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Fast Hybrid Transform: DCT-II/DFT/HWT

  • Xu, Dan-Ping (Chonbuk National University, Institute of Information and Communication) ;
  • Shin, Dae-Chol (Chonbuk National University, Institute of Information and Communication) ;
  • Duan, Wei (Chonbuk National University, Institute of Information and Communication) ;
  • Lee, Moon-Ho (Chonbuk National University, Institute of Information and Communication)
  • 쉬단핑 (전북대학교 전자공학부) ;
  • 신태철 (전북대학교 전자공학부) ;
  • 단위 (전북대학교 전자공학부) ;
  • 이문호 (전북대학교 전자공학부)
  • Received : 2011.07.19
  • Accepted : 2011.09.15
  • Published : 2011.09.30

Abstract

In this paper, we address a new fast DCT-II/DFT/HWT hybrid transform architecture for digital video and fusion mobile handsets based on Jacket-like sparse matrix decomposition. This fast hybrid architecture is consist of source coding standard as MPEG-4, JPEG 2000 and digital filtering discrete Fourier transform, and has two operations: one is block-wise inverse Jacket matrix (BIJM) for DCT-II, and the other is element-wise inverse Jacket matrix (EIJM) for DFT/HWT. They have similar recursive computational fashion, which mean all of them can be decomposed to Kronecker products of an identity Hadamard matrix and a successively lower order sparse matrix. Based on this trait, we can develop a single chip of fast hybrid algorithm architecture for intelligent mobile handsets.

Keywords

References

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