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Double Spectral theorem and Two Type Magnitude Coherence Functions
2005 IEEE Engineering in Medicine and Biology 27th Annual Conference, 2005Studying frequency domain representation for the coherence between two signals is an important basic theoretical problem in the fundamental theories of signal processing. However, magnitude-squared coherence function (MSCFs) could lose some phase information.
Y, Liu +5 more
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Analysis of Auditory Evoked Potentials by Magnitude-Squared Coherence
Ear and Hearing, 1989Evoked potentials are usually analyzed in the time domain (voltage versus time). The most familiar frequency-domain measure, the power spectral density function, displays power as a function of frequency but doesn't distinguish signal power from noise power.
R A, Dobie, M J, Wilson
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Measures of generalized magnitude-squared coherence: Differences and similarities
Journal of the Franklin Institute, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malekpour, Sheida +2 more
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Electroencephalography and Clinical Neurophysiology, 1994
The relative performance of phase coherence (PC) and magnitude-squared coherence (MSC) for detection of steady-state evoked potentials was studied using 40 Hz auditory evoked potentials (AEPs) in 10 normal human subjects. In addition, simulation experiments were carried out to determine the effects of signal amplitude and phase variability on detection
R A, Dobie, M J, Wilson
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The relative performance of phase coherence (PC) and magnitude-squared coherence (MSC) for detection of steady-state evoked potentials was studied using 40 Hz auditory evoked potentials (AEPs) in 10 normal human subjects. In addition, simulation experiments were carried out to determine the effects of signal amplitude and phase variability on detection
R A, Dobie, M J, Wilson
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Estimation of time-varying magnitude squared coherence functions
Proceedings of ICICS, 1997 International Conference on Information, Communications and Signal Processing. Theme: Trends in Information Systems Engineering and Wireless Multimedia Communications (Cat. No.97TH8237), 2002A new method for computing an estimate of the time-varying magnitude squared coherence (MSC) between two data sequences is presented. The method estimates the time-varying MSC function by using a modulator and a lowpass filter and is compared with a method using a bandpass filter and the Hilbert transform through computer simulation.
null Do-Nyeon Kim +2 more
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Exact Confidence Interval for Magnitude-Squared Coherence Estimates
IEEE Signal Processing Letters, 2004The magnitude-squared coherence function is widely used in many applications. The approximate confidence interval is only reliable for large data segments. In this letter, an iterative algorithm is provided to compute the exact confidence interval from the cumulative distribution function.
Wang, Shou Yan, Tang, Meng Xing
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A parametric method for computing magnitude squared coherence
ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005The magnitude squared coherence (MSC) is widely used as a measure of the similarity between a pair of signals. It is normally defined as the squared magnitude of the two signals' cross-spectrum divided by the product of their autospectra. Many methods exist for computing the MSC.
O. Soloman, J. Cadzow, S. Stearns
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Maximum likelihood estimation of magnitude-squared coherence
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1988A maximum-likelihood estimator (MLE) for coherence is derived. The MLE should be unbiased, and there should be no unbiased estimator with smaller variance. An approximation to the MLE, valid for coherence estimates with a large number of degrees of freedom (DOF), is also derived. The two MLE algorithms and two estimators discussed in earlier literature
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Bias of the estimate of magnitude-squared coherence
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1976A simple accurate approximation for the bias of the estimate of magnitude-squared coherence (MSC) is derived from exact theoretical expressions. Simulation results corroborate the exact and approximate expressions, all of which differ from a previously published simulation result on this topic.
A. Nuttall, G. Carter
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Double Spectral theorem and Two Type Magnitude-Squared Coherence Functions
2005 IEEE Engineering in Medicine and Biology 27th Annual Conference, 2005Studying frequency domain representation for the coherence between two signals is an important basic theoretical problem in the fundamental theories of signal processing. However, the old magnitude-squared coherence function (OMSCF) has been proved identical to 1, so that to cannot be used to extract any coherence information.
Z X, Xie +6 more
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