导航接收机中基于反正切鉴别器载波环路的分析及优化设计

该文首次给出了数字反正切鉴别器环路的精确建模和分析，得到了不同信噪比下的等效环路带宽和收敛区间，通过推导可知低信噪比下的等效环路带宽约为高信噪比下的1/3，收敛区间约为高信噪比下的1/2；低信噪比下振荡器短稳和动态应力引起的跟踪误差约为传统理论分析结果的9倍；输入信噪比降低10 dB，热噪声引起的跟踪误差约增加20 dB。通过仿真对等效环路带宽以及鉴别器方差分析的正确性进行了验证。最后，根据总跟踪误差与收敛区间的在不同信噪比下的关系，给出了反正切环路最低可稳定工作的信噪比门限以及对应的环路参数设计方法。该文的结论可用于导航接收机的精确设计。

Performance and Design of Carrier Tracking Loop Based on Atan Detector in GNSS Receiver

This paper gives the bandwidth under different signal to noise ratios by precisely analyzing the atan phase detector, proved the result by simulation. It is concluded that the bandwidth of the loop under very low signal to noise ratio is triplicate of the bandwidth in high signal to noise ratio, which will make the error caused by short-term stability of the oscillator and the acceleration of Doppler. The signal to noise ratio decreases 10 dB, the thermal phase noise will increase 20 dB. Finally, for the purpose of steady tracking, the threshold of signal to noise ratio and the loop filter’s coefficients are given. The results of this article can be used to guide the design of the satellite navigation receiver.