> True. Or to say that the FFT of the white noise sample should contain
> all frequencies.
Is the DFT of a one sample pulse then white noise? :-)
I.e., your condition is necessasary but not sufficient.
Bob
--
"Things should be described as simply as possible, but no
simpler."
A. Einstein
Reply by Robin Clark●February 21, 20052005-02-21
On Fri, 18 Feb 2005 00:17:28 +0000, Rune Allnor wrote:
> Path:
> newsbe2-gui.ntli.net!newspeer1-win.ntli.net!news-out.ntli.net!newsrout1-gui
> .ntli.net!ntli.net!pe1.news.blueyonder.co.uk!blueyonder!pe2.news.blueyonder
> .co.uk!blueyonder!proxad.net!proxad.net!216.239.36.134.MISMATCH!postnews.go
> ogle.com!o13g2000cwo.googlegroups.com!not-for-mail
> From: "Rune Allnor" <allnor@tele.ntnu.no>
> Newsgroups: comp.dsp
> Subject: Re: white Noise
> Date: 18 Feb 2005 00:17:28 -0800
> Organization: http://groups.google.com
> Lines: 27
> Message-ID: <1108714648.131147.157470@o13g2000cwo.googlegroups.com>
> References: <cv1qs4$9uv$1@rzsun03.rrz.uni-hamburg.de>
> <1108641498.680806.320920@c13g2000cwb.googlegroups.com>
> <1108644282.360825.175590@c13g2000cwb.googlegroups.com>
> NNTP-Posting-Host: 193.71.9.232
> X-Trace: posting.google.com 1108714652 16781 127.0.0.1 (18 Feb 2005 08:17:32
> GMT)
> X-Complaints-To: groups-abuse@google.com
> NNTP-Posting-Date: Fri, 18 Feb 2005 08:17:32 +0000 (UTC)
> In-Reply-To: <1108644282.360825.175590@c13g2000cwb.googlegroups.com>
> User-Agent: G2/0.2
> Complaints-To: groups-abuse@google.com
> Injection-Info: o13g2000cwo.googlegroups.com; posting-host=193.71.9.232;
> posting-account=ufFYdQwAAAA_zWZBwYAkRO8kgyInHw79
> Xref: newspeer1-win.ntli.net comp.dsp:170814
> X-Received-Date: Fri, 18 Feb 2005 08:16:26 GMT (newsbe2-gui.ntli.net)
> MIME-Version: 1.0
> Content-Type: text/plain; charset=iso-8859-1
>
>
>
> bryant_j_j@yahoo.com wrote:
>> no, his question is not clear at all.
>
> Agreed.
>
>> what does he mean by "describe
>> white noise by a mathamatical function", is it a mathematical
> function
>> for every sample path of a discrete-time white noise process or a
>> description of the autocorrelation function. the first is impossible
> to
>> do.
>
> Wrong. It is possible to describe white noise as
>
> "a time sequence/function that is drawn from a statistical
> distribution that has the statistical propaerties of white
> noise"
>
> and write it in mathemathical symbolic lingo. That would, technically
> speaking, be a "mathemathical description of white noise". Whether
> the description would be *useful* for anything, is a completely
> different question.
>
> Rune
True. Or to say that the FFT of the white noise sample should contain
all frequencies.
Reply by Rune Allnor●February 18, 20052005-02-18
bryant_j_j@yahoo.com wrote:
> no, his question is not clear at all.
Agreed.
> what does he mean by "describe
> white noise by a mathamatical function", is it a mathematical
function
> for every sample path of a discrete-time white noise process or a
> description of the autocorrelation function. the first is impossible
to
> do.
Wrong. It is possible to describe white noise as
"a time sequence/function that is drawn from a statistical
distribution that has the statistical propaerties of white
noise"
and write it in mathemathical symbolic lingo. That would, technically
speaking, be a "mathemathical description of white noise". Whether
the description would be *useful* for anything, is a completely
different question.
Rune
Reply by Abdul●February 17, 20052005-02-17
white noise generated by the pseudo random generator has an autocorrelation
function as an Impulse. So, Mathematically can we describe pseudo random
noise wtih an Impulse ??.
"Gary Marsh" <dont@spam.me.plz> schrieb im Newsbeitrag
news:Eh0Rd.49605$K54.31711@edtnps84...
> Abdul wrote:
> > It is possible to describe white noise by a mathamatical function ??
>
> Depends on your definition of noise.
>
> True random noise? no, you can't mathematically represent it.
>
> Noise produced by a pseudo-random number generator of some sort? yes,
> represent it using the mathematical function which implements the PRNG.
>
> GM
Reply by ●February 17, 20052005-02-17
no, his question is not clear at all. what does he mean by "describe
white noise by a mathamatical function", is it a mathematical function
for every sample path of a discrete-time white noise process or a
description of the autocorrelation function. the first is impossible to
do.
Reply by Gary Marsh●February 17, 20052005-02-17
Abdul wrote:
> It is possible to describe white noise by a mathamatical function ??
Depends on your definition of noise.
True random noise? no, you can't mathematically represent it.
Noise produced by a pseudo-random number generator of some sort? yes,
represent it using the mathematical function which implements the PRNG.
GM
Reply by Rune Allnor●February 17, 20052005-02-17
Abdul wrote:
> It is possible to describe white noise by a mathamatical function ??
Yes.
I could elaborate provided you give a very convincing
argument that your question has nothing to do with any
kind of homework.
Rune
Reply by Abdul●February 17, 20052005-02-17
It is possible to describe white noise by a mathamatical function ??