A Sinusoidal Frequency Modulation Fourier-Bessel Transform and its Application to Micro-Doppler Feature Extraction

Abstract

In this paper, a Sinusoidal Frequency Modulation Fourier-Bessel Transform (SFMFBT) is proposed for micro-Doppler (m-D) target feature extraction. Initially, the definition of SFMFBT is given, and then, some of its properties are analyzed. A method to reduce frequency extraction error is then introduced based on error analysis. Finally, some issues in the frequency extraction of discrete signals are discussed. After comparing with the values of Fourier-Bessel Transform (FBT), SFMFBT introduces the parameter k-resolution into the kernel function of FBT so that accuracy of the signal decomposition is distinctly improved. In addition, from the error analysis in SFMFBT, Bessel-based signal decomposition methods can be used for feature extraction, whose application scope is extended. Simulation results verify the effectiveness of the proposed method for a group m-D target and also verifies its robustness when SNR>0 dB.

Keywords

• Micro-Doppler effect (m-D effect)
• Feature extraction
• Group target
• Sinusoidal Frequency Modulation Fourier-Bessel Transform (SFMFBT)