Let the mean of the random proces x(t) be a constant Let the mean of the random proces y(t) be a constant Let the variance of the random proces x(t) be a constant Let the variance of the random proces y(t) be a constant Let x(t) be independent of y(t) Let F be the discrete fourier transform Is the mean and variance of F[x(t)] and F[x(t)] still a constant ? Is F[x(t)] independent of F[y(t)] ?? --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com). Version: 6.0.776 / Virus Database: 523 - Release Date: 12-10-2004
Question. FFT and Random Processes
Started by ●October 22, 2004
Reply by ●October 23, 20042004-10-23
On Fri, 22 Oct 2004 23:24:43 +0200, "Bamse" <bamse@kyllingen.dk> wrote:>Let the mean of the random proces x(t) be a constant >Let the mean of the random proces y(t) be a constant >Let the variance of the random proces x(t) be a constant >Let the variance of the random proces y(t) be a constant >Let x(t) be independent of y(t) > >Let F be the discrete fourier transform > >Is the mean and variance of F[x(t)] and F[x(t)] still a constant ? > >Is F[x(t)] independent of F[y(t)] ?? >Read your textbok very carefully and you'll find the answers to your questions. [-Rick-]
Reply by ●October 23, 20042004-10-23
But don't waste any of your money on the Rick Lyons' textbooks because his attitude is anti those who wish to learn, as demonstrated below? "Rick Lyons" <r.lyons@_BOGUS_ieee.org> wrote in message news:417a612c.144089234@news.sf.sbcglobal.net...> On Fri, 22 Oct 2004 23:24:43 +0200, "Bamse" <bamse@kyllingen.dk> > wrote: > >Let the mean of the random proces x(t) be a constant > >Let the mean of the random proces y(t) be a constant > >Let the variance of the random proces x(t) be a constant > >Let the variance of the random proces y(t) be a constant > >Let x(t) be independent of y(t) > >Let F be the discrete fourier transform > >Is the mean and variance of F[x(t)] and F[x(t)] still a constant ? > >Is F[x(t)] independent of F[y(t)] ?? > Read your textbok very carefully > and you'll find the answers to > your questions.
Reply by ●October 23, 20042004-10-23
On 2004-10-23 16:22:37 +0200, "Airy R. Bean" <me@privacy.net> said:> But don't waste any of your money on the Rick Lyons' > textbooks because his attitude is anti those who > wish to learn, as demonstrated below?..or those who wish to cheat when others do the work. This is obviously some kind of homework problem, so I'd say Rick is right not to answer it. -- Stephan M. Bernsee http://www.dspdimension.com
Reply by ●October 23, 20042004-10-23
I don't agree - if Mr.Lyons wishes to make a name for himself as a text-book author (which also implies him being an effective teacher) there are better ways to tease out from someone what it is that they don't understand and to lead them to the knowledge that they seek, without sneering at them. DSP is an essentially mathematical, and therefore abstract, pursuit, and you won't educate people to whom you are aggressive - you need to be in a suitably relaxed frame of mind to take on abstract concepts. As he has presented himself, Mr.Lyons seems to owe more to what I term the pompous way of writing text books which has such ego-tripping comments such as , "left as an exercise to the reader", or, "it is obvious that....." "Stephan M. Bernsee" <spam@dspdimension.com> wrote in message news:2tv92vF24hm0lU1@uni-berlin.de...> On 2004-10-23 16:22:37 +0200, "Airy R. Bean" <me@privacy.net> said: > > But don't waste any of your money on the Rick Lyons' > > textbooks because his attitude is anti those who > > wish to learn, as demonstrated below? > ..or those who wish to cheat when others do the work. This is > obviously some kind of homework problem, so I'd say Rick is right not > to answer it. > Stephan M. Bernsee > http://www.dspdimension.com >
Reply by ●October 23, 20042004-10-23
Airy, when you've written your own textbook, we might pay closer attention to your objections. For now, I'll keep my bets on Rick. --Randy "Airy R. Bean" <me@privacy.net> writes:> I don't agree - if Mr.Lyons wishes to make a name for himself as > a text-book author (which also implies him being an effective teacher) > there are better ways to tease out from someone what it is that > they don't understand and to lead them to the knowledge that > they seek, without sneering at them. > > DSP is an essentially mathematical, and therefore abstract, > pursuit, and you won't educate people to whom you are > aggressive - you need to be in a suitably relaxed frame of > mind to take on abstract concepts. > > As he has presented himself, Mr.Lyons seems to owe more to > what I term the pompous way of writing text books which has > such ego-tripping comments such as , "left as an exercise to > the reader", or, "it is obvious that....." > > "Stephan M. Bernsee" <spam@dspdimension.com> wrote in message > news:2tv92vF24hm0lU1@uni-berlin.de... >> On 2004-10-23 16:22:37 +0200, "Airy R. Bean" <me@privacy.net> said: >> > But don't waste any of your money on the Rick Lyons' >> > textbooks because his attitude is anti those who >> > wish to learn, as demonstrated below? >> ..or those who wish to cheat when others do the work. This is >> obviously some kind of homework problem, so I'd say Rick is right not >> to answer it. >> Stephan M. Bernsee >> http://www.dspdimension.com >> > >-- % Randy Yates % "I met someone who looks alot like you, %% Fuquay-Varina, NC % she does the things you do, %%% 919-577-9882 % but she is an IBM." %%%% <yates@ieee.org> % 'Yours Truly, 2095', *Time*, ELO http://home.earthlink.net/~yatescr
Reply by ●October 23, 20042004-10-23
as a matter of a fact it is not a homework assignment. it is an honest question that I have a hard time answering myself, so I turn to this newsgroup in hope that somebody more wise than me can help me... --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com). Version: 6.0.782 / Virus Database: 528 - Release Date: 22-10-2004
Reply by ●October 23, 20042004-10-23
"Airy R. Bean, village idiot" <me@privacy.net> asked his keeper to write in message news:2tv8cjF24kbvfU6@uni-berlin.de...> But don't waste any of your money on the Rick Lyons' > textbooks because his attitude is anti those who > wish to learn, as demonstrated below? >whereas your attitude is anti-everybody except Airy R. Bean, or whatever you think your name is this week. ...(_!_)...
Reply by ●October 23, 20042004-10-23
If you choose to base your conclusions on the fact that text books have been written irrespective of whether those text books are correct, then more fool you. "Randy Yates" <yates@ieee.org> wrote in message news:6551l33d.fsf@ieee.org...> Airy, when you've written your own textbook, we might pay > closer attention to your objections. For now, I'll keep my > bets on Rick.
Reply by ●October 23, 20042004-10-23
In which case, could you expand your questions a little more and I'll certainly try to help you. I have found this NG as a whole to be somewhat immature in their attitudes towards those who seek the truth about DSP rather than accepting religious beliefs that are founded upon unsound mathematics. Like all religious loonies, when you question their beliefs, they become emotive and insulting in their manners. "Bamse" <bamse@kyllingen.dk> wrote in message news:cle90u$gt7$1@news.cybercity.dk...> as a matter of a fact it is not a homework assignment. > it is an honest question that I have a hard time answering myself, so Iturn> to this newsgroup in hope that somebody more wise than me can help me...
