Earticle

초록

영어

All phase digital filter (APDF) is a new type of linear phase FIR digital filter which was proposed in recent years, and a general method to design 2-D FIR digital filters called 2-D APDF is presented in this paper. Firstly, the theory of biorthogonal wavelet transform and 2-D APDF is expounded. Secondly, a novel algorithm is proposed to implement biorthogonal wavelet transform by using 2-D APDF based on DFT and IDCT. The relations between two kinds of filters are discussed. As an important application of biorthogonal wavelet transform, multi-resolution analysis of 2-D image signal could be used to test the feasibility and applicability of the proposed algorithm. Finally, the test image can be reconstructed perfectly in the multi-resolution analysis of 2-D image experiment using MATLAB tool in this paper, and the analysis indicates that the proposed method performs well.

목차

Abstract
 1. Introduction
 2. Biorthogonal Wavelet Transform
  2.1. One-dimensional Mallat Algorithm
  2.2. Two-dimensional Mallat Algorithm
 3. The Method to Design 2-D APDF Based on DFT
  3.1. The Principle of All Phase Digital Filter (APDF) Based on DFT
  3.2. Derivation of Transition Matrix GN
  3.3. The Method to Design a 2-D APDF Based on DFT Using Transition Matrix
  3.4. 2-D APDF Filtering Realized in Transform Domain
 4. Algorithm Design of Biorthogonal Wavelet Transform Using 2-D APDF
  4.1. Process of 2-D Biorthogonal Wavelet Transform Using 2-D APDF
  4.2. The Process of a 2-D Signal through the 2-D APDF Realized in Transform Domain
  4.3. Solving the Sequency Response Matrix in the 2-D APDF
 5. Experimental Results
 6. Conclusion
 Acknowledgements
 References

키워드

저자

• Qiming Fu [ School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China ]
• Xiao Zhou [ School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China ]
• Chengyou Wang [ School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China ]
• Baochen Jiang [ School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai 264209, China ]

참고문헌

발행기관

간행물

표지보기 관심저널 등록

• 간행물명

  International Journal of Signal Processing, Image Processing and Pattern Recognition

• 간기

  격월간

• pISSN

  2005-4254

• 수록기간

  2008~2016

• 십진분류

  KDC 505 DDC 605