Nonlinear Estimation of Harmonic Signals

Authors:
Kiyoshi Nishiyama
Affiliations:
-
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2007

Citing 4
Cited 0

Fundamentals of statistical signal processing: estimation theory

Fundamentals of statistical signal processing: estimation theory
A nonlinear filter for estimating a sinusoidal signal and itsparameters in white noise: on the case of a single sinusoid

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Nonlinear filtering methods for harmonic retrieval and model orderselection in Gaussian and non-Gaussian noise

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Short-time Fourier analysis via optimal harmonic FIR filters

IEEE Transactions on Signal Processing

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Abstract

A nonlinear harmonic estimator (NHE) is proposed for extracting a harmonic signal and its fundamental frequency in the presence of white noise. This estimator is derived by applying an extended complex Kalman filter (ECKF) to a multiple sinusoidal model with state-representation and then efficiently specializing it for the case of harmonic estimation. The effectiveness of the NHE is verified using computer simulations.