Circuits, Communications and Systems, Pacific-Asia Conference on (2009)
May 16, 2009 to May 17, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/PACCS.2009.14
The length of discrete signals could be very long in many real applications. In such case, the existing DCT-based real-valued discrete Gabor transform (RGDT) for finite sequences is no longer adequate. In this paper, the novel DCT-based RGDT for infinite sequences is defined and the biorthogonality relationship between the analysis window and the synthesis window for the novel transform is also provided. Because the novel transform only involves real operations and can utilize fast DCT and IDCT algorithms for fast computation, it is easier in computation and implementation by hardware or software as compared to the traditional complex-valued discrete Gabor transform.
real-valued discrete Gabor transform (RGDT), biorthogonality relationship, discrete cosine transforn (DCT)
L. Tao and X. Gao, "DCT-Based Gabor Transform for Long or Infinite Sequences," 2009 Pacific-Asia Conference on Circuits, Communications and Systems (PACCS 2009)(PACCS), Chengdu, 2009, pp. 11-14.