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通过建立联合环路的数学模型,将锁频环(FLL)跟踪误差引入锁相环(PLL),能准确推导出二阶FLL辅助三阶PLL的相位跟踪误差公式.推导结果表明,锁频环辅助的锁相环(FPLL)跟踪误差与之前针对单PLL或FLL的研究结果有较大差别:考虑加加速度动态效果时,FPLL环路相位跟踪动态应力误差为零;FPLL相位热噪声跟踪误差不仅包含PLL的热噪声,而且具有FLL的热噪声成分.另外,不同于对FLL或PLL单独作优化,提出一个FPLL的联合优化准则:以FLL动态应力误差小于PLL快速捕捉带为约束,相位跟踪误差最小为目标,对FLL和PLL带宽同时进行优化.最后,数值仿真结果表明,所作FPLL的环路性能分析正确,推导所得误差公式准确;联合优化所得FPLL环路可稳定工作,同时获得相对单PLL更好的相位跟踪精度.研究结果有助于之后FPLL的精确设计.
By establishing a mathematical model of the joint loop, the FLL tracking error is introduced into the phase-locked loop (PLL), and the phase tracking error formula of the second-order FLL-assisted third-order PLL can be deduced accurately.The deduced results show that the frequency-locked loop Auxiliary phase-locked loop (FPLL) tracking errors differ from previous studies on single PLLs or FLLs: FPLL loop phase tracking dynamic stress errors are zero when considering jig acceleration dynamics; and FPLL phase thermal noise tracking errors not only Contains the thermal noise of the PLL and has the thermal noise component of the FLL.In addition, instead of optimizing the FLL or PLL separately, a joint FPLL optimization criterion is proposed: the FLL dynamic stress error is less than the PLL fast capture band constraint, the phase tracking error Minimum, the FLL and PLL bandwidth are optimized simultaneously.Finally, the numerical simulation results show that the loop performance of the FPLL is correct and the error formula derived is accurate. The combined FPLL loop can work stably while obtaining the relative single PLL Better phase tracking accuracy.The results of the study contribute to the accurate design of FPLL.