The optimizing demodulation new method of energy operator arithmetic and the research of comparison with Hilbert transformation

The current main research aim of fault diagnosis is to find a new method which have more excellent integrated ability in such aspects as precision, sensitivity, reliability and compact algorithm and so on. Be enlightened from some phenomena on the analysis of the generating mechanism of speech signal, the energy operator separation algorithm (EOSA) is put forward as a new demodulation method. This approach uses a nonlinear differential operator, through optimizing difference equation: Choosing the unit impulse response length of filter and fixing the weighting coefficient for input points, a new approach that the optimizing energy operator separation algorithm (OEOSA) is obtained.,and been compared with Hilbert transformation, finally, draw the conclusion that this arithmetic is a simple, fast, exact and instantaneousness strong method, Since Hilbert transformation could be applied to demodulation analysis for mechanical signal, so it provide this method could also be applicable for detecting machine equipment..