Circulant embedding is a technique that has been used to generate realizations from certain real-valued Gaussian stationary processes. This technique has two potential advantages over competing methods for simulating time series. First, the statistical properties of the generating procedure are exactly the same as those of the target stationary process. Second, the technique is based upon the d...

In this paper, we present an algorithm to estimate a signal from its modified short-time Fourier transform (STFT). This algorithm is computationally simple and is obtained by minimizing the mean squared error between the STFT of the estimated signal and the modified STFT. Using this algorithm, we also develop an iterative algorithm to estimate a signal from its modified STFT magnitude. The iter...

The paper presents a fast algorithm for the calculation of a multiresolution discrete Fourier transform. The presented approach is based on the realization of the Fast Fourier Transform for each frequency resolution level. This algorithm allows reducing the number of complex multiplications and additions compared to the method consisting in the multiplication between the input signal expressed ...

Traditional Fast Fourier Transform algorithm makes the implementation of the multicarrier system feasible and attractive with respect to single-carrier systems. However, when the channel is doubly selective (i.e. time-frequencyselective), this traditional methodology fails. Since the channel frequency response is rapidly time-varying as a result the optimal transmission/reception methodology no...

In this paper, we propose a new residual analysis method using Fourier series transform into fuzzy time series model for improving the forecasting performance. This hybrid model takes advantage of the high predictable power of fuzzy time series model and Fourier series transform to fit the estimated residuals into frequency spectra, select the low-frequency terms, filter out high-frequency term...

in this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the fourier transform. as a consequence, we extend the fundamental theorems of abelian fourier transform to non-abelian case.

Abslrnrf This paper aim to consider using the Wavelel Transform ( WT), WignerVille Distribution ( W O ) and ChoiWilliams Distribution (CWD) applied for spectrum estimution of non-stationary signals in power sysfems. The main goal is lo emphasize advantage and disadvantage of mentioned methods in comparison with Shun-Tinu Fourier Transform (STFT). Especial& the aspect offrequency resolution are ...

We derive two new algorithms for reconstructing a discretetime 1-D signal from the phase of its discrete-time Fourier transform (DTFT) at irregular frequencies. Previous algorithms for this problem have either required the computation of a matrix nullspace, requiring O(N) computations, or have been iterative in nature; for the latter, the irregularity of the frequency samples precludes use of t...

Abstract - Use of efficient signal processing tools (SPTs) to extract proper indices for fault detection in induction motors (IMs) is the essential part of any fault recognition procedure. The Part1 of the two parts paper focuses on Fourier-based techniques including fast Fourier transform and short time Fourier transform. In this paper, all utilized SPTs which have been employed for fault fete...