论文标题
戒指激光陀螺：噪声提高性能
Ring Laser Gyro: Noise Improves Performance
论文作者
论文摘要
我们提出了在随机正弦抖动的影响下的环激光陀螺仪（RLG）性能的系统表述。我们开发了这样一个系统的Fokker Planck方程，并找到其稳态解决方案，用于找到平均输出速率及其方差的精确方程。前者确定了RLG的比例因子，后者的角度随机步行。我们找到一个关键参数，称为剩余锁定速率，该参数会影响陀螺仪的比例因子和随机行走。我们表明，当噪声振幅大于剩余的锁定速率时，陀螺速度输出接近理想陀螺的速度。但是，这是为了产生与残留锁定速率成正比的角度随机行走。我们提出了陀螺仪计数统计数据的公式，并将平均计数及其标准偏差与陀螺仪参数相关联。例如，我们表明，除了与残留锁定速率成比例外，角随机行走还与抖动频率的反平方根成正比。
We present a systematic formulation of the performance of a ring laser gyro (RLG) under the influence of a randomized sinusoidal dither. We develop the Fokker Planck equation of such a system and find its steady state solution that we use to find exact equations for the average output rate and its variance. The former determines the RLG's scale factor and the latter its angular random walk. We find a key parameter, called the residual lock-in rate, which affects both the scale factor and the random walk of the gyro. We show that when the noise amplitude is much larger than the residual lock-in rate the gyro rate output approaches that of an ideal gyro. However, this is at the expense of generating an angular random walk that is proportional to the residual lock-in rate. We present a formulation of the statistics of gyro output count and relate the average count and its standard deviation to gyro parameters. For example, we show that the angular random walk, in addition to being proportional to the residual lock-in rate, is also proportional to the inverse square root of the dither frequency.
