Signal analysis method at designated frequency

Abstract

The invention discloses a signal analysis method at a designated frequency. The signal analysis method comprises the following steps of: performing timing sampling on measured signals by taking T seconds as a sampling period to obtain sampled data; and setting N alternating current component values, setting frequency values of all alternating current components as positive numbers omega 1, omega 2,..., omega N which are gradually increased and not more than 2 pi / T, performing iteration to directly obtain a direct current component x0, alternating current components x1, x2,..., xN and orthogonal components z1, z2,..., zN, and calculating estimated amplitudes a1, a2,..., aN. According to the signal analysis method at the designated frequency, disclosed by the invention, as the iteration method is adopted for signal analysis, a computer can be conveniently utilized for realizing the signal analysis method, the adverse effects of the direct current components of the signals on the calculation of the alternating current components and the amplitudes thereof are eliminated, and the range of applications is further expanded.

Description

technical field [0001] The invention belongs to the technical field of signal analysis, and in particular relates to a signal analysis method for decomposing a signal into a DC component and multiple AC components of a specified frequency, and obtaining the orthogonal component and amplitude of each AC component. Background technique [0002] In engineering, it is often necessary to decompose signals such as voltage, current, sound, and vibration into DC components and multiple AC components of a specified frequency, and calculate the value of the DC component and the amplitude of each AC component, such as the harmonics and intervals of the power system. Harmonic analysis and vibration component analysis of mechanical vibration, etc. [0003] For this reason, several signal analysis methods have been proposed in the prior art. Although good results are obtained, there are still some deficiencies, such as: [0004] The signal analysis method based on the recursive Fourier t...

AI Technical Summary

Problems solved by technology

[0005] Signal analysis methods for continuous-time signals based on differential equations cannot be directly applied to computer systems;

[0006] Using the method of the first-order infinite impulse response (IIR) algorithm, the software programming is complicated, and the running time of each iteration may not be equal, so it is difficult to determine the value of the timing sampling period

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