| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
hi,
I am looking for references on WAVELETS or any kind of time-frequency
representations.
Does anyone has heard about?
marcel
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 955.1 | such things exist | CTCADM::ROTH | Lick Bush in '88 | Fri Oct 21 1988 19:01 | 4 |
It sounds like you want a joint time/frequency representation such
as the Wigner distribution, but you'll have to be more specific.
- Jim
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| 955.2 | more on wavelets | PRSUD1::CHALEAT | Tue Oct 25 1988 05:34 | 27 | |
thanks,you are right.
I have seen time-frequency representation of signals showing much
more features than the usual one obtained from Fourier transform.
The underlying maths exceed my level ,and look rather esoteric
at least for me !
At the last european signal processing conference it was a paper
on "time scale representations obtained with wavelets".
I can send you a copy if you are interested and if you provide
me your mail address.
Basically the transform for a signal s(t) is:
S(t,a) = // s(b) f((t-b)/a) db
from which is derived
S(t,a) = // g^'(au) s^(u) exp(jtu) du
where g is the analyzing wavelet which is a bell shaped pulse
I used following symbols:
up arrow ^ for fourier transform
apostroph ' for complex conjugation
pair of back slashes // for the integral symbol.
marcel
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