Kendall's advanced theory of statistics
Kendall's advanced theory of statistics
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Ten lectures on wavelets
A friendly guide to wavelets
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
IEEE Transactions on Fuzzy Systems
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In the present paper several statistical and fuzzy methods for identifying anomalies in mechanical systems have been proposed. In order to perform the study, more than 1000 tests, each with predefined characteristics and goals, have been carried out by means of dynamical test-bed based on a two circular-arc cam-follower mechanism. The signals, composed of acceleration of the follower and the applied torque, sampled electronically, were grouped into 4 main families and, for each family, into 4 groups depending to their features. All the signals were decomposed, by means of discrete wavelet transform, into 10 orthogonal components. The energetic content and many statistical parameters were calculated for each component. Afterward, the result of their classification performed by a multivariate statistical analysis (i.e., discriminant analysis) was compared to the one obtained by applying a fuzzy algorithm.