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		<title>imported&gt;Constant314: /* Terminology in section Gain margin and phase margin */ Reply</title>
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		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Terminology in section Gain margin and phase margin: &lt;/span&gt; Reply&lt;/p&gt;
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==Straight lines==&lt;br /&gt;
&lt;br /&gt;
&amp;quot;It is especially useful in this case because the complex curves that appear in a linear magnitude-frequency plot can often be approximated by straight lines in a Bode plot.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
:Can&amp;#039;t it &amp;#039;&amp;#039;always&amp;#039;&amp;#039; be approximated by straight lines?  Isn&amp;#039;t that how a Bode plot is drawn?  It&amp;#039;s just that the approximations are not so accurate for certain systems?  Specifically, what are the straight line asymptotes for a [[Chebyshev filter]]? - [[User:Omegatron|Omegatron]] 16:36, May 17, 2005 (UTC)&lt;br /&gt;
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::I suppose the question is how accurately can it be approximated by straight lines (and how many straight lines you are going to use). [[User:RJFJR|RJFJR]] 16:43, 6 October 2005 (UTC)&lt;br /&gt;
&lt;br /&gt;
:::Actually, I think it&amp;#039;s more accurate (and correct) if the break frequencies are located at the radial distance from the pole/zero to the imaginary axis...  &amp;lt;small&amp;gt;—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/99.235.205.120|99.235.205.120]] ([[User talk:99.235.205.120|talk]]) 23:02, 18 February 2008 (UTC)&amp;lt;/small&amp;gt;&amp;lt;!-- Template:UnsignedIP --&amp;gt; &amp;lt;!--Autosigned by SineBot--&amp;gt;&lt;br /&gt;
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==lowpass filter needs image==&lt;br /&gt;
&lt;br /&gt;
The comment about RC lowpass filter should ahve an image, but that is a particularly simple case so we probably want a more complicated one too.  (Preference to bode-phase plot, I&amp;#039;d say). [[User:RJFJR|RJFJR]] 16:43, 6 October 2005 (UTC)&lt;br /&gt;
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:Image added. :-)  — [[User:Omegatron|Omegatron]] 19:51, 8 October 2005 (UTC)&lt;br /&gt;
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==simples rules?==&lt;br /&gt;
&lt;br /&gt;
The article says: &amp;quot;&amp;#039;&amp;#039;These asymptotic approximations are useful because they can be drawn by hand following a few simple rules.&amp;#039;&amp;#039;&amp;quot;,&lt;br /&gt;
&lt;br /&gt;
but it doesn&amp;#039;t say what they are. I think its talking about the rules:&lt;br /&gt;
:For a transfer function in the form &amp;lt;math&amp;gt; H(s) = A \prod \frac{(N_n)^{a_n}}{(D_n)^{b_n}} &amp;lt;/math&amp;gt;&lt;br /&gt;
:: where s = j&amp;amp;omega;, N is a numerator term, D is a denominator term, and H is the transfer function.&lt;br /&gt;
* start with a straight line at H(0)&lt;br /&gt;
* at every value of s where N = 0 (a zero), increase the slope of the line by 20*&amp;lt;math&amp;gt;a_n&amp;lt;/math&amp;gt; dB per decade.&lt;br /&gt;
* at every value of s where D = 0 (a pole), decrease the slope of the line by 20*&amp;lt;math&amp;gt;b_n&amp;lt;/math&amp;gt; dB per decade.&lt;br /&gt;
For some reason s is equivalent to -&amp;amp;omega; when graphing. My explanation here isn&amp;#039;t very well written, and probably has incorrect explanation. It would be very nice if someone could add this sort of thing onto the page. [[User:Fresheneesz|Fresheneesz]] 22:16, 4 May 2006 (UTC)&lt;br /&gt;
&lt;br /&gt;
: It&amp;#039;s covered in the external links, too.  I was going to add it to the article, but haven&amp;#039;t gotten around to it.  You know how it is... — [[User:Omegatron|Omegatron]] 23:12, 4 May 2006 (UTC)&lt;br /&gt;
&lt;br /&gt;
:: Heh, yea, I&amp;#039;m only learning about them, so anything I might add is subject to stupidity. But maybe I&amp;#039;ll hazard it anyway. [[User:Fresheneesz|Fresheneesz]] 01:57, 5 May 2006 (UTC)&lt;br /&gt;
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== complex poles and zeros ==&lt;br /&gt;
&lt;br /&gt;
Needs something on complex poles and zeros - I&amp;#039;m not up for it. [[User:Fresheneesz|Fresheneesz]] 09:37, 14 May 2006 (UTC)&lt;br /&gt;
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==Merge==&lt;br /&gt;
I have suggest that [[Bode plotter]] be &amp;#039;&amp;#039;&amp;#039;Merge&amp;#039;&amp;#039;&amp;#039;d to [[Bode plot]]. [[User:24.126.199.129|24.126.199.129]] 21:51, 22 August 2006 (UTC)&lt;br /&gt;
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==NonMinimum Phase?==&lt;br /&gt;
&lt;br /&gt;
whadaya think about adding stuff about TFs w/ -s+xn in the numerator or den. or other combinations of that sort? &amp;lt;small&amp;gt;—The preceding [[Wikipedia:Sign your posts on talk pages|unsigned]] comment was added by [[Special:Contributions/128.46.105.66|128.46.105.66]] ([[User talk:128.46.105.66|talk]]) 17:05, 8 December 2006 (UTC).&amp;lt;/small&amp;gt;&amp;lt;!-- HagermanBot Auto-Unsigned --&amp;gt;&lt;br /&gt;
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==EngineersExcel.com==&lt;br /&gt;
&lt;br /&gt;
Recently [http://www.engineersexcel.com/Tools/Bode%20Plot/Description.htm EngineersExcel.com Excel Bode Plotter] was added by [[User:Nitin]] [[Special:Contributions/Nitin.mehta]] and then removed by [[User:Dicklyon]] claiming is was an ad site, about a proprietary product. I&amp;#039;ve reviewed the site and I can&amp;#039;t see anything wrong with it that breaks [[WP:EL]]. The Excel spreadsheets can be freely downloaded and used. As an engineer I would find tools like this useful. I &amp;#039;&amp;#039;&amp;#039;propose&amp;#039;&amp;#039;&amp;#039; keeping the link. --Rehnn83 16:58, 8 January 2007 (UTC)&lt;br /&gt;
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:It&amp;#039;s OK with me if you decide it&amp;#039;s worth keeping.  My removal was based on the editor who was doing nothing but linking this site, so presumably a typical conflict-of-interest spam.  The proprietary product I refer to is Excel. [[User:Dicklyon|Dicklyon]] 18:26, 8 January 2007 (UTC)&lt;br /&gt;
:ps. you can see from the site&amp;#039;s main page that the editor is associated with it: [http://engineersexcel.com/]. So he should not be linking it; he should ask here and see if someone independent deems it worthwhile. [[User:Dicklyon|Dicklyon]] 18:28, 8 January 2007 (UTC)&lt;br /&gt;
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:I can see your point, however I think Excel is a fairly common tool/programme and the worksheet would help with someones understanding of Bode Plots and therefore would benefit the article. For now I&amp;#039;m going to leave the article as it is for now pending further discussion. - [[User:Rehnn83|Rehnn83]] 20:27, 8 January 2007 (UTC)&lt;br /&gt;
&lt;br /&gt;
== &amp;quot;Unstable&amp;quot; poles and zeros ==&lt;br /&gt;
&lt;br /&gt;
If a pole (or zero) is negative, its phase contribution should be the opposite, right? Anyone can confirm this?&lt;br /&gt;
(by the way) we really need to write something about complex poles or zeros)&lt;br /&gt;
--[[User:Arcturus4669|Arcturus4669]] 21:56, 5 June 2007 (UTC)&lt;br /&gt;
&lt;br /&gt;
:No, poles and zeros are not signed. [[User:Dicklyon|Dicklyon]] 22:04, 5 June 2007 (UTC)&lt;br /&gt;
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::Sorry, I used the wrong word. I mean &amp;quot;unstable&amp;quot; poles and zeros (that is, having a positive real part leading to a diverging exponential contribute), such as the zero in&lt;br /&gt;
::&amp;lt;math&amp;gt;G(t) = \frac{s-3}{s+1}&amp;lt;/math&amp;gt;&lt;br /&gt;
::--[[User:Arcturus4669|Arcturus4669]] 15:18, 6 June 2007 (UTC)&lt;br /&gt;
&lt;br /&gt;
:::Oh, right, you mean right-half-plane poles and zeros (the zeros aren&amp;#039;t unstable, but the poles are).  Yes, they make the phase go the other way.  [[User:Dicklyon|Dicklyon]] 17:52, 6 June 2007 (UTC)&lt;br /&gt;
&lt;br /&gt;
::::Ok, I added the information. Feel free to change wording to whatever is the usual way to refer to positive-real-part singularities in English (in Italy we generally refer to them as &amp;quot;unstable&amp;quot; zeros and &amp;quot;non minimum phase&amp;quot; systems) --[[User:Arcturus4669|Arcturus4669]] 13:28, 10 June 2007 (UTC)&lt;br /&gt;
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== Application ==&lt;br /&gt;
&lt;br /&gt;
The article is unclear about what are the purposes and applications of Bode plots. Can somebody just add a line about this? [[User:Riki|Riki]] 08:34, 18 August 2007 (UTC)&lt;br /&gt;
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== poles, zeros and corner frequencies ==&lt;br /&gt;
&lt;br /&gt;
I have a question please.&lt;br /&gt;
As the transfer function is complex, and the poles y&amp;lt;sub&amp;gt;n&amp;lt;/sub&amp;gt; and zeros  x&amp;lt;sub&amp;gt;n&amp;lt;/sub&amp;gt; are real. &lt;br /&gt;
As I understand the bode plot, is the transfer function as it is on the imaginary axis (s=jw). The question then is, why are poles or zeros on the real axis of the transfer function create corners and phase changes on the imaginary axis, at the same value of frequency as the pole or zero?&lt;br /&gt;
&lt;br /&gt;
is it becasue the form of the transfer function over the complex domain? or is it because at corner frequecies, by definition there is rise or fall of &amp;lt;math&amp;gt;\sqrt{2}&amp;lt;/math&amp;gt; of the transfer function?&lt;br /&gt;
&lt;br /&gt;
[[User:Jackovo|Jackovo]] ([[User talk:Jackovo|talk]]) 19:26, 27 April 2009 (UTC)&lt;br /&gt;
&lt;br /&gt;
:The poles and zeros can be on the real axis, or anywhere in the complex plain.  But in the simple case of real poles and zeros, the answer is as you seem to see; at the corners, you&amp;#039;re root-2 further from the pole that you are at DC (at s = 0); near DC, distance doesn&amp;#039; change much with frequency; far above the corner, distance is almost equal to frequency.  The tranfer function gain is proportional to that distance (for a zero) or inversely proportional (for a pole).  That&amp;#039;s about all there is to it. [[User:Dicklyon|Dicklyon]] ([[User talk:Dicklyon|talk]]) 23:27, 27 April 2009 (UTC)&lt;br /&gt;
&lt;br /&gt;
== Pronunciation of Bode ==&lt;br /&gt;
&lt;br /&gt;
The Bode Plot wiki page says that Bode should be pronunced as &amp;quot;bod&amp;#039;-duh&amp;quot;. But I have always heard it pronounced as &amp;quot;bo-dee&amp;quot;, and I can&amp;#039;t find any other sources on the web that support &amp;quot;bod&amp;#039;-duh&amp;quot;. The sources I find are:&lt;br /&gt;
&lt;br /&gt;
* bo-day - [http://www.diracdelta.co.uk/science/source/b/o/bode%20plot/source.html - from the UK] &lt;br /&gt;
* bow-day - [http://www.reliabilitydirect.com/appnotes/transientanalysis.html]&lt;br /&gt;
* Boady - [http://www-users.aston.ac.uk/~norriswt/ControlNotes/C_decibels+Bode+example%20in%20time.pdf] &lt;br /&gt;
* BO-dee - [http://everything2.com/title/Bode+plot ]&lt;br /&gt;
* boh dee - [http://www.analog.com/static/imported-files/tutorials/MT-033.pdf]&lt;br /&gt;
* bodee - [http://controls.engin.umich.edu/wiki/index.php/BodePlots] &lt;br /&gt;
* boh dee - [http://books.google.com/books?id=pTqI98FJYlYC&amp;amp;pg=PA13&amp;amp;lpg=PA13&amp;amp;dq=pronounce+bode+plot&amp;amp;source=bl&amp;amp;ots=JEjqXxBHZK&amp;amp;sig=DSIu3rTNkxPhm55LO4w_0LO9xZw&amp;amp;hl=en&amp;amp;ei=r0ODSqPzIY3J-Qbi_9SRAg&amp;amp;sa=X&amp;amp;oi=book_result&amp;amp;ct=result&amp;amp;resnum=8#v=onepage&amp;amp;q=&amp;amp;f=false]&lt;br /&gt;
&lt;br /&gt;
Shouldn&amp;#039;t the Bode Plot wiki page say that the pronunciation is &amp;quot;bo-dee&amp;quot;? I guess it should be pronounced the same way Hendrik Wade Bode pronounced his name - is info available that definitively indicates how his name was pronounced?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;span style=&amp;quot;font-size: smaller;&amp;quot; class=&amp;quot;autosigned&amp;quot;&amp;gt;—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/216.112.109.138|216.112.109.138]] ([[User talk:216.112.109.138|talk]]) 22:51, 13 August 2009 (UTC)&amp;lt;/span&amp;gt;&amp;lt;!-- Template:UnsignedIP --&amp;gt; &amp;lt;!--Autosigned by SineBot--&amp;gt;&lt;br /&gt;
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:You are right. His colleagues pronounced his name as &amp;quot;Boh-dee&amp;quot; and this is the prevalent pronunciation. His family preferred the traditional dutch pronunciation of &amp;quot;boh&amp;#039;-dah&amp;quot;. Please see also [[Hendrik Wade Bode]]. [[User:Tasoskessaris|Dr.K.]] &amp;lt;small&amp;gt;[[User talk:Tasoskessaris|logos]]&amp;lt;/small&amp;gt; 00:17, 14 August 2009 (UTC)&lt;br /&gt;
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:The edit ([http://en.wikipedia.org/w/index.php?title=Bode_plot&amp;amp;diff=307299222&amp;amp;oldid=304835480 this diff]) that said &amp;quot;boady&amp;quot; cited a source that gave three pronunciations ([http://www-users.aston.ac.uk/~norriswt/ControlNotes/C_decibels+Bode+example%20in%20time.pdf this pdf]); that&amp;#039;s why I reverted it.  If we&amp;#039;re going to change the article and cite a source, we need to at least be a little more true to what it says.  [[User:Dicklyon|Dicklyon]] ([[User talk:Dicklyon|talk]]) 00:40, 14 August 2009 (UTC)&lt;br /&gt;
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::Historian Valkenburg in his IEEE &amp;quot;In memoriam&amp;quot; paper specifically mentions that he wanted to disambiguate the matter once and for all and provided verbatim the pronunciation that I just inserted into the article. I am sure you can verify this paper by going to any university Library. [[User:Tasoskessaris|Dr.K.]] &amp;lt;small&amp;gt;[[User talk:Tasoskessaris|logos]]&amp;lt;/small&amp;gt; 01:19, 14 August 2009 (UTC)&lt;br /&gt;
::In the same paper Van Valkenburg mentions that his family preferred the Dutch version &amp;quot;Boh-dah&amp;quot; but that his colleagues at Bell Labs called him &amp;quot;Boh-dee&amp;quot; and that Bode did not object. [[User:Tasoskessaris|Dr.K.]] &amp;lt;small&amp;gt;[[User talk:Tasoskessaris|logos]]&amp;lt;/small&amp;gt; 02:57, 14 August 2009 (UTC)&lt;br /&gt;
&lt;br /&gt;
&amp;quot;...His colleagues at Bell Labs called him &amp;quot;&amp;#039;Boh-dee&amp;#039;&amp;quot; -- but that does not explain how he, himself, pronounced the name.  If the family pronounced it per the Dutch &amp;quot;Boh-du, then that would be correct despite his non-objection to the mispronunciation by his colleagues.&lt;br /&gt;
&lt;br /&gt;
== Appendix ==&lt;br /&gt;
&lt;br /&gt;
The integral couldn&amp;#039;t be split that way, if the latter part didn&amp;#039;t vanish, because the rule of splitting integrals does only hold true for finite integrals. Therefore one can skip directly to the limit. The condition h has to fulfill to lead to a well-defined limes is vanishing faster than &amp;lt;math&amp;gt;\frac{1}{t}&amp;lt;/math&amp;gt; for large t, because u is bounded and the term therefore of the form &amp;lt;math&amp;gt; \frac{c}{t^\alpha} &amp;lt;/math&amp;gt; for &amp;lt;math&amp;gt; \alpha &amp;gt; 1 &amp;lt;/math&amp;gt;, which is an Integral known to converge.  &amp;lt;small class=&amp;quot;autosigned&amp;quot;&amp;gt;—&amp;amp;nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/92.73.143.160|92.73.143.160]] ([[User talk:92.73.143.160|talk]]) 22:05, 8 December 2015 (UTC)&amp;lt;/small&amp;gt;&amp;lt;!-- Template:Unsigned IP --&amp;gt; &amp;lt;!--Autosigned by SineBot--&amp;gt;&lt;br /&gt;
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== &amp;quot;However, with the advent of low cost computing, it is often taken nowadays to mean the precise plot of the actual frequency response.&amp;quot; ==&lt;br /&gt;
&lt;br /&gt;
This last sentence in the lede doesn&amp;#039;t make much sense to me. How does the second part follow from the first? Should probably also have some kind of source. Should be removed? ediss 12:37, 28 September 2017 (UTC)&lt;br /&gt;
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== Add intermediary steps in first example? ==&lt;br /&gt;
&lt;br /&gt;
I&amp;#039;m looking at the first bode plot example and I was thinking that it would help readers understand the solutions if they had a better idea of what&amp;#039;s happening between each step. Is that something that would be appropriate to do here? Does the wikipedia community have any rules of thumbs on this kind of edit?--[[User:IanVG|IanVG]] ([[User talk:IanVG|talk]]) 05:03, 14 December 2020 (UTC)&lt;br /&gt;
&lt;br /&gt;
:Hello.  I understand what you are asking, but Wikipedia articles are not supposed to be how-to manuals or text-books.  But the line between a text-book and just a good comprehensive article is fuzzy and crossed all the time.  There is some discussion at [[WP:NOTTEXTBOOK]].  On the other hand, if you want to improve the article, you are welcome to try.  [[User:Constant314|Constant&amp;lt;b style=&amp;quot;color: #1100cc;&amp;quot;&amp;gt;&amp;#039;&amp;#039;314&amp;#039;&amp;#039;&amp;lt;/b&amp;gt;]] ([[User talk:Constant314|talk]]) 06:11, 14 December 2020 (UTC)&lt;br /&gt;
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== Second example is confusing ==&lt;br /&gt;
&lt;br /&gt;
I apologize for the double post here, but I think the second example is a little wordy and confusing. What exactly is the transfer function here? Could something like (s-z)/(s-p) do the trick here? I am having trouble connecting the images and plots to the concept of the Bode plot. Anyone with more knowledge than I should take some initiative here.--[[User:IanVG|IanVG]] ([[User talk:IanVG|talk]]) 05:08, 14 December 2020 (UTC)&lt;br /&gt;
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== Terminology in section Gain margin and phase margin ==&lt;br /&gt;
&lt;br /&gt;
In control engineering the term which is currently labeled as A_OL (open-loop gain), is usually called forward gain, while the gain of the complete loop beta*A_OL is called loop-gain (or open-loop-gain i.e., describing the complete loop before it is closed). In the context of negative-feedback amplifiers these terms are commonly used interchangeably, but it would be better to change the wording of the first sentence to indicate that it is an example, or to adopt the control engineering definitions throughout (which is way more work). Any chance that an edit in that direction will be accepted? [[User:SplashChoke|SplashChoke]] ([[User talk:SplashChoke|talk]]) 13:20, 24 June 2024 (UTC)&lt;br /&gt;
&lt;br /&gt;
:*Agree.  Proceed under [[WP:BEBOLD]].  Consider changing the name of A_FB also.&lt;br /&gt;
:[[User:Constant314|&amp;lt;b style=&amp;quot;color: #4400bb;&amp;quot;&amp;gt;&amp;#039;&amp;#039;Constant314&amp;#039;&amp;#039;&amp;lt;/b&amp;gt;]] ([[User talk:Constant314|talk]]) 13:26, 24 June 2024 (UTC)&lt;/div&gt;</summary>
		<author><name>imported&gt;Constant314</name></author>
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