I am reading the book 'spectral audio signal processing'. It says when $n=LN-1$ for any integer $L$, the sliding DFT

$$X_n(k)=\sum_{m=0}^{N-1}x(n+m)e^{-j2\pi mk/N}$$

coincides with the DFT filter bank.

But at other times, they differ by a linear phase term. See here for the details.

  1. I cannot figure out why the above holds.

P.S., the DFT filter bank expression is given in this link.

  1. Another question is: In what situation can sliding DFT be used? Is it only meaningful for theoretical analysis?

Can you help with the above questions?



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.