乘性交叉耦合锁相环路模型及对称情况下的环路性能分析

The model of CCPLL with mulitiplicand and its performance for symmetry

本文研究接收信号为v(t)=S_1[t,x_1(t)]S_2[t,x_2(t)]+n(t)时,利用最大后验估值方法,在FM调制下,导出一种新的交叉耦合锁相环路—乘性交叉耦合锁相环路(CCPLL(M)),并提出其数学模型为: θ_1=x_1(t)-K_1F_1(p)sinθ_1cosθ_2 θ_2=x_2(t)-K_2F_2(p)sinθ_2cosθ_1当上下环路对称时,利用线性变换,使CCPLL(M)等价于两个独立的具有正弦鉴相特性的PLL.因此,CCPLL(M)是PLL的推广。本文还得出对称情况下CCPLL(M)的同步带和捕捉带。

In this paper, supposing that the received signals at the input are of the form v(t)=S_1[t,x_1(t)]S_2[t,x_2(t)]+n(t)where S_1 are FM signals, a novel cross-coupled phase-locked loop (CCPLL(M)) isobtained, and its mathematical model is of the form θ_1(t)=x_1(t)-K_1F_1(p)sinθ_1 cosθ_2 θ_2(t)=x_2(t)-K_2F_2(p)sinθ_1 cosθ_2 If the CCPLL (M) is symmetric, then the CCPLL (M) is equivalent to two independentPLLs under the linear transform. On the basis of the above, the acqisiton rqnge andsynchronizations range are obtained.