Error Estimate on Non-bandlimited Random Signals by Local Averages

  • Zhanjie Song
  • Xingwei Zhou
  • Gaiyun He
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3991)


We show that a non-bandlimited weak sense stationary stochastic process can be approximated by its local averages near the sampling points, and explicit error bounds are given.


Autocorrelation Function Local Average Weak Sense Sampling Theorem Bandlimited Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Zhanjie Song
    • 1
    • 2
  • Xingwei Zhou
    • 1
  • Gaiyun He
    • 3
  1. 1.Department of Mathematics and LPMCNaikai UniversityTianjinChina
  2. 2.School of ScienceTianjin UniversityTianjinChina
  3. 3.School of Mechanical EngineeringTianjin UniversityTianjinChina

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