基于分数阶Gabor变换的LFM回波信号压缩采样方法

doi:10.12305/j.issn.1001-506X.2022.04.05

Abstract

Abstract:

In order to overcome the poor reconstruction performance of current compressive sampling methods, a novel compressive sampling method based on the fractional Gabor transform is proposed for linear frequency modulated (LFM) echo signals. Firstly, utilizing the difference in time delay of different echoes, the fractional Gabor transform is introduced to achieve the sparse representation for LFM echo signals, and the corresponding completeness condition is analyzed. Then, according to the low-pass filter implementation of fractional Gabor transform, compressive sampling system is designed for LFM echo signals. And the signal reconstruction model is also established. Finally, the effectiveness of the proposed method is verified by simulation and application examples. Experimental results show that compared with the existing compressive sampling methods, the proposed method has lower reconstruction error and better reconstruction performance.

Key words: fractional Gabor transform, linear frequency modulated (LFM), echo signal, compressive sampling

CLC Number:

TN911

Qiang WANG, Chen MENG, Cheng WANG, Rui ZHANG. Compressive sampling method based on fractional Gabor transform for LFM echo signals[J]. Systems Engineering and Electronics, 2022, 44(4): 1103-1112.

Figures/Tables 11

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方法	通道个数	单通道采样频率/MHz	总采样频率/MHz	单通道采样点数	总采样点数	RE		LRE
方法	通道个数	单通道采样频率/MHz	总采样频率/MHz	单通道采样点数	总采样点数	无噪声	SNR=20 dB	无噪声	SNR=20 dB
1	1	1 040	1 040	624	624	1.44×10^-1	1.60×10^-1	2.43×10^-3	6.90×10^-3
2	26	40	1 040	24	624	4.49×10^-1	8.03×10^-1	5.30×10^-3	2.05×10^-1
3	26	40	1 040	24	624	1.96×10^-2	4.45×10^-2	2.29×10^-4	4.50×10^-4

参数	数值
雷达采样频率/MHz	32.317
方位向采样频率/Hz	1 256.98
雷达中心频率/GHz	5.3
光速/(m/s)	2.997 9×10⁸
雷达脉冲调频率/(MHz/s)	721.35
方位向调频率/Hz	1 733

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Compressive sampling method based on fractional Gabor transform for LFM echo signals

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