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Fast parallel algorithms for the DCT-kernel-based real-valued discrete Gabor transform (RDGT) and its inverse transform are presented based on multirate signal processing. An analysis convolver bank is designed for the RDGT and a synthesis convolver bank is designed for its inverse transform. The parallel channels in each of the two convolver banks have a unified structure and can apply the fast DCT...
The traditional discrete Gabor transform (DGT) is briefly reviewed in this paper. Block time-recursive algorithms for the efficient and fast computation of the DGT coefficients and for the fast reconstruction of the original signal from the coefficients are then developed in both the critical sampling case and the over-sampling case. Unified parallel lattice structures for the implementation of the...
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