Wavelet and footprint sampling of signals with a finite rate of innovation

被引:0
作者
Dragotti, PL [1 ]
Vetterli, M [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England
来源
2004 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL II, PROCEEDINGS: SENSOR ARRAY AND MULTICHANNEL SIGNAL PROCESSING SIGNAL PROCESSING THEORY AND METHODS | 2004年
关键词
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we consider classes of not bandlimited signals, namely, streams of Diracs and piecewise polynomial signals, and show that these signals can be sampled and perfectly reconstructed using wavelets as sampling kernel. Due to the multiresolution structure of the wavelet transform, these new sampling theorems naturally lead to the development of a new resolution enhancement algorithm based on wavelet footprints [2]. Preliminary results show the potentiality of this algorithm.
引用
收藏
页码:941 / 944
页数:4
相关论文
共 8 条
  • [1] [Anonymous], 1993, Ten Lectures of Wavelets
  • [2] [Anonymous], 1997, A Wavelet Tour of Signal Processing
  • [3] Wavelet footprints: Theory, algorithms, and applications
    Dragotti, PL
    Vetterli, M
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2003, 51 (05) : 1306 - 1323
  • [4] Strang G., 1996, Wavelets and filter banks
  • [5] A GENERAL SAMPLING THEORY FOR NONIDEAL ACQUISITION DEVICES
    UNSER, M
    ALDROUBI, A
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) : 2915 - 2925
  • [6] Sampling - 50 years after Shannon
    Unser, M
    [J]. PROCEEDINGS OF THE IEEE, 2000, 88 (04) : 569 - 587
  • [7] Sampling signals with finite rate of innovation
    Vetterli, M
    Marziliano, P
    Blu, T
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (06) : 1417 - 1428
  • [8] Vetterli M., 1995, Wavelets and Subband Coding