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Learning to short-time Fourier transform in spectrum sensing
Physical Communication, 2017The future wireless communication will come up with a strict requirement on high spectral efficiency, developing novel algorithms for spectrum sensing with deep sensing capability will be more challenging. However, traditional expert feature-based spectrum sensing algorithms are lack of sufficient capability of self-learning and adaptability to unknown
Longmei Zhou +2 more
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Principal components analysis of the short-time Fourier transform
[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, 1991The authors introduce a novel time-frequency representation, the principal short-time Fourier transform (PSTFT), as a reduced-data characterization of the nonstationary spectral content of a sequence. To form the PSTFT, the authors apply principal components analysis to STFT frequency slices and retain only the first principal component information ...
Daniel M. Beyerbach, Hamid Nawab
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Time-frequency localization for the short time Fourier transform
Integral Transforms and Special Functions, 2015ABSTRACTWe use some estimating of orthogonal projection in a reproducing kernel Hilbert space, to prove a sharp quantitaive form of Shapiro's mean dispersion theroem with generalized dispersion for the short time Fourier transform. Other forms of localization of orthonormal sequences in L2ℝd) notably the umbrella theorem, are also proved for the short ...
H. Lamouchi, S. Omri
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Optimal short-time fourier transform for monocomponent signals
Proceedings of the IEEE 12th Signal Processing and Communications Applications Conference, 2004., 2004New methods of improving the short-time Fourier transform representation of signals have recently emerged. These methods use linear canonical transforms to bring the signal into a minimal time-bandwidth product form. Here we show that linear canonical transforms are not sufficient to achieve the minimum time-bandwidth product for high-order modulated ...
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Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
Journal of the London Mathematical Society, 2001Whereas \textit{G.~Folland} [``Harmonic analysis in phase space'' (Princeton Univ. Press) (1989; Zbl 0682.43001), p.~31, (1.42), Prop.] and \textit{M.~W. Wong} [``Weyl transforms'' (Springer, New York) (1998; Zbl 0908.44002), p.~10, Prop. 2.3] define a sesquilinear Fourier-Wigner transform by \(V:{\mathcal {S}}(\mathbb R^n)\times{\mathcal {S}} (\mathbb
Gröchenig, Karlheinz, Zimmermann, Georg
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Short time biquaternion quadratic phase Fourier transform
Journal of the Franklin InstitutezbMATH Open Web Interface contents unavailable due to conflicting licenses.
Owais Ahmad, Aijaz Ahmad Dar
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