分析利用反馈环路内的噪声相关性来改善锁定振荡器性能
Analytically exploiting noise correlations inside the feedback loop to improve locked-oscillator performance
摘要：
我们介绍的概念，从最佳估计到稳定的精密频率标准有限的噪声本地振荡器。我们开发了一个理论框架铸造各种措施的频域传递函数的频率标准方差，通过一个时间序列的拉姆齐测量捕获反馈稳定的影响。使用这个框架，我们引入了一种新的优化的混合预测前馈测量协议，采用多个过去的测量和基于传递函数的测量协方差计算的结果，以提高反馈回路内的校正的准确性。在存在常见的非马尔可夫噪声过程的情况下，这些测量将以可计算的方式相关，从而提供在测量周期期间捕获LO频率的随机演变的手段。我们提出了分析计算和数值模拟振荡器的性能下竞争的反馈方案，并证明了使用混合前馈的校正精度和长期振荡器稳定性的好处。仿真验证，在存在未补偿的死区时间和噪声与显着的频谱权重附近的反周期时间预测前馈优于传统的反馈，提供了一条通往发展的一类新的稳定的“软件”例程的频率标准的噪声本地振荡器的限制。
英文摘要：
We introduce concepts from optimal estimation to the stabilization of precision frequency standards limited by noisy local oscillators. We develop a theoretical framework casting various measures for frequency standard variance in terms of frequency-domain transfer functions, capturing the effects of feedback stabilization via a time-series of Ramsey measurements. Using this framework we introduce a novel optimized hybrid predictive feedforward measurement protocol which employs results from multiple past measurements and transfer-function-based calculations of measurement covariance to improve the accuracy of corrections within the feedback loop. In the presence of common non-Markovian noise processes these measurements will be correlated in a calculable manner, providing a means to capture the stochastic evolution of the LO frequency during the measurement cycle. We present analytic calculations and numerical simulations of oscillator performance under competing feedback schemes and demonstrate benefits in both correction accuracy and long-term oscillator stability using hybrid feedforward. Simulations verify that in the presence of uncompensated dead time and noise with significant spectral weight near the inverse cycle time predictive feedforward outperforms traditional feedback, providing a path towards developing a new class of stabilization "software" routines for frequency standards limited by noisy local oscillators.
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