19 Aug
2008
19 Aug
'08
1:23 p.m.
Hi all,
just a quick question so I don't look as a complete retard in my paper for a
conference:
The delta-peak contains all frequencies phase-aligned while white noise
contains all frequencies with random phase, right?
Have fun,
Arnold
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19 Aug
19 Aug
1:31 p.m.
Man, let me just say that the fact that you were able to even
formulate that question definitively demonstrates that you are not
only not a retard, but probably a lot smarter than I am.
On Tue, Aug 19, 2008 at 11:23 AM, Arnold Krille <arnold(a)arnoldarts.de> wrote:
Hi all,
just a quick question so I don't look as a complete retard in my paper for a
conference:
The delta-peak contains all frequencies phase-aligned while white noise
contains all frequencies with random phase, right?
Have fun,
Arnold
--
visit http://www.arnoldarts.de/
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20 Aug
20 Aug
7:42 p.m.
The delta-peak contains all frequencies phase-aligned
while white noise
contains all frequencies with random phase, right?
Nope, I don't think so. You can't even compare it. A dirac impulse is a signal
with a bounded energy (which is 1), whereas "white noise" refers to a
*stochastic process* that creates signals of unbounded energy. So "white
noise" refers to the *characteristics* of a random signal, "delta-peak" to
a
specific signal.
The autocorrelation function of white noise is a dirac impulse and therefore
with Wiener–Khinchin its power spectrum density (fourier transform of the
autocorrelation function) is equal for all frequencies. Since the
autocorrelation function is always symmetric, its fourier transform is a
*real* function and actually the psd does not even know about phases.
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7:45 p.m.
New subject: please note
This information was distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. :)
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21 Aug
21 Aug
8:32 a.m.
New subject: Sorry
Am Mittwoch, 20. August 2008 23:42:29 schrieb micu:
> The delta-peak contains all frequencies
phase-aligned while white noise
> contains all frequencies with random phase, right?
I thought about it again (tonight before falling asleep :) and I think, from a
practical viewpoint, you are right: If you take a signal generated by a white
noise source and fed it into the STFT, you get a constant spectrum
(approximatly); so do you, if you take a delta-peak. And the diffrence is,
that the delta-peak contains all frequencies phase-aligned while white noise
contains all frequencies with random phase. I am sorry :(.
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9:04 a.m.
New subject: Sorry
Am Donnerstag, 21. August 2008 schrieb micu:
Am Mittwoch, 20. August 2008 23:42:29 schrieb micu:
Well, thanks for thinking about it! Its good to have peer-review...
Arnold
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> The delta-peak contains all frequencies
phase-aligned while white noise
> contains all frequencies with random phase, right?
I thought about it again
(tonight before falling asleep :) and I think,
from a practical viewpoint, you are right: If you take a signal generated
by a white noise source and fed it into the STFT, you get a constant
spectrum (approximatly); so do you, if you take a delta-peak. And the
diffrence is, that the delta-peak contains all frequencies phase-aligned
while white noise contains all frequencies with random phase. I am sorry
:(.
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5 comments
3 participants
participants (3)
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Arnold Krille -
micu -
Nick Thomas