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The traditional DCT-based real-valued discrete Gabor transform (RGDT) was limited to the critical sampling case. The biorthogonality relationship between the analysis window and synthesis window for the transform was not unveiled. To overcome those drawbacks, this paper proposes a novel DCT-based real-valued discrete Gabor transform, which can be applied under both the critical sampling condition...
In this paper, the DCT-based real-valued discrete Gabor transform (RDGT) is briefly reviewed, and then, block time-recursive algorithms for the efficient and fast computation of the RDGT coefficients and for the fast reconstruction of the original signal from the coefficients are developed in both the critical sampling case and the oversampling case. Unified parallel lattice structures for the implementation...
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