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The properties of the Gabor and Morlet transforms are examined with respect to the Fourier analysis of discretely sampled data. Forward and inverse transform pairs based on a fixed window with uniform sampling of the frequency axis can satisfy ...
Robert W. Johnson
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Relations entre Psi_B et quelques représentations temps-fréquence [PDF]
Psi_B operator is an energy operator that measures the interactions between two complex signals. In this letter, new properties of Psi_B operator are presented.
BOUDRAA, Abdel-Ouahab
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Two Dimensional Short Time Hartley Transforms
The Hartley transform, as in the case of the Fourier transform, is not suitably applicable to non-stationary representations of signals whose statistical properties change as a function of time.
Narasimman Sundararajan +2 more
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Geomagnetically Induced Currents: Frequency Spectra and Threats to Voltage Stability
Geomagnetically induced currents are induced after a complex interaction between the sun and earth’s magnetic field. GICs may cripple power systems leading to voltage collapse and a drop in power quality.
Pitambar Jankee +4 more
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arXiv admin note: substantial text overlap with arXiv:2209 ...
Zhemin Zhang, Xun Gong 0002
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Detection of low signal and determination target locations is the basis and important in the system radar. Performance of radar can enhanced with enhancement signal-to-noise ratio in the receiver.
Raisah Hayati, Rahmadi Kurnia
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Time-frequency analysis is an important tool for seismic signal analysis and time-frequency resolution is the key to high-precision reservoir prediction.
Junjie Liu +4 more
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Harmonic analysis based on time domain mutual-multiplication window
The signal spectral leakage and fence effect are prone to take place during the power harmonic analysis by fast fourier transform (FFT) under asynchronous sampling. The inhibiting ability of classical window functions is restricted by side-lobe behaviors.
Tianyuan Tan +5 more
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Uncertainty principles for the windowed Opdam–Cherednik transform
In this paper, we study a few versions of the uncertainty principle for the windowed Opdam–Cherednik transform. In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks‐type uncertainty principle, Heisenberg‐type uncertainty principle, and local uncertainty inequality for this ...
Shyam Swarup Mondal, Anirudha Poria
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Time-varying Lifting Structures For Single-tree Complexwavelet Transform [PDF]
In this paper, we describe a single-tree complex wavelet transform method using time-varying lifting structures. In the dualtree complex wavelet transform (DT-CWT), two different filterbanks are executed in parallel to analyze a given input signal, which
A. Enis Cetin +3 more
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