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Discrete cosine transform filtering
Signal Processing, 1990Circular convolution-multiplication relationships for the discrete cosine transform (DCT) that are similar to those for the discrete Fourier transform (DFT) are developed. The relations are valid if the filter frequency response is real and even. Two fairly simple relations are developed.
B. Chitprasert, K.R. Rao
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Running discrete cosine transform
Journal of Biomedical Engineering, 1992The discrete cosine transform (DCT) has become an important tool in digital signal processing because its performance is close to the optimal Karhunen-Loeve transform. In this work the running discrete cosine transform (RDCT) is introduced. Using the properties of the discrete Fourier transform kernel W = exp (-2 pi j/N), a fast recursive algorithm was
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Adaptive discrete cosine transform
Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers, 2002The theory and performance of the adaptive discrete cosine transform filter is examined. The discrete cosine transform filter is a realization of an FIR filter as the cascade of an all-zero FIR filter with a bank of IIR digital resonators. Each bank has a single magnitude and a single phase. The result of such a realization is that each coefficient can
S.J. Bukowinski +3 more
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The Discrete Cosine Transform (DCT)
2009The Fourier transform and the DFT are designed for processing complex-valued signals, and they always produce a complex-valued spectrum even in the case where the original signal was strictly realvalued. The reason is that neither the real nor the imaginary part of the Fourier spectrum alone is sufficient to represent (i.e., reconstruct) the signal ...
Wilhelm Burger, Mark J. Burge
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Reversible discrete cosine transform
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002In this paper a reversible discrete cosine transform (RDCT) is presented. The N-point reversible transform is firstly presented, then the 8-point RDCT is obtained by substituting the 2 and 4-point reversible transforms for the 2 and 4-point transforms which compose the 8-point discrete cosine transform (DCT), respectively.
K. Komatsu, K. Sezaki
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Fast Three-Dimensional Discrete Cosine Transform
SIAM Journal on Scientific Computing, 2008Summary: A fast three-dimensional discrete cosine transform algorithm (3D FCT) and a fast 3D inverse cosine transform (3D IFCT) algorithm are presented, suitable for analysis of 3D data points. Many existing algorithms for three-dimensional data points make use of either the 1D cosine transform or both the 2D and 1D cosine transforms.
Lee, M. C. +2 more
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On Computing the Discrete Cosine Transform
IEEE Transactions on Computers, 1978Haralick has shown that the discrete cosine transform of N points can be computed more rapidly by taking two N-point fast Fourier transforms (FFT's) than by taking one 2N-point FFT as Ahmed had proposed. In this correspondence, we show that if Haralick had made use of the fact that the FFT's of real sequences can be computed more rapidly than general ...
Tseng, B. D., Miller, W. C.
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Algorithm 749: fast discrete cosine transform
ACM Transactions on Mathematical Software, 1995An in-place algorithm for the fast, direct computation of the forward and inverse discrete cosine transform is presented and evaluated. The transform length may be an arbitrary power of two.
Sherlock, B. G., Monro, D. M.
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Discrete cosine transform of encrypted images
2008 15th IEEE International Conference on Image Processing, 2008Processing a signal directly in the encrypted domain provides an elegant solution in application scenarios where valuable signals must be protected from a malicious processing device. In a previous paper we considered the implementation of the ID discrete fourier transform (DFT) in the encrypted domain, by using the homomorphic properties of the ...
T. Bianchi, PIVA, ALESSANDRO, M. Barni
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Efficient Recursive Algorithm for Discrete Cosine Transform and Inverse Discrete Cosine Transform
2018 International Conference on Sustainable Energy, Electronics, and Computing Systems (SEEMS), 2018In this paper, efficient algorithms based on recursive technique are proposed for even length Discrete cosine Transform (DCT) and Inverse Discrete Cosine Transform (IDCT). The recursive relations are derived to compute N-point DCT and IDCT coefficients by utilizing $\frac {N}{1}$execution cycles per transform coefficient.
Pragati Dahiya, Priyanka Jain
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