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A Signal Frequency Measurement Method Based on Two DFT Complex Spectral Lines

A technology of signal frequency and measurement method, applied in the direction of frequency measurement device, etc., can solve problems such as large amount of calculation

Active Publication Date: 2018-03-02
XUJI GRP +3
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0006] The purpose of the present invention is to provide a signal frequency measurement method based on two DFT complex spectral lines, in order to solve the problem of large amount of calculation in the prior art

Method used

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  • A Signal Frequency Measurement Method Based on Two DFT Complex Spectral Lines
  • A Signal Frequency Measurement Method Based on Two DFT Complex Spectral Lines
  • A Signal Frequency Measurement Method Based on Two DFT Complex Spectral Lines

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Embodiment 1

[0049] The specific steps are as follows:

[0050] Step (1): Sampling rate Fs=1500Hz, continuously intercepting signal x(n) of N=512 points, performing windowing processing to obtain windowing signal y(n), the formula of windowing processing is:

[0051] y(n)=x(n)·w(n),

[0052] Among them, w(n) selects the Hanning window function sequence of N=512 points, namely:

[0053]

[0054] Step (2): Carry out discrete Fourier DFT transform to windowed signal y (n), obtain discrete frequency spectrum Y (k), wherein discrete frequency serial number k=0:(N-1);

[0055] Step (3): In the range of discrete frequency numbers [15, 23], that is, within the range of corresponding frequencies [43.945, 67.383] Hz, search for the largest spectral line of |Y(k)| as the highest spectral line, and compare the largest spectral line Spectral lines on both sides |Y(k)| value, select the largest spectral line as the second highest spectral line, and record the discrete frequency number k of the two ...

Embodiment 2

[0065] Step (1): Sampling rate Fs=1500Hz, continuously intercepting signal x(n) of N=512 points, performing windowing processing to obtain windowing signal y(n), the formula of windowing processing is:

[0066] y(n)=x(n)·w(n),

[0067] Among them, w(n) selects the Blackman (BlackMan) window function sequence of N=512 points, namely:

[0068]

[0069] Step (2): Carry out discrete Fourier DFT transform to windowed signal y (n), obtain discrete frequency spectrum Y (k), wherein discrete frequency serial number k=0:(N-1);

[0070] Step (3): In the discrete frequency range [15,23], that is, within the range of the corresponding frequency [43.945,67.383]Hz, search for (|Re(Y(k))|+|Im(Y(k))| ) as the highest spectral line, and compare the (|Re(Y(k))|+|Im(Y(k))|) values ​​of the spectral lines on both sides of the largest spectral line, and select the largest spectral line as Sub-high spectral line, record the discrete frequency number k of the two spectral lines 1 and k 2 =k ...

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Abstract

The present invention relates to a signal frequency measurement method based on two DFT complex spectral lines, belonging to the field of signal parameter measurement technology. The method is characterized in that the processing procedure comprises that: a sampling signal is subjected to windowing processing and then is subjected to DFT transform, a highest spectral line and a second highest spectral line are searched through comparing spectral line amplitude values or the sum of real and imaginary part absolute values in a corresponding frequency search range, based on the operation of the sum of real and imaginary part absolute values of two spectral lines, offset parameters are obtained through a solution equation, or an inverse function formula or an approximation polynomial, and finally a signal frequency is measured. According to the method, multiplication and square root calculation are avoided in searching the highest spectral line and the second highest spectral line and calculating a middle parameter lambda, the signal frequency measurement algorithm realization is simplified, and the calculation speed is shortened.

Description

technical field [0001] The invention relates to a signal frequency measurement method based on two DFT complex spectral lines, and belongs to the technical field of signal parameter measurement. Background technique [0002] At present, the method of analyzing frequency signals based on discrete Fourier transform DFT or its fast algorithm FFT has been widely used. However, DFT has a barrier effect, that is, the actual signal frequency may not fall on the discrete spectral line, so it is necessary to use an interpolation algorithm to estimate the actual signal frequency. In the article "Improved Algorithm for Harmonic Analysis of Power System Using FFT" published in "Journal of China Electrical Engineering Society" Volume 23, Issue 6 in 2003, it is proposed that after adding windowed Fourier transform to the input discrete signal, by selecting the highest amplitude and The second highest two spectral lines, the method of interpolating the frequency of the measured signal. I...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R23/02
Inventor 黄明山李如意徐景涛钱波路长宝林向阳王晓换马晓东吴玉跃
Owner XUJI GRP