• DocumentCode
    1153388
  • Title

    Constructing signals with prescribed properties

  • Author

    Eldar, Yonina C.

  • Author_Institution
    Res. Lab. of Electron., Massachusetts Inst. of Technol., Cambridge, MA, USA
  • Volume
    10
  • Issue
    3
  • fYear
    2003
  • fDate
    3/1/2003 12:00:00 AM
  • Firstpage
    82
  • Lastpage
    84
  • Abstract
    This paper introduces a general framework for constructing signals with prescribed properties that can be described as inner products of the signal with a set of vectors, with almost arbitrary construction and constraint spaces. We first derive a procedure for constructing a signal in a given construction space, with prescribed properties in a given constraint space. Building upon these results, we develop a procedure for constructing a signal with prescribed properties in two disjoint constraint spaces.
  • Keywords
    sequences; signal sampling; signal synthesis; consistent sampling; disjoint constraint spaces; geometric interpretation; inner products; local averages; lowpass coefficients; signal construction; time-limited sequence; Buildings; Collaborative work; Hilbert space; Instruments; Sampling methods; Subcontracting; Subspace constraints;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2002.807870
  • Filename
    1182091
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1153388