Hadamard transformation method and apparatus

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

Reexamination Certificate

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C382S248000

Reexamination Certificate

active

10322598

ABSTRACT:
The present invention provides a method and apparatus that transforms input signals X0, X1, X2, X3using a 4-point Hadamard transform matrix, and of the resulting transformation data, rounds up the LSB of the first transformed data and rounds down the LSB of the remaining odd-numbered data. When restoring the data to its original state the rounding is executed after a Hadamard inverse transformation is performed, thereby restoring the data to its original state X0, X1, X2, X3.

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Makoto Hoshino, et al., “Lossless Image Coding Using Hadamard Transform Residue Patterns,” The Institute of Electronics, Information and Communication Engineers (IEICE), Technical Report, vol. 97, No. 428, CS97-132, p. 7-12, Dec. 12, 1997.
Makoto Hoshino, et al., “Lossless Image Coding Using a Number-Theoretic Hadamard Transform,” The Institute of Electronics, Information and Communication Engineers (IEICE), Technical Report, vol. 96, No. 402, CS96-132, p. 25-30, Dec. 13, 1996.
“Lossless 8-point fast discrete cosine transform using lossless hadamard transform,” Fukama, et al., The Institute of Electronics, Information and Communication Engineers, 1999, pp. 37-44.

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