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 May 27, 2023

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.