The variance of non-parametric errors-in-variables estimates
Allbwn ymchwil: Cyfraniad at gynhadledd › Papur › adolygiad gan gymheiriaid
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2004. 6027-6032 Papur a gyflwynwyd yn 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), Maui, Yr Unol Daleithiau.
Allbwn ymchwil: Cyfraniad at gynhadledd › Papur › adolygiad gan gymheiriaid
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T1 - The variance of non-parametric errors-in-variables estimates
AU - Heath, W.P.
PY - 2004/3/15
Y1 - 2004/3/15
N2 - Frequency response functions (FRF) measured by taking the ratio of the output to the input Fourier coefficients of the steady state response of the system to a periodic excitation are considered. Under assumptions of additive Gaussian noise on both the inputs and outputs the variance of such measurements is infinite. If an exclusion zone is applied the variance can be rendered finite. An expression for the variance, which includes the case where the input and output noise sources are correlated, is given. The expression is useful for the estimate without exclusion zone over a wide range of input signal to noise ratio.
AB - Frequency response functions (FRF) measured by taking the ratio of the output to the input Fourier coefficients of the steady state response of the system to a periodic excitation are considered. Under assumptions of additive Gaussian noise on both the inputs and outputs the variance of such measurements is infinite. If an exclusion zone is applied the variance can be rendered finite. An expression for the variance, which includes the case where the input and output noise sources are correlated, is given. The expression is useful for the estimate without exclusion zone over a wide range of input signal to noise ratio.
U2 - 10.1109/CDC.2003.1272186
DO - 10.1109/CDC.2003.1272186
M3 - Papur
SP - 6027
EP - 6032
T2 - 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)
Y2 - 9 December 2003 through 12 December 2003
ER -