Electrical Signal Analysis Through Orthogonal Decomposition for Kalman Filter Tracking

Abstract

This paper introduces a new method for analyzing electrical signals useful to track harmonics amplitude through the use of a simple linear Kalman Filter with high accuracy and computational efficiency. The key idea in this paper is based on the vector extraction properties of the orthogonal base decomposition of the electrical signal which usually correlates with noise and different signal modes depending from its physical origin. This vector extraction preserves a proportional time-frequency energy relation for each harmonic’s magnitude, from the which we can propose a discriminating criterion related to this method accuracy, validated here through The Parseval’s Theorem.

Keywords

• Harmonics
• voltage
• current
• electrical signal analysis
• orthogonal vector
• signal energy