针对背景噪声中复正弦信号的检测和估计问题,分析了自适应格型IIR陷波器的两种复数算法即梯度算法和简化的梯度算法的收敛性能,证明了输入白噪声方差的大小不影响收敛速度。并分析了由一阶自回归模型产生的有色噪声对算法的收敛性能的影响,为有色噪声中复正弦信号检测的自适应过程的参数的选取提供了理论依据。 Aiming at the detection and estimation of complex sinusoidal signal in background noise, the convergence performance of two kinds of complex algorithms of adaptive lattice IIR notch filter, ie gradient algorithm and simplified gradient algorithm, is analyzed. It is proved that the input white noise variance does not affect the size convergence speed. The influence of the colored noise generated by the first-order autoregressive model on the convergence performance of the algorithm is analyzed, which provides a theoretical basis for the parameter selection of the adaptive process of complex sinusoidal signal detection in colored noises.