彻底消除相位检测中的±π弧度跳变问题

Thoroughly Doing Away with±π Jumps in a Phase Discriminator

利用周期函数的反函数如反正切函数检测相位时,由于存在噪声,必然在反函数主值定义域边界附近出现多次±π弧度的往复跳变,本文分析产生这种异常跳变的原因,讨论变换主值域回避跳变算法的有效性,提出值域边界循环相邻性观点,构造一种新的循环域消除跳变的算法,仿真证实了该算法比变换主值域算法具有更好的性能。

When a discriminator detects phase by means of the inverse periodic function,for example,Arctangent,the detected phase will jump back and forth ±π radians near the boundaries of the main value area of the inverse function because of the noise. This paper analyses the cause of the abnormal jumps,discusses the validity of the altering main value area algorithm to avoid the jumps,then introduces a new Circular Area algorithm to cancel the jumps by the ideal that all value area boundaries are circularly adjacent. Simulations have proved that the new algorithm is of better performances than that of the altering main value area algorithm.