Unified Parallel Lattice Structures for Block Time-Recursive Real-Valued Discrete Gabor Transforms |
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| Authors: | TAO Liang and ZHUANG ZhenQuan |
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| Affiliation: | TAO Liang and ZHUANG ZhenQuanDepartment of Electronic Science and Technology,University of Science and Technology of ChinaHefei 230026,P.R. ChinaDepartment of Electronic Engineering and Information Science,Anhui University,Hefei 230039,P.R. China |
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| Abstract: | In this paper, the 1-D real-valued discrete Gabor transform (RDGT) proposed in the 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-D RDGT coefficients and for the fast reconstruction of the original signal from the coefficients are developed in both critical sampling and oversampling cases. Unified parallel lattice structures for the implementation of the algorithms axe studied. And the computational complexity analysis and comparison show that the proposed algorithms provide a more efficient and faster approach to the computation of the discrete Gabor transforms. |
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| Keywords: | real-valued discrete Gabor transform parallel lattice structure block time-recursive algorithm |
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