Results 251 to 260 of about 1,047,980 (279)

Approximation of the Fourier Transform and the Dual Gabor Window

Journal of Fourier Analysis and Applications, 2005
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Optimum binary windows for discrete Fourier transform

ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
This paper presents a set of windows, called binary windows, for frequency domain windowing of discrete Fourier transforms. The new windows suggested do not require multiplications or stored constants. A number of windows are suggested whose main-lobe widths fall between Hamming[1] and the windows suggested by Harris[2] and Nuttall [3], while having ...
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Composite Interpolated Fast Fourier Transform With the Hanning Window

IEEE Transactions on Instrumentation and Measurement, 2010
The composite interpolated fast Fourier transform (IpFFT) with the Hanning window is investigated to decrease the estimation variance. This form of composite IpFFT makes use of four consecutive spectral lines around a spectral peak. These four consecutive lines render three estimators using the complex spectrum-based interpolation. The three estimators
Kui Fu Chen, Shu Li Mei
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The Balian-Low Theorem for the Windowed Quaternionic Fourier Transform

Advances in Applied Clifford Algebras, 2012
Following \textit{M. Shapiro} and \textit{L. M. Tovar} in [Contemp. Math. 212, 229-244; (1998; Zbl 0907.30047)] the authors define the right multiplicative operator \(\mathcal C[\lambda, \cdot]\). The kernel of the windowed quaternionic Fourier transform (WQFT) is then expressed as \(g_{\omega,\mathbf b}:= e^{2\pi\mathbf j\omega_2x_2}g(\mathbf x ...
Fu, Yingxiong, Kähler, Uwe, Cerejeiras, Paula   +2 more
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The Bargmann Transform and Windowed Fourier Localization

Integral Equations and Operator Theory, 2006
We consider the relationship between Gabor-Daubechies windowed Fourier localization operators $$ L^{w}_{\varphi } $$ and Berezin-Toeplitz operators T φ, using the Bargmann isometry β.
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The Windowed Fourier Transforms

2022
Firdous A. Shah, Azhar Y. Tantary
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Windowed Fourier transform for fringe pattern analysis: addendum

Applied Optics, 2004
Novel approaches based on windowed Fourier transform for demodulation of fringe patterns were previously presented [Appl. Opt. 43, 2695-2702 (2004)], where extraction of phase and phase derivatives from either phase-shifted fringe patterns or a single-carrier fringe pattern was the main focus.
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The Sliding Window Discrete Fourier Transform

2019
The discrete Fourier transform (DFT) is a widely used tool across science and engineering. Nevertheless, the DFT assumes that the frequency characteristics of a signal remain constant over time, and is unable to detect local changes. Researchers beginning with Gabor (1946) addressed this shortcoming by inventing methods to obtain time-frequency ...
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Inversion formula for the windowed special affine Fourier transform

International Journal of Wavelets, Multiresolution and Information Processing
The Windowed Special Affine Fourier Transform (WSAFT) extends classical windowed Fourier transforms through a parameter matrix, enabling precise signal adaptation and superior time-frequency localization for non-stationary signals. Unlike the special affine Fourier transform with its global kernel, WSAFT captures local frequency components that ...
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Uniqueness guarantees for phase retrieval from discrete windowed special affine Fourier transform

Optik, 2021
Rui Li
exaly