In this paper, we present a result regarding the probability distribution of wavelets coefficients. It extends the Theorem 1 that is presented in our previous work -Cohen, A. et al. Design of experiments and statistical process control using wavelets analysis. Control Engineering Practice. 2015- to include Biorthogonal wavelets. Then, a new control chart, called OWave (Orthogonal Wavelets), is proposed in order to detect mean change in the process. The statistic of the proposed control chart is based on weighted wavelets coefficients. Performance study shows that OWave control chart performs slightly better than the optimal version EWMA control chart.
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Title
Weighted wavelets coefficients for monitoring process mean
Publication Details
IFAC - Papers OnLine: 4th IFAC Conference on Advances in Control and Optimization of Dynamical Systems ACODS 2016, Vol.49(1 ), pp.819-823
Resource Type
Conference proceeding
Conference
4th IFAC Conference on Advances in Control and Optimization of Dynamical Systems ACODS 2016 (Tiruchirappalli, India, 02/01/2016–02/05/2016)