Failure Characteristics Analysis and Fault Diagnosis for Liquid Rocket Engines by Wei Zhang

Author:Wei Zhang
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

[x] = max{n ≤ x|n ∈ Z}, When j is the maximum, as is corresponding to the high semi-spectrum of the signal, namely, fs/4 ~ fs/2, where fs is the sampling frequency. Figure 6.17 illustrates the harmonic transform of a simulation signal.

Fig. 6.17harmonic wavelet transform of the simulation signal. a Harmonic signal and corresponding spectrum. b Real and image part of the signal in sub-figure (a)

3.Harmonic wavelet packet transform

Based on the expansion of the wavelet basis function, the spectral definition of the wavelet packet transform can be presented as

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