An accurate fixed-point 8×8 IDCT algorithm based on 2D algebraic integer representation

Ihab Amer; Wael Badawy; Vassil Dimitrov; Graham Jullien

doi:10.1117/12.740227

8 October 2007 An accurate fixed-point 8×8 IDCT algorithm based on 2D algebraic integer representation

Ihab Amer, Wael Badawy, Vassil Dimitrov, Graham Jullien

Proceedings Volume 6696, Applications of Digital Image Processing XXX; 669616 (2007) https://doi.org/10.1117/12.740227
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

This paper proposes an algorithm that is based on the application of Algebraic Integer (AI) representation of numbers on the AAN fast Inverse Discrete Cosine Transform (IDCT) algorithm. AI representation allows for maintaining an error-free representation of IDCT until the last step of each 1-D stage of the algorithm, where a reconstruction step from the AI domain to the fixed precision binary domain is required. This delay in introducing the rounding error prevents the accumulation of error throughout the calculations, which leads to the reported high-accuracy results. The proposed algorithm is simple and well suited for hardware implementation due to the absence of computationally extensive multiplications. The obtained results confirm the high accuracy of the proposed algorithm compared to other fixed-point implementations of IDCT.

Citation Download Citation

Ihab Amer, Wael Badawy, Vassil Dimitrov, and Graham Jullien "An accurate fixed-point 8×8 IDCT algorithm based on 2D algebraic integer representation", Proc. SPIE 6696, Applications of Digital Image Processing XXX, 669616 (8 October 2007); https://doi.org/10.1117/12.740227

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