Under ideal condition, multi-cyclostationary signals, which are overlapped in the time-frequency domain, can preserve the distinct characteristic without disturbance in cyclic-frequency domain. Unfortunately, in practical application where getting the infinite data length is impossible, the estimation of the cyclic correlation function of the noise and the signal component is not zero due to the limited data length. Accordingly, the performance of cyclostationary method may be negatively affected. In this paper, the quantitative relation between the cyclic correlation function of the noise, the interesting signal, the interference signal and its available data length is deduced, and some conclusions useful for the practical signal processing of cyclostationary signals are obtained, which are further verified by several simulations.%理想情况下,具有不同循环频率集的单通道时频重叠多循环平稳信号在循环域上可以不受影响地保留各自独有的特性；但在实际场合中,由于数据长度的有限性,噪声与信号分量之间的循环相关函数的估计量并不为零,因此将影响循环平稳方法的性能.本文分析了剩余误差项产生的原因,推导了有限数据长度下噪声、目标信号分量和干扰信号分量之间的循环相关函数随数据长度变化的量化关系,获取了理论上的结论,并通过独立实验进行了仿真验证.
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