论文部分内容阅读
锯齿调频连续波由于测距精度高,在测距系统中有着广泛的应用。为了描述锯齿调频连续波多个调频周期中的频率和相位变化及跨越调频周期时的不连续性,结合具有一定周期性和不连续性的模数函数,推导了锯齿调频连续波的频率和相位的数学表达式,并进行建模及仿真。通过对频率与相位的微积分关系的推导解析地验证了数学表达式的正确性。数值仿真结果也表明:频率和相位的数学表达式满足微积分的关系,是频率与相位的正确的表达式,能够描述锯齿波调频在跨越调频周期时的不连续性。提出的锯齿调频连续波的多调频周期频率与相位表达式可为进一步研究锯齿调频连续波测距过程提供基础。
Serrated frequency modulation continuous wave due to the high accuracy of ranging, ranging system has a wide range of applications. In order to describe the frequency and phase changes in multiple frequency modulation cycles of sawtooth frequency modulated continuous wave and the discontinuity across the frequency modulation cycle, the frequency and phase of sawtooth frequency modulation continuous wave are deduced based on the modulus function with periodicity and discontinuity Mathematical expressions, and modeling and simulation. Through the derivation of the relationship between frequency and phase calculus, the correctness of mathematical expressions is verified analytically. The numerical simulation also shows that the mathematical expression of frequency and phase satisfies the relation of calculus, and is the correct expression of frequency and phase, which can describe the discontinuity of sawtooth frequency modulation over frequency modulation period. The proposed multi-tone frequency and phase expression of sawtooth frequency modulated continuous wave can provide a basis for further study of the frequency-modulated continuous wave range finding process.