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Analysis of Dyadic Approximation Error for Hybrid Video Codecs With Integer Transforms

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2 Author(s)
Chau-Wai Wong ; Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Kowloon, Hong Kong ; Wan-Chi Siu

In this paper, we present an analysis of the dyadic approximation error introduced by the integerization of transform coding in H.264/AVC-like codecs. We derive the analytical formulations for dyadic approximation error and nonorthogonality error. We further classify the dyadic approximation error into a “system error” and a “nonflat error,” and proposed two models for them. We found that the “nonflat error” has a substantial impact on video quality if the number of shifting bits at decoder side (DQ_BITS) is small. We also give a theoretical justification on why scaling factors at encoder side are better to be adapted to the rescaling factors at decoder side in H.264/AVC-like codecs.

Published in:

IEEE Transactions on Image Processing  (Volume:20 ,  Issue: 10 )