Özet:

In this paper, a novel idea of organizing the search for similar fragments in vibro-acoustic signals (and not only) is proposed. The key point of this proposal is the task-oriented use of the signal smoothness parameter values (smoothness estimates). Firstly, the notion of smoothness of the signal is introduced; secondly, an iterative procedure for finding the signal smoothness estimates is presented; finally, some important properties of the signal smoothness estimates are formulated and proved. A special attention is paid to the necessary signal similarity condition; it is proved that small fragmentary changes in the vibro-acoustic signal lead to small changes in the signal smoothness parameter value. Preliminary experimental analysis results showed that the use of the necessary signal similarity condition might be of service in gear fault diagnosis, in fractal forecasting of real acoustical time series, in speeding-up some computational processes associated with interpolation of vibro-acoustic signals, data mining, etc.

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