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Block Time-Recursive Real-Valued Discrete Gabor Transform Implemented by Unified Parallel Lattice Structures Liang TAO Hon Keung KWAN Publication IEICE TRANSACTIONS on Information and Systems Vol.E88-D No.7 pp.1472-1478 Publication Date: 2005/07/01 Online ISSN: DOI: 10.1093/ietisy/e88-d.7.1472 Print ISSN: 0916-8532 Type of Manuscript: Special Section PAPER (Special Section on Recent Advances in Circuits and Systems--Part 1) Category: Digital Circuits and Computer Arithmetic Keyword: real-valued discrete Gabor transforms, parallel lattice structure, block time-recursive algorithms, discrete Hartley transform, Full Text: PDF(685.5KB)>>
Summary: 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-D RDGT coefficients and for the fast reconstruction of the original signal from the coefficients are then developed in both the critical sampling case and the oversampling case. Unified parallel lattice structures for the implementation of the algorithms are studied. And the computational complexity analysis and comparison show that the proposed algorithms provide a more efficient and faster approach for the computation of the discrete Gabor transforms. | ||||||||||
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