How do I read and split an audio file into four different frequency ranges?

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I have an audio file of sampling frequency as 16 kHz. Now I would like to read it and split its samples into four range. Namely:
0 kHz - 1 kHz
1 kHz - 2 kHz
2 kHz - 4 kHz
4 kHz - 8 kHz
I have come about the following code but I am not sure if it is correct? I wanted to know if there is any other way.
[signal,fs]=audioread('003.wav');
SigFD = (signal);
n = length(signal); % number of samples
deltaF = fs/n; % frequency resolution
F = [0:floor(n/2)-1, -(floor(n/2)):-1]*deltaF; % frequency vector
lowF = 0; % lowF and highF defines one of the range
highF = 1000;
part1Range = abs(F)>lowF&abs(F)<highF;
Fpart1 = F(part1Range);
Sig1FD = SigFD(part1Range);

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Star Strider
Star Strider 2018-9-14
If you have R2018a or later, use the bandpass (link) function on your original signal, each with different passband limits.
If you have an earlier version, use ellipord (link) and ellip (link), that together are almost as easy.
  7 个评论
Star Strider
Star Strider 2018-9-17
As always, my pleasure.
The first filter is a simple lowpass filter with a passband a 1 kHz. You can use this prototype code to design it.
This designs the second filter:
Fs = 1.6E+4; % Sampling Frequency (Hz)
Fn = Fs/2; % Nyquist Frequency (Hz)
Fnotch = 1.5E3; % Notch Frequency (Hz)
BW = 1E+3; % Passband Width (Hz)
Ws = [Fnotch-BW/2-1 Fnotch+BW/2+1]/Fn; % Passband Frequency Vector (Normalised)
Wp = [Fnotch-BW/2-5 Fnotch+BW/2+5]/Fn; % Stopband Frequency Vector (Normalised)
Rp = 1; % Passband Ripple (dB)
Rs = 150; % Stopband Attenuation (dB)
[n,Wp] = ellipord(Wp,Ws,Rp,Rs); % Default Here Is A Bandpass Filter
[z,p,k] = ellip(n,Rp,Rs,Wp);
[sos,g] = zp2sos(z,p,k); % Use Second-Order-Section Implementation For Stability
% s_filtered = filtfilt(sos,g,s); % Filter Signal (Here: ‘s’)
figure
freqz(sos, 2^14, Fs) % Bode Plot Of Filter
set(subplot(2,1,1), 'XLim',[0 Fn]) % Optional, Change Limits As Necessary For Best Resolution
set(subplot(2,1,2), 'XLim',[0 Fn]) % Optional, Change Limits As Necessary For Best Resolution
The others are the same except for the centre frequencies and the bandwidths.

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