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Your diagram looks correct. Let's call the transfer function in the feedback loop $G(z)$. Consider the signal $w[n]$ at the input to the delay line. Its $\mathcal{Z}$-transform satisfies $$W(z)=X(z)+G(z)Y(z)\tag{1}$$ where $X(z)$ and $Y(z)$ are the $\mathcal{Z}$-transforms of the input and output sequences, respectively. The output is just a delayed ...


Your cross correlation is quantized instead of interpolated or filtered. This can result in quantization jitter of the lag values, causing modulation of the sequence of OLA windows. Try upsampling your data to a much higher sample rate to reduce the correlation lag quantization noise.

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