1. //
  2. Start
  3. //
  4. Publications
  5. //
  6. Median Based Algorithm as an Entropy Fun...
  7. //

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

Research output: Journal contributions › Journal articles › Research › peer-review

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.
Original languageEnglish
JournalInternational Journal of Mathematics, Game Theory and Algebra
Volume19
Issue number5-6
Pages (from-to)319-333
Number of pages15
ISSN1060-9881
Publication statusPublished - 2010
Externally publishedYes

Other publications by the same author(s)

An Over-Actuated Hexacopter Tilt-Rotor UAV Prototype for Agriculture of Precision: Modeling and Control

Pimentel, G. O., Santos, M. F. D., Lima, J., Mercorelli, P. & Fernandes, F. M., 15.01.2025, In: Sensors. 25, 2, 27 p., 479.

Research output: Journal contributions › Journal articles › Research › peer-review

Automatic Tuning of Extended Kalman Filter in Synchronous Reluctance Motor Drives with a Master-Slave Configuration

Rigon, S., Haus, B., Mercorelli, P. & Zigliotto, M., 27.02.2025, In: IEEE Open Journal of Power Electronics. 6, p. 734-746 13 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Business Analytics and Making Decision Based on Kalman Filter in Stock Prediction Case

Kurniawan, S. & Mercorelli, P., 27.05.2025, 5th Congress on Intelligent Systems, CIS 2024: Volume 1. Kumar, S., Mary Anita, E. A., Kim, J. H. & Nagar, A. (eds.). Springer Science and Business Media Deutschland, p. 309-320 12 p. (Lecture Notes in Networks and Systems; vol. 1275).

Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

Dynamic Performance Analysis and Fault Ride-Through Enhancement by a Modified Fault Current Protection Scheme of a Grid-Connected Doubly Fed Induction Generator

Talani, R. A., Kaloi, G. S., Ali, A., Bijarani, M. A., Abbas, G., Hatatah, M., Mercorelli, P. & Touti, E., 02.2025, In: Machines. 13, 2, 20 p., 110.

Research output: Journal contributions › Journal articles › Research › peer-review

Inner loop model predictive control and outer loop PI reference governor for PMSMs with input and state saturation for torque control

Zwerger, T. & Mercorelli, P., 01.02.2025, In: Mathematics and Computers in Simulation. 228, p. 178-201 24 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Links

Recently viewed

Activities

  1. Implemented Wavelet Packet Tree based Denoising Algorithm in Bus Signals of a Wearable Sensorarray
  2. Knowledge Acquisition and Problem Solving in CSCL with Learning Protocols: Effects of Different Scripting Strategies
  3. A Local Feature Extraction Using Biorthogonal Bases for Classification of Embedded Classes of Signals
  4. Presentaton of the paper entitled "Estimation of Parameters in the SIR Model using a Particle Swarm Optimization Algorithm" at the 2nd International Conference on Advances in Data-driven Computing and Intelligent Systems (ADCIS 2023)
  5. Model Predictive Control for Switching Gain Adaptation in a Sliding Mode Controller of a DC Drive with Nonlinear Friction
  6. Perturbation Analysis to Design a Robust Decoupling Geometric Technique in Linear Multi-Input Multi-Output Systems
  7. Interpreting Strings, Weaving Threads – Structuring Provenance Data with AI
  8. Can the ability to identify criteria explain why some selection procedures work? Results and unresolved issues
  9. SIAM Conference on Applications of Dynamical Systems - DS 2023
  10. Data-efficient Pattern Detection in Elite Soccer
  11. Plenary lecture entitled: "Wavelet Packets for Applications in Signal Processing and Control Systems"
  12. Presentation of the paper entitled: "Combining a PI Controller with an Adaptive Feedforward Control in PMSM"
  13. Predicting dropout in Internet Interventions - A framework to analyse user journey data
  14. Institutional Proxy Representatives of Future Generations: A Comparative Analysis of Types and Design Features

Publications

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