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Specific-frequency digital signal extraction method based on Fourier series

A Fourier series, digital signal technology, applied in frequency measurement devices, spectrum analysis/Fourier analysis, etc., can solve the problems of difficult frequency continuous change or frequency signal, slow response speed, etc., to achieve easy implementation, small calculation amount , the effect of fast operation

Active Publication Date: 2019-06-07
SOUTHWEST JIAOTONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The existing notch or bandpass filter technology has a slow response speed, and it is difficult to extract signals with continuous frequency changes or frequency jumps

Method used

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  • Specific-frequency digital signal extraction method based on Fourier series
  • Specific-frequency digital signal extraction method based on Fourier series
  • Specific-frequency digital signal extraction method based on Fourier series

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Embodiment Construction

[0025] The specific embodiments of the present invention are described below so that those skilled in the art can understand the present invention, but it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, as long as various changes Within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.

[0026] 1. Suppose there is a periodic input signal x(t) whose fundamental angular frequency is ω, its Fourier series can be expressed as

[0027]

[0028] in,

[0029]

[0030] By calculating the coefficient a of the nth component of the Fourier series n with b n , then the nth component in x(t) can be synthesized by the following formula:

[0031] the y n (t)=a n cos(nωt)+b n sin(nωt) (3)

[0032] the y n The...

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Abstract

The invention discloses a specific-frequency digital signal extraction method based on the Fourier series. With sine and cosine function values stored in a microprocessor, five-times multiplication and addition operations are performed within each sampling cycle to extract a specific frequency signal accurately. The method has the following beneficial effects: the method is suitable for a single-phase or multi-phase system; the specific frequency signal is extracted accurately and rapidly when the frequency continuously changes or jumps; and a target signal can be extracted accurately while the amplitude changes continuously. The method is easy to perform; the computing load is small; the operation speed is fast; and the method is realized by the low-cost microprocessor.

Description

technical field [0001] The invention belongs to the technical field of signal processing and control, and in particular relates to a method for extracting a specific sub-frequency digital signal based on Fourier series. Background technique [0002] In the field of signal system, power system or AC motor control, it is often necessary to extract single-phase or multi-phase electrical signals at specific frequencies. The existing notch wave or bandpass filter technology has a slow response speed, and it is difficult to extract signals with continuously changing frequency or frequency hopping. Contents of the invention [0003] The object of the present invention is to provide a fast and accurate specific sub-frequency signal extraction technology based on Fourier series to solve the above-mentioned shortcomings in the prior art. This technology is suitable for single-phase or multi-phase systems. It can quickly and accurately extract specific frequency signals when the fre...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R23/02G01R23/16
Inventor 杨顺风
Owner SOUTHWEST JIAOTONG UNIV