三角调频连续波建模与数值仿真

Modeling and numerical simulation of triangle FMCW

三角调频连续波由于测距精度高,所以在测距系统中有着广泛的应用。结合模数函数、绝对值函数和符号函数,推导了三角调频连续波的频率和相位的数学表达式,并进行了建模及仿真。仿真结果表明,频率和相位的数学表达式满足微积分的关系,能够描述三角波调频在跨越调频周期时的不连续性。

Triangle FMCW is widely used in ranging systems for its high ranging precision.Considering features of modulo function,absolute value function and sign function,analytical expression of frequency and phase of triangle FMCW is given.Modeling and simulations are realized.Result of simulation shows that frequency and phase expressions have relationship of differential and integral. The expressions can correctly describe the discontinuousness of triangle FMCW at boundary between FM periods.