基于改进傅里叶变换的电子音乐信号降噪算法  

An electronic music signal denoising algorithm based on improved Fourier transform

作　　者：赵晶晶 张晓娜 ZHAO Jingjing;ZHANG Xiaona(Shijiazhuang University,Shijiazhuang 050035,China)

机构地区：[1]石家庄学院,河北石家庄050035

出　　处：《现代电子技术》2020年第7期43-47,共5页Modern Electronics Technique

摘　　要：针对以往电子音乐信号降噪算法因未在降噪处理前分离无噪声电子音乐信号以及噪声信号,导致无法全面清除噪音,提出一种基于改进傅里叶变换的电子音乐信号降噪算法。该算法对电子音乐信号进行鲁棒主成分分析,将电子音乐信号转化为低秩矩阵以及稀疏大噪声矩阵之和,通过核范数优化方法优化以上矩阵之和,有效分离无噪声电子音乐信号以及噪声信号,利用改进傅里叶变换算法即小波变换算法进行电子音乐信号降噪处理时,通过经典阈值方法选取最优阈值,依据该阈值选取阈值滤波法进行电子音乐信号的小波系数处理,去除噪声信号的小波系数,通过小波逆变换滤波后的信号获取降噪后电子音乐信号。实验结果表明,该算法可以清晰地将电子音乐信号与噪声信号分离,并有效去除噪声信号,信号还原度高,且对10种电子音乐信号进行降噪能量损失量均低于2%。The previous electronic music signal noise reduction algorithm failed to separate the non-noise electronic music signal and noise signal before noise reduction,so the noise could not be completely removed.A kind of electronic music signal noise reduction algorithm based on the improved Fourier transform is put forward.By this algorithm,the robust principal component analysis for the electronic music signals is carried out,and the electronic music signal is converted into the sum of low rank matrix and sparse big noise matrix.Then,the sum of above the matrixes,the effectively-separated electronic music signal and noise signal are optimized via the nuclear matrix norm optimization method to without noise.When the electronic music signal noise reduction processing is performed by using the improved Fourier transform algorithm,that is,wavelet transform algorithm,the optimal threshold is selected with the classical threshold method.According to this threshold value,the threshold value filtering method is selected for wavelet coefficient processing of the electronic music signal to remove the wavelet coefficients of the noise signal.The denoised electronic music signal is obtained by means of the signal after wavelet inverse transformation filtering.The experimental results show that this algorithm can clearly separate electronic music signal from noise signal,effectively remove noise signal(the denoised signal has high reduction degree),and make the energy loss less than 2%while 10 kinds of electronic music signals are denoised.

关 键 词：电子音乐 信号降噪 傅里叶变换 矩阵优化 阈值选取 小波系数处理 

分 类 号：TN911.7-34[电子电信—通信与信息系统] TP391[电子电信—信息与通信工程]