Deterministic signal extraction method based on synchronous average principal component time-frequency analysis

Abstract

The invention discloses a deterministic signal extraction method based on time domain average principal component construction and time-frequency joint analysis, which belongs to the field of mechanical signal processing and comprises the following steps of: (1) constructing a factor matrix; (2) constructing a TSA matrix; (3) conducting matrix rearrangement based on energy indexes; (4) performingmatrix dimension reduction based on the difference spectrum and the energy ratio; (5) performing matrix decomposition based on principal component analysis; (6) performing matrix reconstruction basedon principal component energy indexes; (7) carrying out frequency domain analysis on principal components of each order of the TSA; and (8) carrying out time-frequency analysis on principal componentsof each order of the TSA. According to the invention, deterministic signals can be effectively extracted under the condition of low signal-to-noise ratio.

Description

Technical field [0001] The invention belongs to the field of mechanical signal processing, and in particular relates to a deterministic signal extraction method based on time-domain average principal component construction and time-frequency joint analysis. Background technique [0002] Mechanical equipment will generate information-rich sound and vibration time-domain signals during operation. At present, there are three main types of signal analysis methods for mechanical equipment: time-domain analysis, frequency-domain analysis, and time-frequency analysis. [0003] Time domain analysis is mainly divided into two categories. The first type of time domain analysis method is statistical parameter analysis. The target time domain signal is selected and various statistical parameters corresponding to it are calculated for analysis, such as average value, peak value, peak-to-peak value, standard deviation, Variance, root mean square, etc. The second type of time-domain analysis met...

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Problems solved by technology

[0006] Among the above methods, the time-domain method can only obtain time-domain information, but cannot obtain frequency-domain information, which has relatively large limitations; while frequency-domain analysis can extract components with definite periodicity in signals, but it is not suitable for non-stationary signal analysis, and mechanical The noise and vibration signals in the actual operation of equipment are often non-stationary signals; time-frequency analysis can obtain two-dimensional representations of time and frequency, but there are often defects in the mutual limitation of time resolution and frequency resolution, and in deterministic signal signals When the noise ratio is low, it is difficult to effectively extract deterministic signals by time-frequency analysis methods, and the operating status and fault information of machinery are often reflected as specific deterministic signals

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