Adaptive Fourier Analysis in the Case of Data Loss

The Adaptive Fourier Analyzer has been developed for measuring the harmonic components of periodic signals with changing or unknown fundamental frequency. Vibration analysis of rotating machines, active noise control or harmonic component measurements of the lines are typical applications. Nowadays, radio or Internet-based communication is gaining popularity in various fields, e.g., in signal processing. Due to the not reliable real-time communication, some of the data are lost during the transmission. In this paper, an extension of the Adaptive Fourier Analyzer is presented which is able to handle data loss. The paper briefly presents the mathematical description of the data loss and the modification of the Resonator-Based Observer for data loss. The novelty of this paper is the modification of the Adaptive Fourier Analyzer for signals with missing samples. The performance of the algorithm is demonstrated with simulation and measurement examples.