基于多分辨率分析的1/f类噪声滤波器设计

Filter Design of 1/f Type Noise Based on Multiresolution Analysis

针对 1 /f类噪声的非平稳、自相似、长程相关以及幂指数型的功率谱等特性 ,根据小波理论以及多分辨率分析思想给出了 1 /f类噪声的多分辨率分解的表示方法 ,在此基础上建立了其小波模型并设计出相应的白化滤波器 .运用基于小波的阀值限定的方法进行消噪 ,以干涉式光纤陀螺系统中由于偏置不稳定性造成输出信号中所存在的 1 /f类噪声为研究对象进行仿真分析 .结果表明 。

The characteristics of non-stationary, self-similarity, long-term correlation and 1/f type power spectrum of 1/f noise were analyzed. The multiresolution decomposition method of 1/f type noise based on wavelet theory and multiresolution analysis idea was presented. Its wavelet-based mode was given and the corresponding wavelet-based whitening filter was designed. The denoised method of signal's wavelet coefficient threshold using the principle of Sten's unbiased risk estimation was proposed. The research object is the bias instability noise of the output signal of interferometric fiber optic gyro. The simulation reveals the effectiveness of the proposed scheme.