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This is an old revision of this page, as edited by Splash (talk | contribs) at 20:18, 3 August 2006 (→Possible new Spotteddogsdotorg sockpuppet: reply). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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Destabilized

I wish you would have told me before you reverted me, rather than after. Ral315 (talk) 12:36, 2 August 2006 (UTC)

I would have respected your decision a lot more; that's all. I'm bold, but I don't mind being reverted- it's just a personal thing. Ral315 (talk) 12:39, 2 August 2006 (UTC)

Rayleigh fading

I have been thinking about this for some time...in Rayleigh fading, where you have the model distribution

${\displaystyle p_{R}(r)={\frac {r}{\sigma ^{2}}}e^{-r^{2}/2\sigma ^{2}},\ r\geq {}0\ \ \ \ (1)}$

I wonder if it might be better to define say, ${\displaystyle \Omega =2\sigma ^{2}}$, and set this quantity as the reference total power? After all, the radial distribution arises from the summation of two Gaussians, so, I wonder whether it is necessary that both of these components contribute only half of the total. What do you think? --HappyCamper 03:29, 24 July 2006 (UTC)

I'll have to check with a textbook on that... -Splash - tk 16:00, 24 July 2006 (UTC)

So your suggestion is the version that Proakis uses directly in the relevant equation (14-1-23 in my 3rd Edition). I wanted to avoid introducing a dummy variable of ${\displaystyle \Omega }$ because it seems to obfuscate things rather. It is a condition of the Rayleigh distribution that the two constituent variables have equal variance (Proakis, p. 45), but I'm not quite sure what question you're asking in that regard.

In eq. (2-1-128), Proakis uses the equation that I preferred in the article and I have just checked my mental arithmetic on that. Using the gamma-function-based expression for ${\displaystyle \mathbb {E} (R^{k})}$ (eq. 2-1-130), I am missing a factor of 1/2 in my definition of ${\displaystyle \sigma ^{2}}$ so that it is really:

${\displaystyle \sigma ^{2}={\frac {1}{2}}\mathbb {E} (R^{2}),}$

whereas using your ${\displaystyle \Omega }$ as Proakis does later, drops the factor of 2 in exchange for an amended PDF of:

${\displaystyle p_{R}(r)={\frac {2r}{\Omega }}e^{-r^{2}/\Omega }\ \ \ \ (2).}$

I'm not sure which representation I prefer. Now I look at it again, I realise that really there is a dummy variable either way: I was just thinking in terms of ${\displaystyle \sigma ^{2}}$ being a variance, when it isn't for the Rayleigh distribution anyway (it is just the variance of the two underlying iid's). The tradeoff is in a slightly non-standard representation of the PDF (2) versus the standard in (1). I think for simplicity I prefer (2). So we should change it, then, right? In any case, the article as it stands is wrong, so I'll just dive in I think. -Splash - tk 20:04, 2 August 2006 (UTC)

Possible new Spotteddogsdotorg sockpuppet

JianLi (talk · contribs) seems to be making some similar edits to this sockpuppet group. --CFIF (talk to me) 20:24, 2 August 2006 (UTC)

José is Fluid (talk · contribs) might also be another sock. --CFIF (talk to me) 16:47, 3 August 2006 (UTC)

I am not a sockpuppet. A simple check of my IP address and my user contributions (which significantly predate the AFD discussions) will confirm this. JianLi 17:22, 3 August 2006 (UTC)

No, I'm not convinced that you are. -Splash - tk 19:10, 3 August 2006 (UTC)

Jose is Fluid on the other hand, almost certainly is. -Splash - tk 19:10, 3 August 2006 (UTC)

Why does this mean his entire talk page gets blanked?! You all are acting a little peculiarly. Can you explain what this is all about? What is this supposed sock master doing? —Wknight94 (talk) 19:56, 3 August 2006 (UTC)

Uh, he is sock puppeting, that's what sockpuppeteers do. I have taken to blanking his talk pages because he uses them to hold conversations between his socks backing up his case on whatever his issue du jour is; you can find the previous, minimal, entries in the history if you have a need for them. He uses sockpuppets in the classic manner: he uses them to back himself in AfDs (sometimes carefully choosing both side of the debate), he uses them to to back himself up on talk pages, to engage in edit wars avoiding 3RR etc. It is not peculiar to stop him from doing so. If he would only edit benignly like everyone else, there would be no problem. -Splash - tk 20:18, 3 August 2006 (UTC)