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A Sparse Decomposition Method of Frequency Hopping Signal Based on Compressive Sensing

A technology of frequency hopping signal and compressed sensing, which is applied in the field of sparse decomposition of frequency hopping signal based on compressed sensing, can solve the problems of high computational complexity and low algorithm execution efficiency, and achieve the effect of low time cost and obvious advantages of computational efficiency

Active Publication Date: 2021-10-22
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

[0006] The above method only considers the iterative matching of single atoms in the redundant dictionary. In the process of searching for the atom with the highest matching degree, the MP algorithm needs to perform the inner product operation on the redundant dictionary column by column, and select one each time to match the signal or signal residual. The atom with the highest degree leads to a large number of repeated calculations, which makes the algorithm execution efficiency low and the calculation complexity high

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  • A Sparse Decomposition Method of Frequency Hopping Signal Based on Compressive Sensing
  • A Sparse Decomposition Method of Frequency Hopping Signal Based on Compressive Sensing
  • A Sparse Decomposition Method of Frequency Hopping Signal Based on Compressive Sensing

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Embodiment 1

[0049] The frequency hopping signal is a non-stationary signal whose frequency changes with time under the control of a pseudo-random sequence. The set signal is based on a typical non-stationary signal with a carrier frequency that changes with time under the control of a pseudo-random sequence, so as to establish a frequency hopping signal The structural model of the joint time domain and frequency domain of is expressed as:

[0050]

[0051] in, for width T H The rectangular window of , expressed as: S represents the signal power, T represents the observation time, that is, the signal duration, T H Indicates the skip cycle, f k Indicates the center frequency of the k-th hop, and all hopping frequencies form a frequency hopping frequency set; α indicates the proportion of the complete frequency hopping time, and the first hopping time is expressed as αT H , the jump time of the kth jump is denoted as αT H +(k-1)T H ; n(t) represents additive noise.

[0052] Based...

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Abstract

The invention belongs to the field of analysis and processing of frequency hopping signals in signal processing, and particularly relates to a sparse decomposition method for frequency hopping signals based on compressed sensing, including: based on compressed sensing theory and the sparsity time-frequency structure characteristics of frequency hopping signals, constructing Gabor redundant dictionary suitable for the structural characteristics of frequency hopping signals; non-coherent k-means clustering is performed on the Gabor redundant dictionary based on the coherent distance, and the sub-dictionary obtained after decomposing the Gabor redundant dictionary is output; Select m best matching atomic groups from sub-dictionaries to form a sparsely decomposed atomic set; when the signal-to-noise ratio of the algorithm of the present invention is 10dB, the time consumption of the traditional matching method is about 100s, while the time consumption is only about 15s. As the noise ratio increases, the advantages of the present invention's computing efficiency will be more obvious, and the time cost will be lower.

Description

technical field [0001] The invention belongs to the field of analysis and processing of frequency hopping signals in signal processing, and in particular relates to a sparse decomposition method of frequency hopping signals based on compressed sensing. Background technique [0002] The frequency hopping signal based on the carrier hopping in a specific sequence in a wide frequency band can not only overcome the multipath fading problem caused by complex channel environments, but also has strong confidentiality and anti-interference performance, and can communicate accurately in complex electromagnetic environments. In today's communication countermeasure system, frequency hopping reconnaissance is very important. Accurate and real-time analysis and estimation of the parameters of the enemy's frequency hopping signal are related to whether military intelligence can be obtained in time, and then efficient war decision-making. Therefore, it is of great practical significance to...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04B1/7156H04B1/713G06K9/62
Inventor 李云王苏吴广富夏士超刘叶
Owner CHONGQING UNIV OF POSTS & TELECOMM
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