IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/905027.html
   My bibliography  Save this article

A Note on Block-Sparse Signal Recovery with Coherent Tight Frames

Author

Listed:
  • Yao Wang
  • Jianjun Wang
  • Zongben Xu

Abstract

This note discusses the recovery of signals from undersampled data in the situation that such signals are nearly block sparse in terms of an overcomplete and coherent tight frame . By introducing the notion of block -restricted isometry property ( -RIP), we establish several sufficient conditions for the proposed mixed -analysis method to guarantee stable recovery of nearly block-sparse signals in terms of . One of the main results of this note shows that if the measurement matrix satisfies the block -RIP with constants , then the signals which are nearly block -sparse in terms of can be stably recovered via mixed -analysis in the presence of noise.

Suggested Citation

  • Yao Wang & Jianjun Wang & Zongben Xu, 2013. "A Note on Block-Sparse Signal Recovery with Coherent Tight Frames," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-6, December.
    • Handle: RePEc:hin:jnddns:905027
    DOI: 10.1155/2013/905027
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2013/905027.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2013/905027.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/905027?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnddns:905027. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.