Union Resolution Performance of Frequency Modulation Parameter Based on RWT for LFM Signals

Wenchen Li, Huimin Yang, Hong Li, Mei Dan, Xuesong Wang, Shunping Xiao

National Major Laboratory of Complex Electromagnetic Environmental Effects for Electronic Information System, Luoyang, China.
School of Electronic Science and Engineering, National University of Defense Technology, Changsha, China.

DOI: 10.4236/jsip.2012.34058                

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.

Keywords

Multi-Component LFM Signals; Radon-Wigner Transform (RWT); Resolution Ellipse; Union Resolution of FM Parameter; Half-Power Lobe Width

Conflicts of Interest

The authors declare no conflicts of interest.

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