本文介绍了用于最大信噪比（ＳＮＲ）有限脉冲响应（ＦＩＲ）数字滤波器设计的梯度算法。我们注意到，对特征值梯度的确定并不能从任何起始点得出总体最大值。文章中研究了用所提出的方法设计的线性相位低通、高通和带通滤波器的特性。既使当滤波器长度相当小时，最大信噪比滤波器也能够保持相当好的滤波性能。该滤波器对已知功率港的稳定信号和稳定噪声组成的混合信号处理方面具有较强的优越性。 This article describes a gradient algorithm for maximum signal-to-noise (SNR) finite impulse response (FIR) digital filter design. We note that the determination of the eigenvalue gradient does not result in an overall maximum from any starting point. In this paper, the characteristics of linear phase LP, HP and LPF designed by the proposed method are studied. Even when the filter length is quite small, the maximum signal-to-noise ratio filter can maintain fairly good filtering performance. This filter has strong superiority to the mixed signal processing of stable signal and stable noise of known power port.