Median Based Algorithm as an Entropy Function for Noise Detection in Wavelet Trees for Data Reconciliation

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

The noise detection and the data cleaning find application in data compressions for images and voice as well as in their analysis and recognition, data transmission, data reconciliation, fault detection and in general in all application area of the signal processing and measurements. The content of this paper
can offer the possibility to improve the state of the art of all those procedures with denoising methods which use a thresholding technique implying a free thresholding one, running in wavelet packets. The author presents a technique which deals with a free thresholding method related to the on-line peak
noise variance estimation even for signals with a small S/N ratio. The second innovative aspect consists of use of wavelet packets which give more elasticity to the technique. The basic idea is to characterize the noise like an incoherent part of the measured signal. It is performed through the wavelet tree by choosing the subspaces where the median value of the wavelet components has minimum. In this sense the proposed median based algorithm can be seen as an entropy function and this analogy is shown. The paper provides to show general properties of the wavelet packets on which the proposed procedure is based. The developed algorithm is totally general even though it is applied by using Haar wavelet packets and it is present in some industrial software platforms to detect sensor outliers because of their easy structure. More, it is currently integrated in the inferential modeling platform of the Advanced Control and Simulation Solution Responsible Unit within ABB’s (Asea Brown Boveri) industry division.
OriginalspracheEnglisch
ZeitschriftInternational Journal of Mathematics, Game Theory and Algebra
Jahrgang19
Ausgabenummer5-6
Seiten (von - bis)319-333
Anzahl der Seiten15
ISSN1060-9881
PublikationsstatusErschienen - 2010
Extern publiziertJa

Links

Zuletzt angesehen

Publikationen

  1. Biorthogonal wavelet trees in the classification of embedded signal classes for intelligent sensors using machine learning applications
  2. Comparing data scaling based recursive least squares algorithms with Kalman Filter for nano parameters identification
  3. An adaptive derivative estimator for fault-detection Using a dynamic system with a suboptimal parameter
  4. Fast template match algorithm for spatial object detection using a stereo vision system for autonomous navigation
  5. Analyzing multivariate dynamics using cross-recurrence quantification analysis (CRQA), diagonal-cross-recurrence profiles (DCRP), and multidimensional recurrence quantification analysis (MdRQA) - A tutorial in R
  6. archiDART: a R package allowing root system architecture analysis using Data Analysis of Root Tracings (DART) output files
  7. Database Publishing Without Databases
  8. Agile knowledge graph testing with TESTaLOD
  9. How to get really smart: Modeling retest and training effects in ability testing using computer-generated figural matrix items
  10. Semi-supervised learning for structured output variables
  11. Evolutionary generation of dispatching rule sets for complex dynamic scheduling problems
  12. Different complex word problems require different combinations of cognitive skills
  13. Simultaneous Constrained Adaptive Item Selection for Group-Based Testing
  14. Noise Detection for Biosignals Using an Orthogonal Wavelet Packet Tree Denoising Algorithm
  15. Applying Bayesian Parameter Estimation to A/B Tests in e-Business Applications
  16. Problem structuring for transitions
  17. Diffusion-driven microstructure evolution in OpenCalphad
  18. How to combine collaboration scripts and heuristic worked examples to foster mathematical argumentation - when working memory matters
  19. An Improved Approach to the Semi-Process-Oriented Implementation of Standardised ERP-Systems
  20. Global temporal typing patterns in foreign language writing
  21. Gain Scheduling Controller for Improving Level Control Performance
  22. Retest effects in matrix test performance
  23. Anatomy of Haar Wavelet Filter and Its Implementation for Signal Processing
  24. Template-based Question Answering using Recursive Neural Networks
  25. Sequencing and fading worked examples and collaboration scripts to foster mathematical argumentation - working memory capacity matters for fading
  26. Four Methods to Distinguish between Fractal Dimensions in Time Series through Recurrence Quantification Analysis