0
$\begingroup$

Using the mother wavlet $phi$ one obtains an orthonormal basis $\phi_{j,k}(x):=2^{j/2}\,\phi(2^j\,x-k)$of L^2 (on the unit interval say). Given a function $f$ on can calculate the coefficients using the $L^2$ inner product. For the Fourier series on can use the discrete fourier transform to do this. How can the discrete wavlet transform be used to calculate the coefficients, here? Does anyone know a good reference?

Thanks,

warsaga

Improve this question
$\endgroup$
2
  • $\begingroup$ For practitioners I recommend Mallat's "Wavelet Tour of Signal Processing". $\endgroup$
    – Dirk
    Commented May 4, 2012 at 18:26
  • $\begingroup$ In the way you stated the question it is to vague: I think if you would make it more precise, then it will attract more attention. $\endgroup$
    – Kirill Shmakov
    Commented May 4, 2012 at 19:14

2 Answers 2

Reset to default
2
$\begingroup$

The best reference I found was www2.isye.gatech.edu/~brani/wp/kidsA.pdf

Still not completly satisfactory since the discrete Wavlet transform of the Wavelet psi funciton should just yield one nonzero coefficient.

Improve this answer
$\endgroup$
1
$\begingroup$

Take a look also at a nice paper "Discrete Wavelet Transformations and Undergraduate Education" at http://www.ams.org/notices/201105/rtx110500656p.pdf.

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .