基于Z变换和改进FRI的LFM信号参数估计方法研究

doi:10.12305/j.issn.1001-506X.2024.07.07

Abstract

Abstract:

In order to complete the sparse sampling of linear frequency modulation (LFM) signals and use the sparse data to estimate the original signal parameters, we have learned the parameter estimation methods of finite rate of innovation (FRI) sampling and annihilating filter, on this basis, we propose a parameter estimation method based on mathematical model combined with Z-transform. Once the signal expression form is consistent with the structure of the mathematical model, the signal parameters can be estimated by the proposed method. Therefore, we used an autocorrelation delay structure to process the LFM signal, and the output results can be consistent with the mathematical model. It is demonstrated that the proposed method for estimating the parameters of LFM signals is theoretically feasible. The effectiveness of the proposed method is verified by simulation and measured data. The theoretical and experimental results show that the method can realize the parameter estimation of LFM signal only with 4 sampling points, and the parameter estimation error in the experiment is within 3%, which greatly improves the parameter estimation efficiency of FRI sampling.

Key words: linear frequency modulation (LFM) signal, finite rate of innovation (FRI), annihilating filter, Z-transform, parameter estimation

CLC Number:

TN91
TN92

Shuo MENG, Chen MENG, Cheng WANG. Research on LFM signal parameter estimation method based on Z-transform and improved FRI[J]. Systems Engineering and Electronics, 2024, 46(7): 2228-2236.

Figures/Tables 14

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a_n	$\tilde{a}_n$	u_n	$\tilde{u}_n$
2	1.999	1	1.000
3	3.002	2	1.999
4	3.994	3	3.000
5	5.011	4	3.999
6	5.988	5	5.000
7	7.007	6	5.999
8	7.998	7	7.000

方法	通道数量	采样频率/MHz	采样点数	重构RMSE	时间/s
RD	1	50	500	0.045	38.7
MWC	10	20	2 000	0.019	102.3
FRI	1	0.4	4	0.023	10.2

方法	通道数量	采样频率/MHz	采样点数	重构RMSE	时间/s
RD	1	50	1 021	0.065	52.7
MWC	10	20	8 041	0.027	167.9
FRI	1	0.196	4	0.031	13.3

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Research on LFM signal parameter estimation method based on Z-transform and improved FRI

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