Signals representation on energetic plane based on Teager-Kaiser energy operator

Development of complicated machines and need for maintaining high efficiency and safety of their work is main reason for development of new and more reliable monitoring techniques. One of the main aims of condition monitoring is detection of early stage of failure and monitoring of its development [1]. Such techniques should be sensitive for change in diagnostic signal due to arise of failure. Paper presents exemplary representations of signals types on energetic plane calculated using Teager-Kaiser energy operator (TKEO). First basic information on TKEO is presented. Next energetic plane is introduced and models of signals are showed. In final section of the paper example of model of signal containing disturbance related with mashing is presented. Teager-Kaiser energy operator, due to is properties, can be used for detection of transient events such as impulses resulting from disturbances of mating of teeth in gearboxes. Such a disturbance of mating is related with decrease of stiffness of given tooth due to crack or development of pitting [2]. Sensitivity of Teager-Kaiser energy operator allow for earlier detection of transient disturbances then use of raw data methods such as Hilbert transform demodulation.