Approximation of WKS Sampling Theorem on Random Signals

作者：He Gaiyun; Song Zhanjie^*

来源：Numerical Functional Analysis and Optimization, 2011, 32(4): 397-408.

DOI：10.1080/01630563.2011.556287

• Functional analysis
• Local averages
• Random signals
• Sampling theorem

The WKS sampling theorem is a fundamental result in the field of telecommunication and signal processing. It is a perfect example of the synthesis of traditionally distinct disciplines in mathematics, engineering analysis, and the sciences. The theorem recovers a bandlimited signal from its samples at uniformly points, which purpose is to analyze deterministic functions, or deterministic signals. However, there are a few counterparts of this theorem for random signals so far. This article gives a new WKS sampling principle on random signals from local averages with probability 1.

• 出版日期2011
• 单位天津大学