Implementation of an inverse discrete cosine transform using...

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

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C708S401000

Reexamination Certificate

active

07020671

ABSTRACT:
Compressed data are decompressed using an inverse discrete cosine transform (IDCT). A first one directional (1D) IDCT is performed resulting in a plurality of first 1D IDCT coefficients followed by a second 1D IDCT resulting in a plurality of second 1D IDCT coefficients. In performing the first 1D IDCT and the second 1D IDCT a first plurality of intermediate butterfly computations are performed which include performing a plurality of intermediate multiplications resulting in a plurality of initial products and performing a plurality of intermediate additions resulting in intermediate product which are maintained at no more than 16-bits utilizing a round near positive (RNP) rounding scheme. Following the second 1D IDCT a rounding and shifting of the plurality of second 1D IDCT coefficients is performed utilizing a round away from zero (RAZ) rounding scheme resulting in a plurality of output coefficients which comply with the IEEE 1180 standard.

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patent: 6009207 (1999-12-01), Chen
patent: 6026190 (2000-02-01), Astle
“IEEE Standard Specifications for the Implementation of 8x8 Inverse Discrete Cosine Transform”, Mar. 18, 1991, IEEE Circuits and Systems Society, 14 pages, Std. 1180-1990 ISBN 1-55937-098-X.
“A Fast Computational Algorithm for the Discrete Cosine Transform”, Wen-Hsiung Chen, C. Harrison Smith, S.C. Fralick, Jan. 24, 1997, 7 pages, IEEE Transactions on Communications, vol. Com-25, No. 9, Sep. 1977.
“Discrete Cosine Transform”, N. Ahmed, T. Natarajan, K.R. Rao, 5 pages, Jan. 29, 1973, IEEE Transactions on Computers, Jan. 1974.

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