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On the multiplicative complexity of discrete cosine transforms
IEEE Transactions on Information Theory, 1992Computing the discrete cosine transform (DCT) involves multiplying an arbitrary real vector of length \(N\) by the matrix \(K_ N:=(\cos(2\pi j(2k+1)/(4N)))^{N-1}_{j,k=0}\). The minimum number of nonrational multiplications required to compute the product of an arbitrary real vector of length \(N\) by a real \((N,N)\)-matrix \(M\) is denoted by \(\mu(M)\
Ephraim Feig, Shmuel Winograd
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Mixed-radix discrete cosine transform
IEEE Transactions on Signal Processing, 1993Presents two new fast discrete cosine transform computation algorithms: a radix-3 and a radix-6 algorithm. These two new algorithms are superior to the conventional radix-3 algorithm as they (i) require less computational complexity in terms of the number of multiplications per point, (ii) provide a wider choice of the sequence length for which the DCT
Yuk-Hee Chan, Wan-Chi Siu
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On the embedding limits of the discrete cosine transform
Multimedia Tools and Applications, 2015This paper investigates the embedding capacity limits of high-capacity data hiding in color images based on a locally Adaptive-Region Discrete Cosine Transform (AR-DCT) frequency domain data hiding scheme, and explores the relationship between hiding capacity and image quality.
Tamer Rabie, Ibrahim Kamel
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Interesting properties of the discrete cosine transform
Journal of Visual Communication and Image Representation, 1992Among the various image data compression methods, the discrete cosine transform (DCT) has emerged as a popular method in gray-scale image compression. This paper presents detailed analyses of several interesting properties of the DCT, which can be described in three parts: the frequency characteristics, the filtering properties, and the subband ...
H. S. Hou, D. R. Tretter, M. J. Vogel
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2D lossless discrete cosine transform
Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), 2002Since the lossless DCT is compatible with JPEG or MPEG, it is expected to play an important role in unified lossless/lossy image coding. However, there is a problem that the difference between the transform coefficients of the lossless DCT and those of the (lossy) DCT is not very small. We present the design of a two dimensional lossless DCT based on a
Kunitoshi Komatsu, Kaoru Sezaki
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Diagonalizing properties of the discrete cosine transforms
IEEE Transactions on Signal Processing, 1995Since its introduction in 1974 by Ahmed et al., the discrete cosine transform (DCT) has become a significant tool in many areas of digital signal processing, especially in signal compression. There exist eight types of discrete cosine transforms (DCTs).
Victoria E. Sánchez +4 more
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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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Fast algorithms for the discrete cosine transform
IEEE Transactions on Signal Processing, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ephraim Feig, Shmuel Winograd
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