摘要
传统高斯滤波器在信号处理领域因其平滑性和噪声抑制能力广受关注。然而,在处理复杂噪声背景下的特征信号时,其性能受到了限制。为应对这一问题,提出了一种基于双曲正切函数(tanh)和正弦函数修正的改进型高斯滤波器,旨在提升其在复杂信号处理任务中的适应性和鲁棒性。理论分析和实验证明,改进型高斯滤波器能够在信号去噪和弱信号增强检测中显著提高信噪比,优于传统高斯滤波器,尤其在高噪声干扰环境下展现了更强的信号恢复能力。改进型高斯滤波器为滤波器设计与复杂信号处理提供了新的技术支持。
The traditional Gaussian filter has been widely recognized in the field of signal processing for its smoothing and noise suppression capabilities.However,its performance is limited when handling feature signals in complex noise environments.To address this issue,an improved Gaussian filter,incorporating modifications based on the hyperbolic tangent function(tanh)and sine function,is proposed to enhance adaptability and robustness in complex signal processing tasks.Theoretical analysis and experimental validation demonstrate that the new filter significantly improves the signal-to-noise ratio in tasks such as noise reduction and weak signal enhancement,outperforming the traditional Gaussian filter,particularly in high-noise interference scenarios.The improved Gaussian filter offers a novel technical approach and theoretical foundation for filter design and complex signal processing.
作者
娄海洋
郝如江
薛强
LOU Haiyang;HAO Rujiang;XUE Qiang(School of Mechanical Engineering,Shijiazhuang Tiedao University;Heibei Vocational College of Rail Transportation;School of Electrical and Electronic Engineering,Shijiazhuang Tiedao University)
出处
《仪表技术与传感器》
北大核心
2025年第7期114-120,共7页
Instrument Technique and Sensor
关键词
双曲正切函数
高斯-正弦滤波器
信号提取
hyperbolic tangent function
Gaussian-Sinusoidal filter
signal extraction