**Abstract**

The possibility of using a rhythmogram and a scatterogram for bearings of diagnosing a gas turbine engine and its components is discussed. Rhythmogram and scatterogram evaluate the quasi-periodicity of the technical system of a gas turbine engine. Rhythmogram and scatterogram were obtained using the method developed by us for processing quasi-periodic pulse signals. The method is based on the principles of the theory of optimal filtering, the theory of wavelet transform, and the Hermite transform. The wavelet transform is considered as a cross-correlation function. The Gauss-Hermite functions are used as the basis for wavelet analysis. The effectiveness of the diagnostic method is demonstrated by the example of the operation of the bearing supports of a gas turbine engine and the engine as a whole.

**Keywords:** gas turbine engine, rotor bearings, hermit transform, wavelet transform, optimal filtering, rhythmogram, scatterogram
