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01/28/05 02:57
Modified:
  01/28/05 03:05

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#85978 - Series termination methode
Responding to: ???'s previous message
Erik said:
How can a resistor in series with a high impedance input terminate a line?

Assume you have two points in space, A and B, which you connect by a pair of wires, let's say a twisted pair. The distance between point A and B shall be 1m, or so. At point A is a voltage source, which drives a constant voltage into the twisted pair cable. At point B is a reciever providing infinite input impedance.

If we change very slowly the output voltage of driver A, then we will see exactly the same potential at reciever B. It seems that the potential change at point A can immediately be seen at reciever B. No delay seems to occur. And as we make the changes of potential only very slowly, we will even not be able to see any delay.

We are now in the domain of electrostatics. We can arbitrarily change (very slowly, or course) any potential in such a system and will immediately see the reaction at different places, whereever we feed this potential to by our cable.

Of course we know from physics courses, that the change will not immediately occur at reciever B, but this will not have any noticable consequences for us.
And even if we make one fast change of potential at driver A, we know what the reaction will be at reciever B if we wait for a suited time, the same as if we had made the change very slowly.

So, for steady state conditions we can solve all our potential problems by the laws of electrostatics. Our twisted pair is only a piece of wire which transports the potential from driver A to reciever B. The special shape of this cable doesn't play any role, it can be a pair of straight wires of 1m length or a cable turn of 10km length, two chains, parts of the chassis of a car, or whatsoever.

Situation totally changes if we make very fast changes of potential at driver A. Then we will notice a certain delay between the change of potential at driver A and the reaction at reciever B. We will notice, that the 'fast change' travels with a certain velocity, which is very high but finite. We will also notice, that the 'fast change' will be reflected, when reaching either end of cable, unless termination impedance at ends of cable shows a very certain value.

Physical analysis shows, that the wire is no longer transporting a constant potential, but a wave packet. This wave packet is made from electrical and magnetical fields, which show a certain coupling and which must fullfill certain conditions. We are no longer in the domain of electrostatics, but electrodynamics. And with electrodynamics our twisted pair no longer easily and immediately transports a constant potential from point A to point B, but opposes now a bottle neck for the fast travelling wave packet representing the sudden change of potential at point A.

If we put directly at output of driver A a series resistance before the signal goes into the cable, and if we choose this resistance so that total source impedance of driver exactly matches the characteristic impedance of cable, then a voltage dividing of exactly factor 2 will take place. Means, if your sudden change at output of driver A is a transition from 0V to 5V, then a transition from 0V to only 2.5V can be measured at entering point of cable. So, a square wave of only 2.5V amplitude will travel along the cable.

If the edge reaches the end of cable and there's an infinite load impedance, then a total reflection occurs. It's the same as if you throw a ball against a wall without having losses due to friction or else. If the ball is totally reflected by the wall, then the wall recieves the double of the momentum the ball had before the reflection. Similar with our transmission line, the total reflection without losses results in a doubling of potential. So, what we see at reciever B is not a square wave of 2.5V amplitude but 5V!

We are not able to notice at reciever B, that the signal has travelled along a transmission line. The only we could detect is a more or less slight increase of rise time of edge, if we compare the rise times of signal at point A and B.

The signal which is echoed at reciever B travells back to driver A and is totally absorbed because source impedance of driver A exactly matches characteristic impedance of cable. This total absorption results in two things: 1. No further reflection occurs at driver A, and 2. the absorbed portion of wave packet superimposes to original signal, resulting in a change of potential at cable entry to finally 5V.

In opposition to situation at reciever B, where no staircase signal can be seen but a true 0V-to-5V transition, at entry of cable (at driver A) a staircase signal can be observed, consisting of two steps, a 0V-to-2.5V transition and then 2.5V-to-5V transition.

Transmission line effects, means this echoing stuff, will occur, if the rise time of signal is in the same range as the time period the signal needs to travel from point A to B. If the rise time is very low, then we will not notice this echoing, because there's no distinct sudden change. Or by other words: A smooth edge can be represented by an infinite number of infinitely small sudden changes, where all these infinite separate reflections overlap and smear. No distinct reflection can be seen.

Each digital chip family has it's certain maximum cable length, where no cable termination is urgently needed. Normally, the slowlier a chip is the longer the cable may be. For 74HCMOS the maximum cable length is about 20cm, if I remember correctly.

Kai

List of 242 messages in thread
TopicAuthorDate
BIG I/O expansion            01/01/70 00:00      
   Like I said            01/01/70 00:00      
      Carry on            01/01/70 00:00      
   As i said before            01/01/70 00:00      
   Fanout            01/01/70 00:00      
      Great idea, but 2 things            01/01/70 00:00      
         Thanx Sasha            01/01/70 00:00      
   Why?            01/01/70 00:00      
      Yep, nice guess            01/01/70 00:00      
   outputs            01/01/70 00:00      
      I really need'em and can't multiplex'em            01/01/70 00:00      
         But why??            01/01/70 00:00      
         Can't you go serial?            01/01/70 00:00      
            Serial??            01/01/70 00:00      
            output of a CPLD            01/01/70 00:00      
               using CPLD outputs ..            01/01/70 00:00      
                  To buffer or not to buffer            01/01/70 00:00      
                     to buffer or not            01/01/70 00:00      
   timing problems            01/01/70 00:00      
   what on earth are you doing            01/01/70 00:00      
      Exactly!            01/01/70 00:00      
   complaints and more info.            01/01/70 00:00      
      Don't worry            01/01/70 00:00      
      Consensus - not conspiracy!            01/01/70 00:00      
      Head Bashing            01/01/70 00:00      
         Head banging            01/01/70 00:00      
      more questions            01/01/70 00:00      
      Summary of data and a suggestion            01/01/70 00:00      
         A typo correction.            01/01/70 00:00      
   well            01/01/70 00:00      
   More info. on the project            01/01/70 00:00      
      More info?            01/01/70 00:00      
      thevenin terminations on LE signals            01/01/70 00:00      
         Cable            01/01/70 00:00      
            Termination must exactly match!            01/01/70 00:00      
               Explanation            01/01/70 00:00      
   Stranger and stranger            01/01/70 00:00      
      Humor            01/01/70 00:00      
         Russel            01/01/70 00:00      
            tolerance goes both ways            01/01/70 00:00      
   Bingo !            01/01/70 00:00      
   Bingo !            01/01/70 00:00      
      repeating myself            01/01/70 00:00      
         bare CPLD            01/01/70 00:00      
            Not professional?            01/01/70 00:00      
   Forget about the second Bingo ! :)            01/01/70 00:00      
      Payam            01/01/70 00:00      
         The new decoder            01/01/70 00:00      
   Cos i am just too good to you :)            01/01/70 00:00      
      Wouldn't this be a bit expensive?            01/01/70 00:00      
   Trifle expensive            01/01/70 00:00      
      synchronous design            01/01/70 00:00      
         synchronicity            01/01/70 00:00      
   Not really            01/01/70 00:00      
      ...but there are clocks            01/01/70 00:00      
   a total mess            01/01/70 00:00      
      Dear Eric            01/01/70 00:00      
         Why didn't you just say....            01/01/70 00:00      
            Sub-micros and RS485            01/01/70 00:00      
         wrong approach            01/01/70 00:00      
            here are the links (I forgot)            01/01/70 00:00      
            Eric            01/01/70 00:00      
               serial/parallel            01/01/70 00:00      
                  Cables, Multiplexing            01/01/70 00:00      
                     more on MPX            01/01/70 00:00      
                        sunlight            01/01/70 00:00      
                           more on sunlight            01/01/70 00:00      
                              Could you please explain more?            01/01/70 00:00      
                                 Where is the current limiting from            01/01/70 00:00      
                                 more explaining            01/01/70 00:00      
                           LEDs are in danger!            01/01/70 00:00      
                              4538ing is nice            01/01/70 00:00      
                              What about this            01/01/70 00:00      
                              instead of 4538            01/01/70 00:00      
                                 all over the globe            01/01/70 00:00      
                                    RE: to do what            01/01/70 00:00      
                                       no need if non-mpx            01/01/70 00:00      
                  Question to Erik            01/01/70 00:00      
                     ST2221            01/01/70 00:00      
               EMI!            01/01/70 00:00      
                  not out, but in            01/01/70 00:00      
                  Transmitting parallel            01/01/70 00:00      
                     Series termination            01/01/70 00:00      
                        correct impedance of series termination            01/01/70 00:00      
                           termination            01/01/70 00:00      
                              Output current            01/01/70 00:00      
                                 Kai, is that right?            01/01/70 00:00      
                                    Series termination methode            01/01/70 00:00      
                                       serial termination, got it            01/01/70 00:00      
                                    series termination            01/01/70 00:00      
                                 cable of 100Ohm            01/01/70 00:00      
                                    Of course!            01/01/70 00:00      
                              used for parallel of thevenin terminatio            01/01/70 00:00      
                           Impedance of flat ribbon cable            01/01/70 00:00      
                              anyhow, termination may not be needed            01/01/70 00:00      
                                 Is needed for 2m long cables!            01/01/70 00:00      
                                    that long not needed            01/01/70 00:00      
                                       Agreed            01/01/70 00:00      
                                 re: termination may not be needed            01/01/70 00:00      
                              Thanx Kai            01/01/70 00:00      
                              Flat cable characteristic impedance            01/01/70 00:00      
                                 Look closely...            01/01/70 00:00      
                                    the the            01/01/70 00:00      
                                    Doh!            01/01/70 00:00      
                                       Initial Misconception            01/01/70 00:00      
                                          I can't even spell that...            01/01/70 00:00      
                        ferrite            01/01/70 00:00      
                           ground is part of signal path            01/01/70 00:00      
                              Vcc IS part of the signal path            01/01/70 00:00      
                                 Vcc PIN is part of signal path            01/01/70 00:00      
                           Depends on what you want to filter            01/01/70 00:00      
                              PC power supply            01/01/70 00:00      
                                 4700micro is too high            01/01/70 00:00      
                                    paralell            01/01/70 00:00      
                                       This cannot work!            01/01/70 00:00      
                                          we have a problem            01/01/70 00:00      
                                             Kai, Eric            01/01/70 00:00      
                                                you need to think            01/01/70 00:00      
                                                paralell resistor current limiter !            01/01/70 00:00      
                                                   Thanks Farshid, Reinforcing PC power sup            01/01/70 00:00      
                                                      Reinforcing PC power            01/01/70 00:00      
   Jan            01/01/70 00:00      
      We don't understand each other            01/01/70 00:00      
         What if only BIG I expansion            01/01/70 00:00      
            Your Own Thread            01/01/70 00:00      
      Metastability            01/01/70 00:00      
   how about            01/01/70 00:00      
   Maybe            01/01/70 00:00      
      Divide the problem            01/01/70 00:00      
      Own ideas            01/01/70 00:00      
      sidesteps            01/01/70 00:00      
   Thanks            01/01/70 00:00      
   I dunno Kai..            01/01/70 00:00      
      I dunnoJez            01/01/70 00:00      
      Agreed            01/01/70 00:00      
         CE radiation            01/01/70 00:00      
   Thanx for criticisims from Eric & Kai            01/01/70 00:00      
      the original poster            01/01/70 00:00      
         Eric, Kai            01/01/70 00:00      
            if you can't explain            01/01/70 00:00      
               paralell resistor current limiter !            01/01/70 00:00      
      Then, why don't you discuss it?            01/01/70 00:00      
         taking our warnings seriously and discus            01/01/70 00:00      
      world record            01/01/70 00:00      
         world record +1            01/01/70 00:00      
   Eric            01/01/70 00:00      
      Cost Is Final Issue            01/01/70 00:00      
         lowest cost            01/01/70 00:00      
            Yeah.......            01/01/70 00:00      
            now drop the multiplex            01/01/70 00:00      
      Let's compare parallel vs. serial            01/01/70 00:00      
         Time to confess            01/01/70 00:00      
            simple bitbang            01/01/70 00:00      
               something ain't mising here?            01/01/70 00:00      
                  more            01/01/70 00:00      
               not even that...            01/01/70 00:00      
                  you can, but            01/01/70 00:00      
                  Cool            01/01/70 00:00      
      urband legends            01/01/70 00:00      
      No influence            01/01/70 00:00      
   This heart of mine on fire            01/01/70 00:00      
      HC595's and ULN2803's            01/01/70 00:00      
         typpo            01/01/70 00:00      
         column xistors            01/01/70 00:00      
            Instantaneous!            01/01/70 00:00      
               saturation and off state not on and off            01/01/70 00:00      
                  What is a 'xistor'??            01/01/70 00:00      
                     Okay, transistor            01/01/70 00:00      
                     xistor            01/01/70 00:00      
                  Saturation and Gain            01/01/70 00:00      
                     FETs and gate capacitance            01/01/70 00:00      
                        Fets Vs Transistors            01/01/70 00:00      
                           Which MOSFET            01/01/70 00:00      
                           More Qs on P-MOSFETs            01/01/70 00:00      
                              Best text ...            01/01/70 00:00      
                              Mosfets            01/01/70 00:00      
                              Low 'Ugs' and low 'Ron' is crucial!            01/01/70 00:00      
                                 Bingo!            01/01/70 00:00      
                                 Soft-start circuit            01/01/70 00:00      
      answers and comments            01/01/70 00:00      
         ghosting            01/01/70 00:00      
            what            01/01/70 00:00      
               ghosting            01/01/70 00:00      
                  ok            01/01/70 00:00      
                     this is probably not the case with Payam            01/01/70 00:00      
                        no, worse            01/01/70 00:00      
            P-MOSFETs            01/01/70 00:00      
         typicals            01/01/70 00:00      
            These probably might go            01/01/70 00:00      
            yes, you are and so what            01/01/70 00:00      
               "them" explained            01/01/70 00:00      
   another solution            01/01/70 00:00      
   Serial is a must!            01/01/70 00:00      
      Serial is not a must!            01/01/70 00:00      
   Additional facts            01/01/70 00:00      
      Multiprocessor?            01/01/70 00:00      
      To ULN or not to ULN            01/01/70 00:00      
         ULN2803, human eye response            01/01/70 00:00      
            typical again            01/01/70 00:00      
         consider everything            01/01/70 00:00      
         Equivalent brightness with pulsing            01/01/70 00:00      
      Re: Additional facts            01/01/70 00:00      
         You put many of them...            01/01/70 00:00      
            Re: You put many of them            01/01/70 00:00      
               the matrix revisited            01/01/70 00:00      
   here are some more additional facts            01/01/70 00:00      
      NFI            01/01/70 00:00      
         Me, not subtle ???            01/01/70 00:00      
            Subtle as a brick!            01/01/70 00:00      
   one little detail            01/01/70 00:00      
      30° is it enough?            01/01/70 00:00      
   Calculating ... please wait!            01/01/70 00:00      
      answers/comments            01/01/70 00:00      
         six-layer boards?            01/01/70 00:00      
            no 2 layers possible            01/01/70 00:00      
               6 layer for 20$???            01/01/70 00:00      
                  here            01/01/70 00:00      
                     PCB discussion extracted            01/01/70 00:00      
               a trace about 1 inch            01/01/70 00:00      
                  20A on a 2mm track!            01/01/70 00:00      
                  holy smoke            01/01/70 00:00      
                     Okay.            01/01/70 00:00      
                        again            01/01/70 00:00      
                           colloquialism            01/01/70 00:00      
               Calculating a bit...            01/01/70 00:00      
                  'Three' layer design            01/01/70 00:00      
                     layers - LED - EMI            01/01/70 00:00      
                        LEDs don't understand ground bounce            01/01/70 00:00      
                           But the four 74HC595 and ULN2804 do!            01/01/70 00:00      
                              595s don't, ULN ... not important            01/01/70 00:00      
                                 not so            01/01/70 00:00      
                           Ground bounce            01/01/70 00:00      
                              Sure, shall take care of it.            01/01/70 00:00      
      Don't underestimate heat dissipation!            01/01/70 00:00      
   Kai            01/01/70 00:00      
      Payam            01/01/70 00:00      
         less complex/less expensive            01/01/70 00:00      
         Did you try the multiplex?            01/01/70 00:00      
            Yes            01/01/70 00:00      
            go ahead and try            01/01/70 00:00      
            Square root increase            01/01/70 00:00      
               Distributed power supply            01/01/70 00:00      

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