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s-plane; Laplace; Smith book

Started by waltech October 31, 2009
hi,

I would like some clarification on Smith's description
on p. 544.  The material is discussed between p. 537 - p. 544
Specifically, the regions of convergence, or value boundedness, or
no-convergence in the s-place.

Q:
On the surface, it looks fine.  However, the details of the specific
descriptions of the pole/zero a-e fig 30-4 appear to me confusing 
(as far as I can understand the  material ). It appears the LHS 
and RHS descriptions are reversed again based on the text.
For example, Smith says there is not a stable system in the RHS !!
Perhaps someone could clarify the poles/zero a-e description ??

background:
I see he uses a sigma that is substituted
into exp(sigma) rather than exp(- (sigma) ).
This results in the exponential growth on the LHS of the
complex chart. Another EE. circuits text shows the exponential
growth on the RHS. Of course the e-decay is on the other side.

I can accept this.  

However, the example description on p.544 which uses fig 30-4 is 
confusing.  The book error list shows nothing on this.

This book is extememely helpful to my learning DSP,
and has inspired me to revisit a quite old EE circuit text 
by Huelsman, which again, as far as my understanding, appears
at odds.  I'd prefer the clarification to be directly on the Smith
content.

thanks,


Walt.....

On Sat, 31 Oct 2009 11:53:48 -0500, "waltech" <waltechmail@yahoo.com>
wrote:

>hi, > >I would like some clarification on Smith's description >on p. 544. The material is discussed between p. 537 - p. 544 >Specifically, the regions of convergence, or value boundedness, or >no-convergence in the s-place. > >Q: >On the surface, it looks fine. However, the details of the specific >descriptions of the pole/zero a-e fig 30-4 appear to me confusing >(as far as I can understand the material ). It appears the LHS >and RHS descriptions are reversed again based on the text. >For example, Smith says there is not a stable system in the RHS !! >Perhaps someone could clarify the poles/zero a-e description ??
[Snipped by Lyons] Hello Walt, I'll bet someone here can help you. But we'll need to know: * Which Smith book (exact title & publisher) you're reading. * Which Edition of that book. * Which printing number. * Exactly which lines, on which pages, did you find the statement that "there is not a stable system in the RHS"? I, for one, don't know what those words mean. Anyway, Regards, [-Rick-]
>background: >I see he uses a sigma that is substituted >into exp(sigma) rather than exp(- (sigma) ). >This results in the exponential growth on the LHS of the >complex chart. Another EE. circuits text shows the exponential >growth on the RHS. Of course the e-decay is on the other side. > >I can accept this. > >However, the example description on p.544 which uses fig 30-4 is >confusing. The book error list shows nothing on this. > >This book is extememely helpful to my learning DSP, >and has inspired me to revisit a quite old EE circuit text >by Huelsman, which again, as far as my understanding, appears >at odds. I'd prefer the clarification to be directly on the Smith >content. > >thanks, > > >Walt.....
Rick Lyons wrote:

   ...

> Hello Walt, > I'll bet someone here can help you. > But we'll need to know: > > * Which Smith book (exact title & publisher) you're reading. > * Which Edition of that book. > * Which printing number. > * Exactly which lines, on which pages, did you find the > statement that "there is not a stable system in the RHS"? > I, for one, don't know what those words mean.
The book "Scientist and Engineers' Guide ..." is on line at http://dspguide.com. If that is the book under discussion, then the URL of the specific chapter should put everyone on the same page, as it were. ... Jerry -- Engineering is the art of making what you want from things you can get. &#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;
hi Rick and Jerry,

forgot to mention:
the Book is first edition, hardback, and is identical to the
online version.

"The Scientist and Engineer's guide to Digital Signal Processing".
California Technical Publishing".

I did a reply to your emails using the http://dsprelated website
submittal as "reply to group ".  The form was initially blank so I dont
know if the reply will reach the newsgroup properly.
I did another reply to, and the right prior text is in the form.
(this form ). In an hour, I'll know if the submittal is good.

thanks,
Walt .........


>hi, > >I would like some clarification on Smith's description >on p. 544. The material is discussed between p. 537 - p. 544 >Specifically, the regions of convergence, or value boundedness, or >no-convergence in the s-place. >
[remainder cut ]
waltech wrote:
> hi Rick and Jerry, > > forgot to mention: > the Book is first edition, hardback, and is identical to the > online version.
Can't be. The on-line version has at least been augmented with material from the second edition.
> "The Scientist and Engineer's guide to Digital Signal Processing". > California Technical Publishing".
... Jerry -- Engineering is the art of making what you want from things you can get. &#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;