Bandpass Discrete Prolate Spheroidal Sequences and Its Applications to Signal Representation and Interpolation

  • Received : 2013.03.03
  • Accepted : 2013.04.30
  • Published : 2013.04.30

Abstract

In this paper, we propose the bandpass form of discrete prolate spheroidal sequences(DPSS) which have the maximal energy concentration in a given passband and as such are very appropriate to obtain a projection of signals. The basic properties of the bandpass DPSS are also presented. Assuming a signal satisfies the finite time support and the essential band-limitedness conditions with a known center frequency, signal representation and interpolation techniques for band-limited signals using the bandpass DPSS are introduced where the reconstructed signal has minimal out-of-band energy. Simulation results are given to present the usefulness of the bandpass DPSS for efficient representation of band-limited signal.

Keywords

References

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