdetermined convolutive audio source separation (UCASS) problem. In the STFT domain, we consider both source signals and mixing filters as latent random variables, and we propose to estimate each source image, i.e. each individual sourcefilter product, by its posterior mean. Although, this is a quite straightforward application of the Bayesian estimation theor...

| Time-frequency representations (TFRs) are useful tools for examining non-stationary signals, but they are severely degraded by impulsive noise processes, such as those characterized by-stable models. In this paper, we propose two approaches to making TFRs more robust. We deene a robust STFT using myriad lters and show how it can be used to deene a \myriadized" PWD, or MyPWD, which can be tune...

Exponentially damped sinusoids (EDS) model-based analysis of sound signals often requires a precise estimation of initial amplitudes and phases of the components found in the sound, on top of a good estimation of their frequencies and damping. This can be of the utmost importance in many applications such as high-quality re-synthesis or identification of structural properties of sound generator...

AbstructWe consider a multidimensional parameter space formed by inner products of a parameterizable family of chirp functions with a signal under analysis. We propose the use of quadratic chirp functions (which we will call q-chirps for short), giving irise to a parameter space that includes both the time-frequency plane and the time-scale plane as 2-D subspaces. The parameter space contains a...

Abstract-This paper presents the various methods for the spectral analysis of signals for the stationary as well as non-stationary signals. Due to non-stationary characteristics of the signals, it has been always a challenge to achieve time frequency distribution of such signals. Between the various techniques of signal analysis, this paper uses Fourier transform, Short time Fourier transform, ...

Uncertainty principles for functions defined on finite Abelian groups generally relate the cardinality of a function to the cardinality of its Fourier transform. We examine how the cardinality of a function is related to the cardinality of its short–time Fourier transform. We illustrate that for some cyclic groups of small order, both, the Fourier and the short–time Fourier case, show a remarka...