In this paper we investigate how the short-time Fourier transform can be extended in a Clifford setting. We prove some of main properties such as orthogonality relation, reconstruction property and reproducing kernel formula. Moreover, show effects modulating translating signal window function, respectively. Finally, demonstrate Lieb’s uncertainty principle for transform.

During the last two decades, Maximum Likelihood estimation (ML) has been used to determine Direction Of Arrival (DOA) and signals propagated by the sources, using narrowband array signals. The algorithm fails in the case of wideband signals. As an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time Fourier tran...

In this paper we solve an open problem concerning the characterization of those measurable sets $\Omega\subset \mathbb{R}^{2d}$ that, among all having a prescribed Lebesgue measure, can trap largest possible energy fraction in time-frequency space, where density generic function $f\in L^2(\mathbb{R}^d)$ is defined terms its Short-time Fourier transform (STFT) $\mathcal{V} f(x,\omega)$, with Gau...

during the last two decades, maximum likelihood estimation (ml) has been used to determine direction of arrival (doa) and signals propagated by the sources, using narrowband array signals. the algorithm fails in the case of wideband signals. as an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time fourier tran...

During the last two decades, Maximum Likelihood estimation (ML) has been used to determine Direction Of Arrival (DOA) and signals propagated by the sources, using narrowband array signals. The algorithm fails in the case of wideband signals. As an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time Fourier tran...

spectral decomposition is a powerful tool for analysis of seismic data. fourier transform determines the frequency contents of a signal. but for analysis of non-stationary signals, 1-d transform to frequency domain is not sufficient. in early years, transforming of seismic traces into time and frequency domain was done via windowed fourier transform, called a short time fourier transform (stft)...

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...