Abstract
The discrete cosine transform (DCT) has a variety of applications in image and speech coding [1, 2]. The idea of the approximate subband DFT (SB-DFT) [3, 4] is applied in [5] and [6] to the DCT. In this paper the basic idea of the subband DCT (SB-DCT) is reviewed. The calculation of the approximate SB-DCT is done with the aid of a fast cosine-transform method [7]. The subband DCT is generalized such that any band out of M subbands can be calculated. For this purpose the fast DCT method [7] is modified to calculate the fast DST. A general analysis of the errors due to the approximation is presented. The adaptive capability of the SB-DFT given in [8] is added to the SB-DCT to calculate adaptively the band of the dominant energy. The two-dimensional (2-D) SB-DCT is also investigated in this work. Applications of the general adaptive SB-DCT in speech cepstrum analysis and in echo detection are included.
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References
W. Chen, C. H. Smith, and S. C. Fralick. A fast computational algorithm for the Discrete Cosine Transform. IEEE Trans. Commun., COM-25(9): 1004–1009, 1977.
R. Zelinski and P. Noll. Adaptive Transform Coding of Speech Signals. IEEE Trans. Acoust., Speech, Signal Processing, ASSP-25(8): 299–309, 1977.
S. K. Mitra, O. V. Shentov, and M. R. Petraglia. A Method for Fast Approximate Computation of Discrete Time Transforms. In Proc. of ICASSP’90, Albuquerque, NM, pp.2025-2028, 1990.
A. N. Hossen, U. Heute, O. Shentov, and S. Mitra. Subband DFT-Part II: Accuracy, Complexity, and Applications. Signal Processing, 41(3):279–294, 1995.
S. Jung, S. Mitra, and D. Mukherjee. Subband DCT: Definition, Analysis, and Applications. IEEE Trans. on Circuits and Systems for Video Technology, 6(3), 1996.
A. N. Hossen and U. Heute. Fast Approximate DCT: Basic-Idea, Error Analysis, Applications. In Proceedings of ICASSP-97, Munich, Germany, 1997.
J. Makhoul. A Fast Cosine Transform in One and Two Dimensions. IEEE Transaction Vol., ASSP-28(1):27–34, 1980
A. N. Hossen and U. Heute. Fully Adaptive Evaluation of the Sub-Band DFT. In Proc. of ISCAS’93, Chicago, pp.655-658, 1993.
A. V. Oppenheim and R. W. Schäfer. Discrete-Time Signal Processing, Prentice Hall, 1989.
H. Hassanein and M. Rudko. On the Use of Discrete Cosine Transform in Cepstral Analysis. IEEE Trans., ASSP-32(4), 1984.
Matlab Signal Processing Toolbox, The MathWorks, 1994.
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© 1998 Springer Science+Business Media New York
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Hossen, A., Heute, U. (1998). General Sub-Band DCT: Fast Approximate Adaptive Algorithm. In: Procházka, A., UhlĂĹ™, J., Rayner, P.W.J., Kingsbury, N.G. (eds) Signal Analysis and Prediction. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1768-8_3
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DOI: https://doi.org/10.1007/978-1-4612-1768-8_3
Publisher Name: Birkhäuser, Boston, MA
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