Discrete cosine transformation system and inverse discrete cosin

Details Discrete cosine transformation system and inverse discrete cosin Discrete cosine transformation system and inverse discrete cosin

1995-11-09

1997-04-15

Mai, Tan V.

Boots, shoes, and leggings

G06F 738

Patent

active

056216769

ABSTRACT:
An 8.times.8 discrete cosine transformation (8.times.8 DCT) system with minimum multiplications, without a reduced accuracy of calculation, and operable at a high speed, and an 8.times.8 inverse discrete cosine transformation (IDCT) system are disclosed. The transformation matrices for an 8.times.8 DCT are factorized into a constant matrix [Q] and a matrix [R], and the relationship between the original input data [X] and the output matrix data [C] can be defined by [C]=1/2 [R] [Q] [X]. The matrix [Q] consists of 0, 1, and -1, while the matrix [R] consists of irrational numbers defined by the 8.times.8 DCT. The computation of the constant matrix [Q] to the matrix data [X] can be realized by an addition and subtraction operation, while multiplication is performed just for the computation of the matrix [R]. The addition and subtraction circuit performs a computation between [X] and [Q], while the multiplication and addition circuit performs a computation between the result of computation of the addition and subtraction circuit and the matrix [R]. Also, an 8.times.8 IDCT performs the computation inverse to the 8.times.8 DCT.

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patent: 5253192 (1993-10-01), Tufts
patent: 5349549 (1994-09-01), Tsutsui

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