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Paper data
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Title:
Statistical analysis of a linear relation between noisy repetitive signals

Author(s):
Faucon Gérard, LTSI, Université de Rennes1
Le Bouquin-Jeannès Régine, LTSI, Université de Rennes1
Conze Jean-Pierre, IRMAR, Université de Rennes1

Page numbers in the proceedings:
Volume I pp 225-228

Session:
Parameter Estimation and Statistical Signal Analysis

Paper abstract
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This paper deals with the coherence function in order to study relations between channels,in the context of auditory evoked potentials, and more specifically with the statistical analysis of a coherence estimator applied to signals having periodicity. In practice, a stimulus is periodically sent and a sufficient number of individual responses are recorded to increase the signal-to-noise ratio. In this way, a coherence estimator can be defined. Under some hypotheses, we get a simplified version of this quantity and we study its distribution an its mean. Simulations illustrate theoretical results. Then we estimate the mean value of the coherence computed on a given number of responses. We derive the bias versus the theoretical coherence and the number of individual responses.

Paper
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A PDF version is available here

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