距离跟踪环路的等效噪声带宽

Equivalent Noise Bandwidth of Distance Tracking Loop

环路等效噪声带宽决定了环路对热噪声跟踪误差的抑制特性,是距离跟踪环路的一个重要指标。对使用α-β滤波器距离跟踪环的等效噪声带宽的分析较为成熟,但对于使用α-β-γ滤波器的距离跟踪环路,相关的分析则存在通用性不强以及推导过程不严谨的缺点。因此文中对该问题进行了严格的理论推导,所得公式具有通用性,适合于所有参数情况。对于推导过程中所涉及的圆周积分,并未采用常用的查表法或留数定理,而是采用了另一种较为新颖的方法,将复杂的求解圆周积分问题转换为较为简单的求解线性方程组问题,得到了精确的等效噪声带宽闭式解。

Loop equivalent noise bandwidth,which decides the thermal noise suppression performance,is an important indicator of distance tracking loop.Compared to the mature analysis carried out on the equivalent noise bandwidth of distance tracking loop using α-β filter,the similar analysis on distance tracking loop using α-β-γ filter is weak universal and not strict.This problem is studied here and after a rigorous theoretical derivation,a generic formula which applies to all parameters is obtained.The problem of circulation integral is not solved by the traditional look-up table method or the residue theorem,but rather a novel way which converts this issue to linear equation solving problem.