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Abstract
Union resolution performance of FM (frequency modulation) parameter based on Radon-Wigner transform (RWT) for multi-component LFM (linear frequency modulation) signals is studied. Firstly, the RWT output expression is offered, and the independent resolution performances of initial frequency and chirp rate are analyzed. Secondly, the RWT output approximate analytic expression is given based on quadratic Taylor's series expansion, and the contour property is analyzed. Contour can be used to picture the union resolution performance of FM parameter, and 2-D resolution performance is studied based on approximate analytic expression, and the union resolution expression of FM parameter and resolution ellipse are offered. The simulation results validate the union resolution expression, and show that the union resolution can improve the resolution performance of multi-component LFM signals, contrasted with absolute resolution performance. The paper can help the study of LFM parameter estimation and resolution performance.
Highlights
The LFM signal is widely applied in domains such as radar, correspondence and sound navigation
Contour can be used to picture the union resolution performance of FM parameter, and 2-D resolution performance is studied based on approximate analytic expression, and the union resolution expression of FM parameter and resolution ellipse are offered
The Radon-Wigner transform (RWT) output approximate analytic expression is given by Taylor series expansion
Summary
The LFM signal is widely applied in domains such as radar, correspondence and sound navigation. The cross term can be suppressed effectively through the line integral in RWT, which is used to estimate the initial frequency and chirp rate of LFM signals, ulteriorly, the amplitude and phase information can be estimated. Simulation results in literature [8] show that the RAT chirp rate resolution is 1.5 T 2 and 1.4 T 2 for the square-law and enveloping ambiguity respectively. The unite resolution of RWT FM parameter (initial frequency and chirp rate) for the multi-component signal is related with SNR (signal to noise ratio), signal form and processing method. The RWT output expression is given, and the independent resolutions of initial frequency and chirp rate are analyzed. The simulation results indicate that the union resolution of FM parameter is higher than independent resolution
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