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Calculating Internal Avalanche Velocities from Correlation with Error Analysis
Authors:J N McElwaine  F Tiefenbacher
Institution:1. Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA, UK
2. Swiss Federal Institute for Snow and Avalanche Research, Flüelastrasse 11, CH-7260, Davos Dorf, Switzerland
Abstract:Velocities inside avalanches have been calculated for many years by calculatingthe cross-correlation between opto-electronic sensors using a method pioneered by inlinecite Nishimura et al. and Dent et al. Their approachhas been widely adopted but there has been little discussion of the optimal designof such instruments and the best analysis techniques. This paper discusses some ofthe different sources of error that arise and how these can be mitigated. A statisticalframework that describes such instruments is developed and used to quantify the errors.
Keywords:
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