Advanced Search
Volume 21 Issue 5
Sep.  1999
Turn off MathJax
Article Contents
Shui Penglang, Bao Zheng. INTERPOLATING WAVELETS WITH COMPACTLY SUPPORTED DUALS[J]. Journal of Electronics & Information Technology, 1999, 21(5): 585-591.
Citation: Shui Penglang, Bao Zheng. INTERPOLATING WAVELETS WITH COMPACTLY SUPPORTED DUALS[J]. Journal of Electronics & Information Technology, 1999, 21(5): 585-591.

INTERPOLATING WAVELETS WITH COMPACTLY SUPPORTED DUALS

  • Received Date: 1998-02-24
  • Rev Recd Date: 1998-11-26
  • Publish Date: 1999-09-19
  • This paper constructs a family of compactly supported interpolating wavelets with compactly supported duals. Comparing with the existed interpolating wavelets, the new wavelets are greater flexible in design and the decomposition and synthesis algorithms can be realized completely by using FIR filter banks. Finally, the test results show that they perform well in denoising.
  • loading
  • Dubuc S. Interpolation through an iterative scheme[J].J. of Math. Anal. and Appl.1986, 114:185-204[2]Deslauriers G, Dubuc S. Symmetric iterative interpolation processes. Constr. Approx,5: 49-68.[3]Donoho L D. Interpolating wavelet transform. Preprint, Department of Statistics, Stanford Uni-[4]versity, 1992.10.[5]Sweldens W. The lifting scheme: a custom-design construction of biorthogonal wavelets[J].Appl. Comput. Harmon. Anal.1996, 3(2):186-200[6]Harten A. Multiresolution representation of data: a general framework[J].SIAM J. Numer. Anal.1996, 33(3):1205-1256[7]Krantz G S. (editor), Wavelet: Mathematics and Applications. Florida, U.S.A: CRC Press, 1994, Chapter4: 185-186.[8]Sweldens W, Schroder P. Building your own wavelets at home. Technical Report 1995. 5, De-[9]partment of Math. Univ. of Carolina.[10]Saito N, Beylkin G. Multiresolutxon respresentations using the autocorrelation functions of com-pactly supported wavelets. IEEE Trans. on SP, 1993, SP-41(12): 3584-3590.[11]崔锦泰(著),程正兴(译),小波分析导论.西安:西安交通大学出版社,1994, 189-206.[12]Donoho L D. De-noising by soft-thresholding. IEEE Trans. on. IT, 1995, IT-11(3): 613-627.[13]石卓尔. 子波信号检测与区间内插子波:[博士论文]. 西安: 西安电子科技大学,1997.2.[14]Johnstone M 1, Silverman W B. Wavlet threshold estimators for data with correlated noise, Technical report, Dept. of Statistics Stanford Univ.,1996.8.[15]Shui Penglang, Bao Zheng. Signal-adapted biorthogonal interpolating recursive wavelet. Electron. Lett.,1998,10, 34(20): 1920-1921.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1635) PDF downloads(380) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return