Computation of 2D 8×8 DCT Based on the Loeffler Factorization Using Algebraic Integer Encoding.

Diego F. G. Coelho,Sushmabhargavi Nimmalapalli,Vassil S. Dimitrov,Arjuna Madanayake,Renato J. Cintra,Arnaud Tisserand

IEEE Transactions on Computers（2018）

引用 9|浏览24

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摘要

This paper proposes a computational method for 2D 8×8 DCT based on algebraic integers. The proposed algorithm is based on the Loeffler 1D DCT algorithm, and it is shown to operate with exact computation—i.e., error-free arithmetic—up to the final reconstruction step (FRS). The proposed algebraic integer architecture maintains error-free computations until an entire block of DCT coefficients having...

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关键词

Discrete cosine transforms,Two dimensional displays,Signal processing algorithms,Artificial intelligence,Computer architecture,Image coding,Approximation algorithms

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