Random sampling of deterministic signals: statistical analysis of Fourier transform estimates

@article{Masry2006RandomSO,
  title={Random sampling of deterministic signals: statistical analysis of Fourier transform estimates},
  author={Elias Masry},
  journal={IEEE Transactions on Signal Processing},
  year={2006},
  volume={54},
  pages={1750-1761}
}
This paper considers the estimation of the Fourier transform of continuous-time deterministic signals from a finite number N of discrete-time nonuniform observations. We first extend the recent results (mean and variance) of Tarczynski and Allay by providing both distributional properties as well as rates of almost sure convergence for the simple random sampling scheme of Tarczynski and Allay. The primary focus is to consider and investigate the properties of a class of stratified random… CONTINUE READING
Highly Cited
This paper has 37 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 22 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 18 references

Allay, “Spectral analysis of randomly sampled signals: Suppression of aliasing and sampler jitter,

  • N. A. Tarczynski
  • IEEE Trans. Signal Process.,
  • 2004
Highly Influential
10 Excerpts

Approximation Theorems of Mathematical Statistics

  • R. J. Serfling
  • New York: Wiley
  • 1980
Highly Influential
3 Excerpts

and V

  • Y. Artyukh, A. Ribakov
  • Vedin, “Evaluation of pseudorandom sampling…
  • 1997
1 Excerpt

Digital alias-free signal processing in the GHz frequency range,

  • I. Bilinskis, G. D. Cain
  • in Inst. Elect. Eng. Colloquium Advanced Signal…
  • 1996
1 Excerpt

Spectral estimation of continuous-time stationary processes from random samples,

  • K. S. Lii, E. Masry
  • Stoch. Process. Appl.,
  • 1994
1 Excerpt

Digital Filters: Analysis

  • A. Antoniou
  • Design and Applications. New York: McGraw-Hill
  • 1993
1 Excerpt

Similar Papers

Loading similar papers…