17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper TuP09.5

Sira-Ramirez, Hebertt (Cinvestav-IPN), Trapero-Arenas, Juan Ramon (Univ. de Castilla La Mancha), Feliu Battle, Vicente (Univ. de Castilla La Mancha)

Frequency Identification in the Noisy Sum of Two Sinusoidal Signals

Scheduled for presentation during the Regular Session "Linear System Identification II" (TuP09), Tuesday, July 25, 2006, 17:00−17:25, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on June 23, 2024

Keywords Linear system identification, Closed loop identification, Algebraic systems theory

Abstract

An algebraic identification approach is used for the fast and reliable determination of the defining frequency parameters of two sinusoidal signals of different, unknown, amplitudes, phases and frequencies from their noise perturbed measured sum. The proposed method uses the algebraic derivative approach, defined in the frequency domain, yielding exact formulae for the unknown parameters when interpreted in a noise-free time domain environment. These formulae are synthesized in terms of time-varying linear unstable filters in combination with classical low-pass filters or iterated integrations. The fast convergent computations are performed in a time interval which is only a fraction of the first full cycle of the measured signal.