Discrete cosine transform: algorithms, advantages, applications
Discrete cosine transform: algorithms, advantages, applications
Signal Processing
On a novel critically-sampled discrete-time real Gabor transform
Signal Processing
Discrete Gabor transforms with complexity O(NlogN)
Signal Processing
IEICE - Transactions on Information and Systems
Novel DCT-based real-valued discrete Gabor transform and its fast algorithms
IEEE Transactions on Signal Processing
Fast parallel approach for 2-D DHT-based real-valued discrete Gabor transform
IEEE Transactions on Image Processing
Computationally attractive real Gabor transforms
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
An efficient algorithm to compute the complete set of discrete Gabor coefficients
IEEE Transactions on Image Processing
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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 algorithms to reduce computation. The computational complexity of each parallel channel is low and depends mainly on the length of the discrete input signal and the number of the Gabor frequency sampling points. Every parallel channel corresponds to one RDGT coefficient, and all the RDGT coefficients are computed in parallel during the analysis process and are finally reconstructed in parallel as pieces of the original signal during the synthesis process. The computational complexity related to the computational time of each RDGT coefficient or each piece of the reconstructed signal in the proposed parallel algorithms is analyzed and compared with those in the existing major parallel algorithms for the RDGT and its inverse transform. The results indicate that the proposed multirate-based fast parallel algorithms for the RDGT are attractive for real-time signal processing.