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%Spectral Subtraction Algorithm
winsize=256; % 窗长
n=0.04; % 噪声水平
[speech,fs,nbits]=wavread('speech_clean.wav'); % 读入数据
size=length(speech);
numofwin=floor(size/winsize); % 帧数
%加窗
ham=hamming(winsize)'; %Generates Hamming Window
hamwin=zeros(1,size); %Vector for window gain
enhanced=zeros(1,size); %Vector for enhanced speech
%产生带噪信号
wavin=speech'+ n*randn(1,size); %Contaminates signal with white noise
a=2; %过减因子
b=0.01; %增益补偿因子
c=0; %c=0时,不对增益矩阵进行开方,c=1时,进行开方运算
%读取语音文件---------------------------------------------------------------
%[filename,pathname]=uigetfile('*.wav','请选择语音文件:');
%[wavin,fs,nbits]=wavread([pathname filename]);
wav_length=length(wavin);
%基音周期最大为20ms,为使ifft还原后语音失真尽量小,帧长至少要为基音周期的2倍
%根据fs选择帧长:
frame_len=200;step_len=100;
inframe=(enframe(wavin,frame_len,step_len))'; %分帧
frame_num=size(inframe,2); %求帧数
window=hamming(frame_len); %定义汉明窗
%分别对每帧fft,求幅值,求相角-----------------------------------------------
for i=1:frame_num;
fft_frame(:,i)=fft(window.*inframe(:,i));
abs_frame(:,i)=abs(fft_frame(:,i));
ang_frame(:,i)=angle(fft_frame(:,i));
end;
%每相邻三帧平滑-------------------------------------------------------------
abs_frame_f=abs_frame;
for i=2:frame_num-1;
abs_frame_f(:,i)=mean(abs_frame(:,(i-1):(i+1)),2);
end;
abs_frame=abs_frame_f;
%求增益矩阵-----------------------------------------------------------------
%矩阵中每一元素为:
%g(k)=(Py(k)-a*Pn(k))/Py(k)
%Py和Pn分别为带噪语音和噪声的功率谱估计,都用MATLAB中自带的pmtm函数来估计
%可根据需要调节a的大小,来得到更好的效果
%用多窗谱法法对每一帧数据进行功率谱估计
for i=1:frame_num;
per_PSD(:,i)=pmtm(inframe(:,i),3,frame_len,'twosided');
end;
%对功率谱的每相邻三帧进行平滑
per_PSD_f=per_PSD;
for i=2:frame_num-1;
per_PSD_f(:,i)=mean(per_PSD(:,(i-1):(i+1)),2);
end;
per_PSD=per_PSD_f;
%取前20帧作为噪声帧,取其平均作为噪声的功率谱估计
noise_PSD=mean(per_PSD(:,1:20),2);
%求增益矩阵
for k=1:frame_num;
g(:,k)=(per_PSD(:,k)-a*noise_PSD)./per_PSD(:,k);
end;
%求增益补偿阈值,凡是小于该阈值的增益系数军用阈值来代替,这样可减少音乐噪声
spec_floor=b*noise_PSD./per_PSD(:,k);
spec_floor=spec_floor(:,ones(1,frame_num));
[I,J]=find(g<spec_floor);
gf=g;
gf(sub2ind(size(gf),I,J))=spec_floor(sub2ind(size(gf),I,J));
if c==0;
g=gf;
else g=gf.^0.5;
end;
%谱减----------------------------------------------------------------------
sub_frame=g.*abs_frame;
% % 非语音帧衰减------------------------------------------------------------
% T=20*log10(mean(sub_frame./(abs_noise*ones(1,frame_num))));
% T_noise=mean(T(:,1:20),2);
% c=10^(-2/3); %衰减系数为 10^(-1.5)
% noise_frame=find(T<T_noise);
% sub_frame(:,noise_frame)=c*sub_frame(:,noise_frame);
%将语音信号还原至时域-------------------------------------------------------
wavout=zeros(1,(frame_num-1)*step_len+frame_len);
j=sqrt(-1);
i=1;
for t=1:step_len:((frame_num-1)*step_len+1);
wavout(:,t:(t+frame_len-1))=wavout(:,t:(t+frame_len-1))+real(ifft(sub_frame(:,i).*exp(j*ang_frame(:,i))))';
i=i+1;
end;
%将处理结果输出为'wav'文件--------------------------------------------------
if c==0;
wavwrite(wavout,fs,nbits,[num2str(frame_len) 'fnm_' num2str(a) '_' num2str(b) '_' filename]);
else wavwrite(wavout,fs,nbits,['m_' num2str(a) '_' num2str(b) '_' filename]);
end;
%将处理前后的结果进行作图比较
figure
subplot(2,1,1);
plot(wavin);grid on;
axis([1 wav_length -1 1]);
subplot(2,1,2);
plot(wavout);grid on;
axis([1 wav_length -1 1]);
%将处理前后的结果进行作图比较
figure(2)
specgram(wavin);
figure(3)
specgram(wavout);
%pause;
soundsc(wavin,fs,nbits);
%pause;
soundsc(wavout,fs,nbits);
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