CAJ | 학술논문

针对时域欠采样下多分量线性调频信号参量估计问题，提出了一种基于同时估计多个实数的广义稳健中国剩余定理的调制斜率和初始频率的解模糊方法。研究了忽略信号交叉项影响所需的条件及利用广义稳健中国定理对多个LFM信号参数解模糊的原理和方法。仿真实例表明，提出的方法在低信噪比及时域欠采样下对多个LFM信号的调制斜率和初始频率估计精度高、稳健性好。
침대시역흠채양하다분량선성조빈신호삼량고계문제，제출료일충기우동시고계다개실수적엄의은건중국잉여정리적조제사솔화초시빈솔적해모호방법。연구료홀략신호교차항영향소수적조건급이용엄의은건중국정리대다개LFM신호삼수해모호적원리화방법。방진실례표명，제출적방법재저신조비급시역흠채양하대다개LFM신호적조제사솔화초시빈솔고계정도고、은건성호。
Aim.We propose a new approach to joint estimation of chirp rates and initial frequencies of multiple LFM signals with sub-Nyquist temporal sampling.Sections 1 through 3 explain our method of joint estimation men-tioned in the title, which we believe is effective.In section 2, we brief GRCRT( Generalized Robust Chinese Re-mainder Theorem) for multiple numbers proposed by us in Ref.4.The core of section 3 is:“We apply GRCRT for multiple numbers to estimate chirp rates and initial frequencies for multiple LFM signals.In subsection 3.1, we ap-plied the GRCRT for multiple numbers to multiple LFM signals’ chirp rates estimation in multiple undersampled waveforms and obtained the condition for ignoring the effect of cross term.In subsection 3.2, we applied the GRCRT for multiple numbers to multiple LFM signals’ initial frequencies estimation”.Section 4 presents a numeri-cal example;the simulation results, given in Figs.1 and 2, and their analysis show preliminarily that our new ap-proach based on GRCRT for multiple numbers can indeed accurately and robustly estimate chirp rates and initial frequencies of multiple LFM signals.