Signal Estimation Using Wavelet Analysis of Solution Monitoring Data for Nuclear Safeguards

Abstract

Wavelets are explored as a data smoothing (or de-noising) option for solution monitoring data in nuclear safeguards. In wavelet-smoothed data, the Gibbs phenomenon can obscure important data features that may be of interest. This paper compares wavelet smoothing to piecewise linear smoothing and local kernel smoothing, and illustrates that the Haar wavelet basis is effective for reducing the Gibbs phenomenon.

Keywords

• wavelet smoothing
• wavelet de-noising
• Gibbs phenomenon