Estimation of event-related signals in noise from polarity measurements
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This report is concerned with the estimation of noisy signals which are time-locked to the occurrence of a reference event (usually a stimulus). By employing a simple additive model for the signal and noise processes involved, it is shown that the signal may be estimated using polarity measurements taken from the noisy signal. This estimation method, called "polarity estimation", is compared with the more traditional method of estimation by signal averaging by both analytical means and by computer simulation experiments. Both the mathematical analysis and the computer simulation experiments indicate that the polarity estimation method works for small signal-to-noise ratios, but fails when the signal-to-noise ratio of the measurement data greatly exceeds unity; by contrast, this is when signal averaging works best. In addition, signal averaging is shown analytically and emperically to work better than polarity estimation from a mean-square error viewpoint.
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This work is available on request. You can request a copy at https://library.carleton.ca/forms/request-pdf-copy-thesis
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Copyright © 1979 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 1979
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