A System-of-Systems Perspective on Frequency Estimation: Time-Frequency Distribution of Multiple LFM Signals

Ruolun Liu, Xueqin Zhang, Rui Huang
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Abstract

This chapter provides a System-of-Systems (SoS) perspective on a study of frequency estimation of signals with a focus on Linear Frequency Modulation (LFM) signals. This chapter describes an SoS approach for frequency estimation using Chirplet Transform (CT), Hough Transform (HT), and the Short Time Fourier Transform (STFT) with filtering viewpoint. The filtering viewpoint employs the filter impulse response length to obtain the best time-frequency concentration for accurate estimation of a signal frequency. The optimum impulse response length can be found by varying the length of the filter impulse response and observe the changing in the time-frequency distribution (TFD). The chapter shows that when the length of the impulse response becomes longer, the time-frequency concentration in TFD increases first and then decreases.
频率估计的系统-系统观点:多个LFM信号的时频分布
本章从系统的角度研究信号的频率估计,重点是线性调频(LFM)信号。本章描述了一种使用小波变换(CT)、霍夫变换(HT)和带滤波视点的短时傅立叶变换(STFT)进行频率估计的SoS方法。滤波观点利用滤波脉冲响应长度来获得最佳时频浓度,以准确估计信号频率。通过改变滤波器脉冲响应的长度,观察其时频分布(TFD)的变化,可以找到最佳的脉冲响应长度。本章表明,当脉冲响应长度变长时,TFD中的时频浓度先增大后减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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