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Published May 2010 | Published
Journal Article Open

Dithered GMD Transform Coding

Abstract

The geometric mean decomposition (GMD) transform coder (TC) was recently introduced and was shown to achieve the optimal coding gain without bit loading under the high bit rate assumption. However, the performance of the GMD transform coder is degraded in the low rate case. There are mainly two reasons for this degradation. First, the high bit rate quantizer model becomes invalid. Second, the quantization error is no longer negligible in the prediction process when the bit rate is low. In this letter, we introduce dithered quantization to tackle the first difficulty, and then redesign the precoders and predictors in the GMD transform coders to tackle the second. We propose two dithered GMD transform coders: the GMD subtractive dithered transform coder (GMD-SD) where the decoder has access to the dither information and the GMD nonsubtractive dithered transform coder (GMD-NSD) where the decoder has no knowledge about the dither. Under the uniform bit loading scheme in scalar quantizers, it is shown that the proposed dithered GMD transform coders perform significantly better than the original GMD coder in the low rate case.

Additional Information

© 2010 IEEE. Manuscript received November 20, 2009; revised February 11, 2010. First published February 22, 2010; current version published March 26, 2010. This work was supported in part by the the Office of Naval Research under Grant N00014-08-1-0709, and by Caltech. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Adrian Munteanu.

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August 19, 2023
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