# where extreme Daubechies wavelet coeﬃcients would be useful?

Consider a function the following spaces: $$\{f : \|(i\omega)k \hat f(\omega)\|_p ≤ 1, k ∈ N ∪ 0, p ∈ (1, ∞)\}.$$

Denote by $$\psi^m_D$$ an orthonormal Daubechies wavelet of order m. One can find an that the extreme values of Daubechies wavelet coeﬃcients for the above function spaces, i.e $$A ≤ \|k(\hat \psi^m_D)\|_p ≤ B.$$

Where I can find applications of the above result?

• What's the link with Shannon entropy? – kodlu Jan 22 at 23:14
• For example in neurocomputing: Application of wavelet energy and Shannon entropy for feature extraction in gearbox fault detection under varying speed conditions – user124297 Jan 23 at 3:58