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.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Kiyoshi NISHIYAMA, "Nonlinear Estimation of Harmonic Signals" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 5, pp. 1021-1027, May 2007, doi: 10.1093/ietfec/e90-a.5.1021.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.5.1021/_p
Copy
@ARTICLE{e90-a_5_1021,
author={Kiyoshi NISHIYAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Nonlinear Estimation of Harmonic Signals},
year={2007},
volume={E90-A},
number={5},
pages={1021-1027},
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.},
keywords={},
doi={10.1093/ietfec/e90-a.5.1021},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - Nonlinear Estimation of Harmonic Signals
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1021
EP - 1027
AU - Kiyoshi NISHIYAMA
PY - 2007
DO - 10.1093/ietfec/e90-a.5.1021
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2007
AB - 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.
ER -