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По поводу быстрых алгоритмов могу глянуть еще кое-что из моей коллекции статей (если что заинтересует - отсканерю, вышлю):
H.S. Hou. A Fast Recursive Algorithm for Computing the Discrete
Cosine Transform. IEEE Transactions on Acoustics, Speech and
Signal Processing, Vol. ASSP-35, N10, October 1987, pp.1455-1461.
H.S. Malvar. Fast Computation of Discrete Cosine Transform and
Discrete Hartley Transform. IEEE Transactions on Acoustics,
Speech and Signal Processing, Vol. ASSP-35, N10, October 1987,
pp.1484-1485.
F. Wang, P. Yip. Cepstrum Analysis Using Discrete Trigonometric
Transforms. IEEE Transactions on Signal Processing, Vol. 39,
N2, February 1991, pp.538-541.
S.C. Chan, K.L. Ho. A New Two-Dimensional Fast Cosine Transform
Algorithm. IEEE Transactions on Signal Processing, Vol. 39, N2,
February 1991, pp.481-485.
H.R. Wu, F.J. Paolini. A Two-Dimensional Fast Cosine Transform
Algorithm Based on Hou's Approach. IEEE Transactions on Signal
Processing, Vol. 39, N2, February 1991, pp.544-546.
E-mail: info@telesys.ru