[music-dsp] Applications of Walsh functions

Vitaliy Lavruhin vsl9 at yandex.ru
Fri Feb 25 10:02:35 EST 2005


On Friday 25 February 2005 13:49, Dave Gamble wrote:

> I found a really good book on this. Bachmann, Narici, Beckenstein
> "Fourier and Wavelet Analysis" (ISBN: 0387988998)

I'll try to find it.

> The trick is to get your head around the general concept of a basis
> decomposition, and then
> to look at the resulting spectral properties of particular bases.

Do you mean here generalized Fourier transform where in place of complex 
exponential functions we can use any complete orthogonal basis (e.g., Walsh 
basis)? 

> For instance, Walsh basis functions have compact support in the time
> domain, and so noncompact support
> in the frequency domain. You can use them as wavelets, with a little
> tweaking (iirc), and get multiresolution analyses.

I don't know much about wavelets, just some basics...

> Alternatively, once you've figured out what they do, what they're for,
> and why they do do what they do, you
> can go crazy and use them for all sorts of things (PWM for pitch
> estimation, anyone?)

What is PWM?




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