Paper Info
Title
Imprecise expectations for imprecise linear filtering
Abstract
In most sensor measure based applications, the raw sensor signal has to be processed by an appropriate filter to increase the signal-to-noise ratio or simply to recover the signal to be measured. In both cases, the filter output is obtained by convoluting the sensor signal with a supposedly known appropriate impulse response. However, in many real life situations, this impulse response cannot be precisely specified. The filtered value can thus be considered as biased by this arbitrary choice of one impulse response among all possible impulse responses considered in this specific context. In this paper, we propose a new approach to perform filtering that aims at computing an interval valued signal containing all outputs of filtering processes involving a coherent family of conventional linear filters. This approach is based on a very straightforward extension of the expectation operator involving appropriate concave capacities.
Year
DOI
Venue
2010
10.1016/j.ijar.2010.06.003
Int. J. Approx. Reasoning
Keywords
Field
DocType
conventional linear filter,filter output,choquet integral,linear time-invariant filtering,expectation,non-additive confidence measure,sensor measure,possible impulse response,appropriate concave capacity,impulse response,linear filtering,appropriate impulse response,raw sensor signal,imprecise expectation,sensor signal,interval valued signal,non-additive confidence measure.,appropriate filter,linear time invariant,signal processing,signal to noise ratio
Impulse response,Digital filter,Linear filter,Signal-to-noise ratio,Infinite impulse response,Algorithm,Filter (signal processing),Impulse (physics),Artificial intelligence,Finite impulse response,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
51
8
International Journal of Approximate Reasoning
Citations 
PageRank 
References 
8
0.69
22
Authors
2
Name
Order
Citations
PageRank
A. Rico180.69
O. Strauss215321.17