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Short-time Fourier transform and wavelet transform with Fourier-domain processing
Applied Optics, 1994We discuss the semicontinuous short-time Fourier transform (STFT) and the semicontinual wavelet transform (WT) with Fourier-domain processing, which is suitable for optical implementation. We also systematically analyze the selection of the window functions, especially those based on the biorthogonality and the orthogonality constraints for perfect ...
F T, Yu, G, Lu
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Fourier Transform, Short-Time Fourier Transform, and Wavelet Transform
2018This chapter presents information about the Fourier transform (FT), short-time Fourier transform (STFT), and wavelet transform. This chapter also covers use of this transform in speech signal processing.
Komal R. Borisagar +2 more
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Staggered parallel short-time Fourier transform
Digital Signal Processing, 2019Abstract In this paper, we present the staggered parallel short-time Fourier transform, an algorithm that uses a quasi-parallel procedure to compute exact STFT coefficients of 1D signals. The algorithm leverages parallelism with the capacity of feedforward STFT algorithms to re-use prior computations.
Alfonso B. Labao +2 more
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Uncertainty Principle for the Short-time Special Affine Fourier Transform
Circuits, Systems, and Signal Processing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rui Li, Qingyue Zhang
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Efficient computation of the short-time fast Fourier transform
ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, 2003The short-time fast Fourier transform (STFFT) is an important tool in speech and other time-varying signal processing areas. The STFFT is often required to be performed in real time, which makes it important that computationally efficient methods exist. Traditionally the STFFT has been computed by repeated application of the fast Fourier transform (FFT)
Henrik V. Sorensen, C. Sidney Burrus
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On Phase-Magnitude Relationships in the Short-Time Fourier Transform
IEEE Signal Processing Letters, 2012A complete evaluation of first-order, second-order and mixed derivatives is proposed for both the (log-)magnitude and the phase of a given Short-Time Fourier Transform (STFT), leading to equivalent expressions based on additional STFTs with specific windows. Consequences are drawn in terms of phase-magnitude relationships, resulting in new formulations
Auger, François +2 more
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A study of inverse short-time fourier transform
2008 IEEE International Conference on Acoustics, Speech and Signal Processing, 2008In this paper, we study the inverse short-time Fourier transform (STFT). We propose a new vector formulation of STFT. We derive a family of inverse STFT estimators and a least squares one. We discuss their relationship and compare their performance with respect to both additive and multiplicative modifications to STFT. The influence of window, overlap,
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Short-time Fourier transform analysis of the phonocardiogram signal
ICECS 2000. 7th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.00EX445), 2002In this paper, we present results of the PCG (phonocardiogram) signal analysis using the STFT (Short-Time Fourier Transform). Because of the nonstationarity of the PCG signal, it is important to maintain an analysing time window as short as possible to guaranty the stationarity hypothesis over small analysed segments.
Abdelghani Djebbari +1 more
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Approximation of the short-time Fourier transform
2025 International Conference on Sampling Theory and Applications (SampTA)We give estimates for the approximation error of the continuous short-time Fourier transform (STFT) by the discrete short-time Fourier transform from a finite number of samples of a signal f.
Dörfler, Monika +3 more
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Directional Short-Time Fourier Transform and Quasiasymptotics of Distributions
Functional Analysis and Its Applications, 2019The paper explores an abelian type result defining the relation between quasi-asymptotic boundedness of tempered distributions and the asymptotics of their directional short-time Fourier transform. Also discussed are abelian-Tauberian results under certain assumptions.
Veta Buralieva, Jasmina +2 more
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