FREQUENCY EXTRACTION BASED ON ADAPTIVE FOURIER SERIES - Application to Robotic Yoyo

Tadej Petrič, Andrej Gams, Leon Žlajpah

2010

Abstract

We present a novel method to obtain the basic frequency of an unknown periodic signal with an arbitrary waveform. The method originates from nonlinear dynamical systems for frequency extraction, which are based on adaptive frequency oscillators in a feedback loop. While using several adaptive frequency oscillators in a loop results in extraction of separate frequency components, our method extracts the basic frequency of the input signal without any additional logical operations. The proposed method uses a whole Fourier series representation in the feedback loop. In this way it can extract the frequency and the phase of an unknown periodic signal, in real-time, and without any additional signal processing or preprocessing. The method also determines the Fourier series coefficients and can be used for dynamic Fourier series implementation. It can be used for the control of rhythmic robotic tasks, where only the extraction of the fundamental frequency is crucial. This is demonstrated on a highly nonlinear and dynamic task of playing the robotic yo-yo.

Paper Citation

in Harvard Style

Petrič T., Gams A. and Žlajpah L. (2010). FREQUENCY EXTRACTION BASED ON ADAPTIVE FOURIER SERIES - Application to Robotic Yoyo . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-8425-01-0, pages 32-38. DOI: 10.5220/0002933900320038

in Bibtex Style

@conference{icinco10,
author={Tadej Petrič and Andrej Gams and Leon Žlajpah},
title={FREQUENCY EXTRACTION BASED ON ADAPTIVE FOURIER SERIES - Application to Robotic Yoyo},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2010},
pages={32-38},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002933900320038},
isbn={978-989-8425-01-0},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - FREQUENCY EXTRACTION BASED ON ADAPTIVE FOURIER SERIES - Application to Robotic Yoyo
SN - 978-989-8425-01-0
AU - Petrič T.
AU - Gams A.
AU - Žlajpah L.
PY - 2010
SP - 32
EP - 38
DO - 10.5220/0002933900320038