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Frequency hopping signal detection method based on fractional order wavelet transform and Hilbert-Huang transform

A technology of frequency hopping signal and wavelet transform, applied in the field of signal processing, to avoid the influence of window function and improve the estimation accuracy

Inactive Publication Date: 2019-07-26
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

The accuracy of frequency hopping signal detection is further improved, but wavelet transform is limited to analyzing signals in the time-frequency domain

Method used

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  • Frequency hopping signal detection method based on fractional order wavelet transform and Hilbert-Huang transform
  • Frequency hopping signal detection method based on fractional order wavelet transform and Hilbert-Huang transform
  • Frequency hopping signal detection method based on fractional order wavelet transform and Hilbert-Huang transform

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Embodiment

[0050] refer to figure 1 , a frequency-hopping signal detection method based on fractional wavelet transform and Hilbert-Huang transform, comprising the following steps:

[0051] 1) Input the frequency hopping signal to be processed: the signal model x(t) of the frequency hopping signal to be processed with noise can be expressed as formula (1):

[0052]

[0053] Among them, T is the observation time, T 0 is the take-off time, T h is the frequency hopping period, f k is the kth frequency hopping frequency, n(t) is additive Gaussian white noise,

[0054] 2) Set the range of the order p and the search step size, and perform fractional Fourier transform on the frequency hopping signal: set the range of the order p and the search step size, and for the collected frequency hopping signal x(t), Do fractional Fourier transform to get fractional domain signal X p (u) can be expressed as formula (2):

[0055]

[0056] Among them, K p(u,t) is the kernel function, that is,...

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Abstract

The invention discloses a frequency hopping signal detection method based on fractional order wavelet transform and Hilbert-Huang transform, which is characterized by comprising the following steps: 1) inputting a frequency hopping signal to be processed; 2) setting an order range and a search step length, and performing fractional Fourier transform on the frequency hopping signal; 3) obtaining anapproximation coefficient of the highest layer and a wavelet detail coefficient of each layer; 4) carrying out wavelet reconstruction; 5) obtaining a de-noised time domain signal; 6) obtaining new time domain signal; 7) carrying out EMD decomposition to obtain Hilbert spectrum; 8) obtaining frequency hopping period. According to the method, cross item interference does not exist, the influence ofa window function in a traditional time-frequency analysis process is avoided, multi-resolution analysis of the signal in a time-fractional domain is achieved, and the signal parameter estimation precision is further improved.

Description

technical field [0001] The invention relates to the field of signal processing, in particular to a frequency-hopping signal detection method based on fractional wavelet transform and Hilbert-Huang transform. Background technique [0002] Because of its high concealment, anti-interference and low interception rate, frequency hopping communication is widely used in the field of communication, but it also brings severe challenges to electronic reconnaissance. In electronic reconnaissance technology, signal detection and parameter estimation are usually required to complete signal reconnaissance. Correctly estimating the signal parameters of frequency hopping is one of the important components to complete signal de-hopping. Therefore, it is of great significance to study the detection and parameter estimation of frequency hopping signals. [0003] At present, the research on the detection of frequency hopping signals mainly focuses on the time-frequency analysis. However, the...

Claims

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Application Information

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IPC IPC(8): G06K9/00G01R23/16
CPCG01R23/16G06F2218/06G06F2218/08G06F2218/12
Inventor 谢跃雷吕国裴吴娟刘信蒋平易国顺蒋俊正欧阳缮廖桂生
Owner GUILIN UNIV OF ELECTRONIC TECH
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