[SI-LIST] Re: Why Termination at Both End ?

  • From: steve weir <weirsi@xxxxxxxxxx>
  • To: si-list@xxxxxxxxxxxxx
  • Date: Wed, 24 Aug 2011 21:50:13 -0700

Ihsan, set-up a simulation and you can see this easily.  What is 
required is for the sum of the return wave front and the incident wave 
front to cancel at the junction of the transmission line and the source 
termination resistor.  This will happen when:

1. The signal duty cycle is 50%,  AND
2. The transmitter + series termination matches the impedance of the 
transmission line, AND
3. The receive end is an open circuit, AND
3. The round-trip propagation delay is one phase interval.

In this case, the incident wave launches into the Tx line with 
0.5*deltaVtx.  At the far end the open line causes a +1 reflection.  
After a full round trip, this +1 reflection arrives just as the 
transmitter sends the next signal edge of opposite polarity n(2x+1) = 
-0.5*deltaVtx.  The returning wavefront identically cancels the incident 
wavefront at the junction of the resistor and the Tx line.  Because the 
transmitter termination matches the line, there is no reflection back 
towards the receiver.  Consequently, no ISI results.  This is just a 
source terminated circuit operating properly under a special condition 
that can be confusing to an observer.

Going back to Sen's case, the transmit termination does not match the 
line, and so ISI does travel back towards the receiver corrupting the 
receive signal.  If as in the case above we the round trip matches the 
phase interval, then old opposing edges will align on incident edges.  
For things like clocks and other timing strobes, that's a bad, bad, thing.

The RF theory is straight forward:  The Tx line 1/4 wave resonance seen 
by the composite drive circuit depends only on what is at the far end of 
the transmission line.  An open at the far-end causes a reflection that 
sends energy back up the line.  For an open, a line that is 1/4 
wavelength one-way the returning energy is always counterphase to the 
driver.   Using a matched series termination, this doubles the current 
load supplied by the driver.  Since the driver was matched to the line 
before and current was vdeltaTx/(Zterm + Zline), and is now 
vdeltaTx/(Zterm), algebraically the line looks like a short circuit.

Steve.

On 8/24/2011 9:16 PM, Ihsan Erdin wrote:
> Alfred,
> The RF theory explanation to this seemingly mysterious phenomenon doesn't
> sound convincing to me for two reasons. First, how is it possible that the
> far end open circuit is transformed to a near end short circuit while the
> near end is already terminated by a resistor? Second, if it were really
> transformed to a short then you should have observed zero volt not the
> average dc voltage which is half the clock voltage swing. The only plausible
> explanation is that the average dc voltage must be the result of the
> matching or almost matching near end termination-line impedance relation.
>
> In this case the answer has more to do with the transmission line reflection
> theory than the standing wave theory you brought about. Let's test this
> argument with the numbers. Your clock has a period of about 6ns. With a 50%
> duty cycle its bit time (i.e. high/low logic time) will be 3ns. But this is
> pretty much the two way prop delay for a 10" long PCB trace on FR4. When
> your pulse reached the receiver side it doubled in amplitude (reflection
> from open) and started to travel back to the terminated near end. Its
> arrival at the near end after 3ns coincided with the following logic low
> sunk by the driver. So when you probed it at the near end termination what
> you really observed was nothing but a series of back-to-back high pulses;
> alternating between the original signal from the driver and the far end
> reflection, with the latter simply filling in the original logic low time.
> To an unsuspecting eye this whole phenomenon should look like dc at about
> half the voltage swing with possible glitches at the logic transition times
> (i.e. rising/falling edges) that will look like noise.
>
> I personally didn't try this in the lab nor simulated it. This is nothing
> but a gedanken experiment which can be easily put to test by a 5-10 line
> long spice netlist. If the good old reflection theory is correct I bet
> you'll observe what I describe here with this interesting coincidence
> between the electrical line length and the clock period.
>
> Should we worry about the receiver then? No, because the reflected wave will
> be absorbed by the near end (matching) load and the receiver will not
> experience this bizarre dc-looking waveform, hence no problem there. Thus,
> with properly terminated lines one doesn't need to worry about the line
> electrical length and wavelength ratios in the constraint settings. As
> usual, most of our concerns for long lines should come from the less sexy
> copper/dielectric losses at high frequencies.
>
> Regards.
>
> Ihsan
>
> On Wed, Aug 24, 2011 at 12:40 PM, alfred1520list
> <alfred1520list@xxxxxxxxx>wrote:
>
>> ----- Original Message -----
>> From:<Peter.Pupalaikis@xxxxxxxxxx>
>> Sent: Wednesday, August 24, 2011 12:03 AM
>>
>>> Steve's comments reminded me of a situation we were discussing about a
>> chip
>>> design the other day.  That is, if you do have an imperfect (or purposely
>>> bad) termination at the receiver end (like a high-impedance), then try
>> not
>>> to evaluate any performance by looking at the waveform at the source - it
>>> may look horrible and in the case of a clock, it is possible that the
>>> voltage waveform is nearly non-existent, while the waveform at the
>> receive
>>> end looks fine.
>> I can attest to this.  It happened on a pretty mundane situation.  I
>> thought I'll
>> share so some one like myself a few years ago would benefit.
>>
>> We have a 148.5 MHz video clock driving a relatively long trace, around 10"
>> long,
>> that's in the inner layer.  As usual we only source series terminate it.
>>   So when
>> we have some video problems, we look at the clock line.  Since we don't
>> have
>> easy access to the end of the line, we looked at the down stream side of
>> the series termination resistor, THERE IS NO CLOCK, just a
>> constant DC line with a little
>> bit of noise.  How could it have ever worked?  After some series head
>> scratching
>> and pondering, we realized this is exactly the situation that Peter
>> described.
>>
>> Looking from the RF antenna engineering point of view, this should be
>> obvious.  When the transmission line is exactly 1/4 the wave length, it
>> becomes
>> a 1/4 wave transformer that transforms the open circuit at the far end to a
>> short
>> at the near end, hence the flat line.  DC is not affected by the
>> transformer so you
>> see only the DC average of the waveform.
>>
>>
>> Best Regards,
>> Alfred Lee
>>
>> http://www.mds.com
>>
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>


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Steve Weir
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