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Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals

  • Jeffrey A. Hogan
  • Joseph D. Lakey
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

This chapter develops aspects of previous work ([10] and [11]) that pertain distinctly to band-limited functions. In particular, we discuss some representation formulas for band-limited functions in terms of periodic nonuniform samples. In the case of multiband signals, periodic nonuniform sampling is often valid at a lower sampling rate than is uniform sampling, as will be discussed. Finally, we will consider some related questions about optimally time- and multiband-limited signals.

Keywords

Sampling Theorem Wiener Space Sinc Function Frequency Support Nonuniform Sampling 
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Copyright information

© Birkhäuser Boston 2008

Authors and Affiliations

  • Jeffrey A. Hogan
    • 1
  • Joseph D. Lakey
    • 2
  1. 1.Department of Mathematical SciencesUniversity of ArkansasFayetteville
  2. 2.Department of Mathematical SciencesNew Mexico State UniversityLas Cruces

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