Time-domain characterization of multiwindow Gabor systems on discrete periodic sets

Lian, Qiao-Fang; Gong, Jing; You, Mingli

doi:10.1007/s13226-013-0003-1

Cited by 7 publications

(1 citation statement)

References 16 publications

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“…To improve the time-frequency resolution of the traditional DGT, the M-DGT based on biorthogonal analysis approach has been studied in [22][23][24][25] with applications in evolutionary spectral analysis. The multiwindow discrete Gabor expansion (M-DGE) in [26][27][28][29] using the frame theory has also been applied to signal processing [30], image processing [31], macromolecular sequence processing [32], and so on. Furthermore, the multiwindow real-valued discrete Gabor transform and its fast algorithms have been proposed in [33,34] by using biorthogonal analysis approach.…”

Section: Introductionmentioning

confidence: 99%

Multiwindow discrete Gabor transform using parallel lattice structures

Tao

Kwan³

2020

IET signal process.

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The multiwindow discrete Gabor transform (M-DGT) is an effective time-frequency analysis tool to analyse timevarying signals containing components with multiple frequencies. In this study, fast block time-recursive methods for computing the M-DGT coefficients of a signal and the reconstruction of the signal from the transform coefficients are presented with steps as listed, respectively, in Algorithms 1 and 2, and their implementations using unified parallel lattice structures are also given. The proposed algorithms consisting of Algorithms 1 and 2 for respective forward and inverse transforms are compared to (i) those of the existing serial algorithms in terms of computational complexity and time; and (ii) those of the existing parallel algorithms in terms of hardware complexity. The results indicate that the proposed algorithm is fast in computing M-DGT coefficients of a signal and reconstructing the signal with a reduced hardware complexity. 2 Review of M-DGT Let x(k) represent a periodic and discrete-time signal of a periodic length L, the discrete Gabor expansion with multiple windows (M-DGE) [27, 33] is given by

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