如何将语音频谱转换为时域

Question

我在做语音分析。我把声音录了5秒。应用Hamming窗，直流偏移和归一化，并使用fft的频谱。我想知道声音有多大变化。那么，有没有办法将fft转换回时域呢？

clc,clear;
% Record your voice for 5 seconds.
%recObj = audiorecorder;
recObj = audiorecorder(96000, 16, 1);
disp('Start speaking.')
recordblocking(recObj,5);

disp('End of Recording.');
% Play back the recording.
play(recObj);
get(recObj);
myspeech = getaudiodata(recObj);
wavwrite(double(myspeech),96000,'C://Users//naveen//Desktop//unprocessed')

% Store data in double-precision array.
myRecording = getaudiodata(recObj);

% Store data in double-precision array.
myRecording = getaudiodata(recObj);

% Plot the samples.
figure,plot(myRecording),title('Original Sound');
%Offset Elimination
 a = myRecording;
 a=double(a);
 D = a-mean(a);
 figure,plot(myRecording),title('Sound after Offset Elimination');

 %normalizing
 w = D/max(abs(D));
 figure,plot(w),title('Normalized  Sound');

 %      hamming window 
 a1=double(w);
 %a1=a1';
 N=length(w);
 hmw = hamming(N);
 temp = a1.*hmw;
 a1 = temp;

 %Fast Fourier Transform 
 a2=double(a1);
 N=length(a1);
 n=ceil(log2(N));
 nz=2^n;
 fs = 96000;
 x_z=0*[1:nz];
 x_z(1:N)=a2;
 X=fft(x_z);
 x1=abs(X);
 wq=double(0:nz-1)*(fs/nz);
 figure,stem(wq,x1),title('Spectrum');    
 xlabel('Frequency (Hz)');
 ylabel('Magnitude of FFT Coefficients');

 nz1=round(nz/2)
 x2=x1(1:nz1);
 w1=wq(1:nz1);
 figure,plot(w1,x2);
 title('Half Length Spectrum of Sound');
 nz2=nz1*10;

Answer 1

和fft一样，您也可以应用ifft，这是傅里叶变换(http://www.mathworks.es/es/help/matlab/ref/ifft.html)的逆。

Answer 2

对复杂数据使用abs()函数是一种有损操作，它丢弃任何阶段信息。相位信息对FFT窗口中的波形形状和任何瞬态的定时进行编码。由于这些信息已经被丢弃，光是一个震级谱或谱图就不能被转换回听起来像原始语音的音频。

但是，如果保持FFT的全部复结果，那么复IFFT可能会用于某种再合成过程。