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Compression-sensing-based signal reconstruction and de-noising method of ground penetrating radar

A technology of ground penetrating radar and signal reconstruction, applied in radio wave measurement systems, instruments, etc., can solve problems such as general effects

Active Publication Date: 2016-03-16
HOHAI UNIV
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Problems solved by technology

Common denoising methods include frequency filtering, wavelet denoising, etc. These methods have certain effects in practical applications, but these denoising methods have their own applicability, especially in the case of strong noise background or low sampling rate data. General effect

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  • Compression-sensing-based signal reconstruction and de-noising method of ground penetrating radar
  • Compression-sensing-based signal reconstruction and de-noising method of ground penetrating radar
  • Compression-sensing-based signal reconstruction and de-noising method of ground penetrating radar

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Embodiment Construction

[0036] Embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings;

[0037] Such as figure 1 As shown, the ground penetrating radar signal reconstruction and denoising method based on compressive sensing is realized by the following four main steps:

[0038] (1) Establish a complete dictionary of sparse representation of the input signal, where the most common DCT dictionary is used;

[0039] (2) Construct the sampling matrix R by using the corresponding relationship between the missing GPR data and the complete data;

[0040] (3) From the measurement matrix, complete dictionary and measurement data, use the reconstruction algorithm—orthogonal matching pursuit algorithm (ROMP algorithm) to reconstruct the sparse coefficient α;

[0041] (4) Use the reconstructed sparse coefficient α to perform inverse transformation to construct the complete signal x.

[0042] There are two types of complete dictionaries for sparse re...

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Abstract

The invention discloses a compression-sensing-based signal reconstruction and de-noising method of a ground penetrating radar. The method comprises the following steps: establishing a complete dictionary for input signal sparse expression; constructing a sampling matrix based on a correspondence relation between missing ground penetrating radar data and complete data; according to a measurement matrix, the complete dictionary, and measurement data, reconstructing a sparse coefficient by using an orthogonal matching tracking algorithm; and carrying out inverse transformation by using the reconstructed sparse coefficient to construct a complete signal. The provided method is a novel ground penetrating radar data processing method. With the method, the missing ground penetrating radar data can be recovered correctly and noises in the ground penetrating radar can be eliminated effectively. Therefore, the provided method is a multi-purpose processing method.

Description

technical field [0001] The invention belongs to the field of earth exploration and information technology, and in particular relates to a ground penetrating radar signal reconstruction and denoising method based on compressed sensing. Background technique [0002] Compressed sensing is a new sampling theory, which uses the sparse characteristics of the signal, and obtains the source signal through random sampling and reconstruction algorithm under the condition that the sampling rate is much smaller than that of Nyquist. It is a new signal processing theory based on matrix analysis, statistical probability theory and optimization theory. This theory avoids high-speed sampling, can sample and process signals at a low rate, can significantly reduce the cost of data storage and transmission, and has brought new impacts to the field of signal processing. After the theory was put forward, it has received high attention in many fields such as information theory, medical imaging, ...

Claims

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Application Information

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IPC IPC(8): G01S7/36G01S7/02
CPCG01S7/023G01S7/36
Inventor 许军才任青文沈振中张卫东
Owner HOHAI UNIV
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