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سند علمی

An iterative algorithm for time-variant filtering in the discrete Gabor transform domain

Xiang-Gen Xia, Shie Qian

چکیده

In this paper, an iterative time-frequency (TF) synthesis/time-varying ltering algorithm in the discrete Gabor transform domain is proposed. A su cient condition is obtained for the Gabor synthesis and analysis window functions so that the iterative algorithm converges. It is proved that under the condition the algorithm converges to a signal that has its Gabor transform located exactly in a desired domain speci ed by the user in the TF plane. Under the condition the solution from the rst iteration is exactly the least square solution. Our numerical examples show: about 3.5 dB or more SNR gain over the least square solution; about 13dB SNR increase over the SNR without ltering; lower computational complexity.

اسناد مشابه

  • Convergence of an iterative time-variant filtering based on discrete Gabor transform

    سند علمی۱۹۹۹IEEE Trans. Signal ProcessingXiang-Gen Xia, Shie Qian

    An iterative time-variant filtering based on the discrete Gabor transform (DGT) has been recently proposed by the authors. In this correspondence, we present a proof of the convergence of the iterative algorithm under a sufficient condition on the analysis and synthesis window fu

  • A Parallel Algorithm for Discrete Gabor Transforms

    سند علمی۲۰۰۷PDPTAKshitij Sudan, Nipun Saggar, Asok De

    Serial algorithms to evaluate the Gabor transform of a discrete signal are bound by the length of signal for which the transform can be evaluated. The time taken, if machine memory and other factors are ignored, grows as order O(N) making it unsuitable for transforms of large sig

  • Block Time-Recursive Real-Valued Discrete Gabor Transform Implemented by Unified Parallel Lattice Structures

    سند علمی۲۰۰۵IEICE TransactionsLiang Tao, Hon Keung Kwan

    In this paper, the 1-D real-valued discrete Gabor transform (RDGT) proposed in our previous work and its relationship with the complex-valued discrete Gabor transform (CDGT) are briefly reviewed. Block time-recursive RDGT algorithms for the efficient and fast computation of the 1

  • Face Recognition Algorithm Using Discrete Gabor Transform

    سند علمی۲۰۰۸Gualberto Aguilar-Torres, Gabriel Sanchez-Perez, Mariko Nakano-Miyatake, Hector Perez-Meana

    This paper proposes a Face Recognition Algorithm in which the Discrete Gabor transform is used to extract the image face features vector that is then feed into a multilayer perceptron to carried out the recognition task. The features vector, estimated using the Gabor Transform, p

  • An Efficient Algorithm for the Discrete Gabor Transform Using Full Length Windows

    سند علمی۲۰۱۰PETER L. SØNDERGAARD

    This paper extends the e cient factorization of the Gabor frame operator developed by Strohmer in [17] to the Gabor analysis/synthesis operator. The factorization provides a fast method for computing the discrete Gabor transform (DGT) and several algorithms associated with it. Th

  • Efficient Algorithms for the Discrete Gabor Transform with a Long Fir Window

    سند علمی۲۰۱۴PETER L. SØNDERGAARD

    The Discrete Gabor Transform (DGT) is the most commonly used signal transform for signal analysis and synthesis using a linear frequency scale. The development of the Linear Time-Frequency Analysis Toolbox (LTFAT) has been based on a detailed study of many variants of the relevan