An Almost Sure Result on Sampling of Bandlimited Random Signals

HE Gaiyun; SONG Zhanjie

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Article Navigation > Chinese Journal of Electronics > 2013 > 22(4): 747-750

HE Gaiyun and SONG Zhanjie, “An Almost Sure Result on Sampling of Bandlimited Random Signals,” Chinese Journal of Electronics, vol. 22, no. 4, pp. 747-750, 2013,

Citation:

HE Gaiyun and SONG Zhanjie, “An Almost Sure Result on Sampling of Bandlimited Random Signals,” Chinese Journal of Electronics, vol. 22, no. 4, pp. 747-750, 2013,

HE Gaiyun and SONG Zhanjie, “An Almost Sure Result on Sampling of Bandlimited Random Signals,” Chinese Journal of Electronics, vol. 22, no. 4, pp. 747-750, 2013,

Citation:

HE Gaiyun and SONG Zhanjie, “An Almost Sure Result on Sampling of Bandlimited Random Signals,” Chinese Journal of Electronics, vol. 22, no. 4, pp. 747-750, 2013,

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An Almost Sure Result on Sampling of Bandlimited Random Signals

HE Gaiyun^1
,,
SONG Zhanjie^2,3

1.
Key Laboratory for Mechanism Theory and Equipment Design, Ministry of Education, Tianjin University, Tianjin 300072, China;
2.
School of Science and State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjing University, Tianjin, 300072, China;
3.
Institute of TV and Image Information, Tianjin University, Tianjin 300072, China

Funds: This work is partially supported by the National Natural Science Foundation of China (No.60872161;No.60932007).

More Information

Corresponding author: HE Gaiyun, SONG Zhanjie
Received Date: 2011-05-01
Rev Recd Date: 2012-05-01
Publish Date: 2013-09-25

Abstract

Abstract

The Shannon-Nyquist sampling theorem for deterministic signals is a fundamental result in the field of telecommunication and signal processing, and many results on this topic have been obtained. However, very few results on random signals have been published, after Kolmogorov mentioned the importance of Shannon-formula for stochastic signals in 1956. In this paper, following the almost sure result for bandlimited stochastic processes proposed by Seip in 1990, we give an almost sure result of the classical sampling theorem for bandlimited random signals with local average sampling.
- Sampling theorem,
- Rate of convergence,
- Random signals,
- Local averages

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References(17)

References

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