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After smoothing and logarithmically sampling the frequency response of a speaker one only has to invert this data to create an ideal inverse filter for the speaker. Simply flip the frequency response of the loudspeaker over the frequency axis and scale it appropriately.
targetfft=(1./smoothfft);
semilogy(targetfft)
title('Ideal Inverse Filter');
xlabel('Frequency');
ylabel('Response (dB)');
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