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Since you don't want to collect audio samples the best I could suggest is to have some filtering of the compressed spectrum. for instance $$\underbrace{\int_{-\infty}^{\infty} \left( \sum_{k=1}^{\infty} u_k \cdot c(h(\omega/\omega_1) X\left( \frac{k\cdot \omega}{\omega_1}\right) \right) d\omega}_{\textrm{Harmonics}} + \underbrace{\int_{-\infty}^{\infty} \...


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