Implementing Notch filter for an audio signal

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Mitja Kocjancic
Mitja Kocjancic 2022-4-9
评论： Mathieu NOE 2022-4-13
Hello, I have the folowing filter expressed as an equasion
If you put in Exel for example values from 0khz to 15khz in 1Hz increments, you get a response that looks like this
WolfranAlpha draws it like this: https://www.wolframalpha.com/input?i=%281+%2B+i*6.4*f%29+%2F+%285+%2B+i*6.4*f%29
Now when I wanted to implement this in matlab, and used this audio sample: https://transfer.sh/ruffRk/test.wav
[y,Fs] = audioread('test.wav');
filtered = (1+1i*6.4*y)/(5+1i*6.4*y);
sound(filtered,Fs);
I got the folowing error
Error using /
Requested 3888467x3888467 (225308.2GB) array exceeds maximum array size
preference (32.0GB). This might cause MATLAB to become unresponsive.
Now I don't know how to implement this notch filter properly in matlab, I guess its just requires too much RAM, that I don't have or is there any other way?
Thanks for Anwsering and Best Regards
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Mitja Kocjancic
Mitja Kocjancic 2022-4-12
@Mathieu NOE you made my day, thanks man, not sure how to accept this anwser but yey it finaly works :)
now I have it like this
function result = k_notch(signal, phase, Fs)
disp("Applying Notch filter for: " + phase);
num = [6.4/(2*pi) 1];
den = [6.4/(2*pi) 5];
%Discrete this
[ad, bd] = bilinear(num, den, Fs);
%Filter signal
result = filter(ad,bd,signal);
end
and I am happy :)

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