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Manipulation of short time Fourier transforms

, 1991
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Short-Time Fractional Fourier Transform and Its Applications

IEEE Transactions on Signal Processing, 2010
The fractional Fourier transform (FRFT) is a potent tool to analyze the chirp signal. However, it fails in locating the fractional Fourier domain (FRFD)-frequency contents which is required in some applications. The short-time fractional Fourier transform (STFRFT) is proposed to solve this problem.
Ran Tao
exaly   +2 more sources

Shift-invariance of short-time Fourier transform in fractional Fourier domains

Journal of the Franklin Institute, 2009
Let \(T\) be a linear time-frequency distribution with kernel \(K\) acting on a function \(x(t)\) evaluated at a time \(t\) and frequency \(f\) as follows \[ T(x) (t,f) = \int K(t, f, \tau) \, x(\tau)\, d\tau. \] For example, the short-time Fourier transform with window \(w\) is defined as \[ \text{{STFT}} (x) (t,f) = \int x(\tau) \overline{w}(t-\tau) \
exaly   +4 more sources

Sliding Short-Time Fractional Fourier Transform

IEEE Signal Processing Letters, 2022
Gaowa Huang
exaly   +3 more sources

Time-Stretched Short-Time Fourier Transform

IEEE Transactions on Instrumentation and Measurement, 2004
The authors propose and demonstrate the time-stretched short-time Fourier transform (TS-STFT) technique to overcome the limitation of an analog-digital converter (ADC) in the time-frequency analysis of ultrafast signals. Experimentally, the time-frequency analysis of highly chirped RF signals, with a chirp rate as high as 350 GHz/ns, is demonstrated ...
Abul Nuruzzaman, Ozdal Boyraz, Bahram Jalali   +2 more
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Synchrosqueezing-Based Short-Time Fractional Fourier Transform

IEEE Transactions on Signal Processing, 2023
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Zhichun Zhao, Gang Li 0008
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Short-time Fourier transform and wavelet transform with Fourier-domain processing

Applied Optics, 1994
We 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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