[SI-LIST] Re: 50 Ohm Via?
- From: Vinu Arumugham <vinu@xxxxxxxxx>
- To: scott@xxxxxxxxxxxxx
- Date: Fri, 11 Jan 2008 11:48:56 -0800
The pad/anti-pad capacitance also seem to increase the effective
propagation delay. I get better results using transmission line models
with 190 ps/in for 1mm pitch BGA vias and 210 ps/in. for older backplane
connector vias on FR4 boards.
Thanks,
Vinu
Scott McMorrow wrote:
> Joel
> As along as the via is short w.r.t. the signal bandwidth, the excess
> capacitance of the pads can be lumped into the transmission line
> approximation. You could break apart a via, layer by layer, with
> accurate PEEC RLC modeling, but it would not buy you anything for
> modeling of most signals. It is only when you are concerned about
> energy injected into the planes, via electrical lengths that approach
> 1/5 of the signal bandwidth, or via stub lengths that approach about
> 1/10 of the signal bandwidth, that more detailed modeling is generally
> necessary.
>
> As a first approximation, compute your via and via stub delay, and then
> simulate the via with 30 ohm single-ended transmission lines. If the
> simulation works, you're probably good to go, as long as you don't have
> some awful via coupling going on. Then do a frequency sweep on the
> circuit to determine where the worst-case quarter wave resonance cutoff
> is. Once you find the quarter wave resonant frequency, you'll find that
> at about 1/2 of that frequency your circuit has about -3 to -6 dB of
> extra loss. If you're operating within one to two octaves of the
> quarter wave stub resonance, it's a good idea to do more detailed
> modeling, redesign your vias, or drill them out.
>
> regards,
>
> Scott
>
> Scott McMorrow
> Teraspeed Consulting Group LLC
> 121 North River Drive
> Narragansett, RI 02882
> (401) 284-1827 Business
> (401) 284-1840 Fax
>
> http://www.teraspeed.com
>
> Teraspeed® is the registered service mark of
> Teraspeed Consulting Group LLC
>
>
>
> Joel Brown wrote:
>
>> Scott,
>>
>>
>>
>> I like that approach because it is simple and easy to understand and
>> simulate.
>>
>> The question I have is does it take into account the capacitance of
>> the via?
>>
>> I know that greater capacitance translates to lower impedance, so does
>> varying the impedance in effect include the effects of the via
>> capacitance or does it have to be considered as a separate lumped
>> element from the via transmission line model?
>>
>>
>>
>> Thanks -- Joel
>>
>>
>>
>>
>>
>> ------------------------------------------------------------------------
>>
>> *From:* Scott McMorrow [mailto:scott@xxxxxxxxxxxxx]
>> *Sent:* Thursday, January 10, 2008 8:07 PM
>> *To:* wolfgang.maichen@xxxxxxxxxxxx
>> *Cc:* Joel Brown; Aubrey_Sparkman@xxxxxxxx; luant@xxxxxxxxxxx;
>> si-list@xxxxxxxxxxxxx; si-list-bounce@xxxxxxxxxxxxx
>> *Subject:* [SI-LIST] Re: 50 Ohm Via?
>>
>>
>>
>> In general, I agree with Wolfgang.
>>
>> If you want a good approximation for the time domain behavior of a
>> via, just do a simple transmission line simulation and substitute a
>> short transmission line for the via and the via stub. For thin
>> boards, like the 0.09" board mentioned, try your simulations with a
>> 30,35,40,45 and 50 ohm. A via in an 0.090" FR4 board will have a
>> total length of around 15-16 ps. (prop delay of a signal in FR4 with
>> an Er = 4.0 is approximately 170ps/in). The trace to trace path
>> through the via is modeled as an in-line transmission line, and the
>> stub is modeled as an open stub transmission. Both will have the same
>> impedance, with their delay computed by multiplying the section length
>> in inchs by 170ps (for FR4).
>>
>> This type of model will correctly show the stub quarter wave
>> resonances, any ringing due to impedance discontinuity, and half-wave
>> resonances that occur between the via and other vias, connectors,
>> trace mismatches ... etc. Although the model is approximate, it will
>> give you a good feel for how vias affect signal transmission.
>> Transient simulations will show ISI effects, whereas frequency sweeps
>> will show the more critical frequency domain behavior.
>>
>> Some engineers get hung up on how a via may respond to a particular
>> edge rate. However, signal edges are quickly filtered by package and
>> trace losses. What I find generally more important is how the via
>> structure attenuates a propagating signal at the minimum bandwidth
>> needed to receive the signal on the far end. This will usually be at
>> a frequency of 1/2 the bit rate. In that case, for PCI Express Gen 2,
>> the frequency of interest is 2.5 GHz, which is far below the bandwidth
>> required to support a 30 ps signal edge.
>>
>> If signaling period/2 >> via delay, then very little full wave signal
>> leakage into the planes will occur, and there will be insignificant
>> impact on the insertion loss of a single trace/via combination.
>>
>> Scott
>>
>>
>>
>> Scott McMorrow
>> Teraspeed Consulting Group LLC
>> 121 North River Drive
>> Narragansett, RI 02882
>> (401) 284-1827 Business
>> (401) 284-1840 Fax
>>
>> http://www.teraspeed.com
>>
>> Teraspeed® is the registered service mark of
>> Teraspeed Consulting Group LLC
>>
>>
>>
>> wolfgang.maichen@xxxxxxxxxxxx <mailto:wolfgang.maichen@xxxxxxxxxxxx>
>> wrote:
>>
>> Joel,
>> actually your numbers are borderline for being concerned. Keep in mind,
>> the 6x rule is really just a rough rule of thumb. For example, I did a
>> quick simulation for a signal with 40ps rise time (T10/90), your 7.5 ps
>> via, assuming the via impedance is 25 Ohms (i.e. it is too capacitive).
>> Looking at the simulated TDR shows a reflection of about 10%. Now is that
>> something to be concerned? Depends on your situation.
>>
>> First, a 10% reflection can cause data dependent jitter of (again, rough
>> rule of thumb) +/-(Tr x 10%/100) = +/-4 ps. That means your data eye
>> opening will shrink by 8ps. That assumes the reflection bounces oof the
>> driver and eventually makes it to the receiver. If that is an issue will
>> depend on how large the timing margins in your design are.
>>
>> Second, you may have more than one via in your path. If you are really
>> unlucky, then the reflections from both vias just coincide (e.g.
>> relfection from previous edge coming back from one via, and reflection
>> from two edges before from second via). If that happens or not will be
>> highly sensitive to your data rate and to the location of those vias. In
>> this worst case your eye degradation would now be 16ps.
>>
>> One the other hand, reflection may not matter too much if your driver is
>> impedance matched to 50 Ohms (or 100 Ohms differential). That's the case
>> for many CML drivers, but not for PECL driver (they are around 7 Ohms). In
>> this case the driver will swallow the reflection.
>>
>> Similar simple estimates and simulations can be done for e.g. rise time
>> degradation, or for the stub (e.g. approximate stub and surrounding planes
>> as a cylindrical capacitor).
>>
>>
>> The way I usually decide how much effort to put into simulation, I usually
>> start out like this:
>>
>>
>> (1) use rough rulse of thumb, order-of-magnitude-estimates, or experience
>> from previous similar situations to get a feeling where I am. Three
>> possible outcomes:
>>
>> - E.g. if the via has 7.5ps prop delay and I am using a signal from a
>> Microcontroller with 5ns rise time, I can already tell I won't have a
>> problem. Done. No need to spend a lot of time simulating this, the answer
>> would stay the same.
>>
>> - On the other hand, if my rise time is 15ps I can already tell I will
>> have a big issue. Done. No need to run a lot of simulations to find that
>> out. Instead spend the effort on figuring out fundamental improvements to
>> the design: maybe use controlled impedance vias (this may take some field
>> solver work); maybe I can reduce the board thickness. Maybe I should try
>> to avoid vias on this critical path, keep it a surface trace. And so on.
>>
>> - Finally, if it's borderline (like the case above), that's the situation
>> where I feel a good model and a good simulator adds most value, because
>> only this can tell me beforehand if I should change my design or if I am
>> fine.
>>
>>
>> (2) once I decided that I have to do more modeling and simulation, I still
>> wouldn't go straight to the most powerful, complicated, expensive piece of
>> software I can find. Oftentimes you can get very far with simple,
>> easy-to-use tools to improve your understanding. Personally I particularly
>> like the Student version of PSpice (because it can deal with differential
>> transmission lines), the TNT field solver (from Sourceforge, for 2D
>> simulations of impedance, crosstalk), and recently Gore's TLineSim (online
>> tool, http://www.tlinesim.com - lossy lines, eye diagrams and much more).
>> Other people will have different preferences, and it also depends what you
>> have access to. Note that the tools I mentioned here are all free, so you
>> don't have to go to your manager to get budget approval to start playing
>> around with. I just think that starting out simple helps understand the
>> basic issues before diving into more sophisticated tools (otherwise you
>> may spend a lot of time and effort in a top-notch tool just to find out
>> that your model bears little resemblance to real life).
>>
>> (3) finally, there are cases when you have to use more sophisticated
>> tools, but in my experience for most of us that happens less often than
>> you may think. Of course this is changing when you move to faster and
>> faster speeds. Also, I believe that understanding of the basic behavior
>> should come before going to a lot of math (or modeling). Simple tools and
>> rules of thumb will help you sanity-check any results you get back from
>> e.g. your high-end 3D simulator. A simple tool combined with good
>> understanding of your design goes much further than a complicated tool
>> that you have to trust blindly. E.g. if that full-blown 3D model predicts
>> 0.01% reflection for the via example above, that would make me highly
>> suspicious of the result, and I'd immediately go looking for the bug in my
>> model setup... which wouldn't happen if I had never estimated the rough
>> effect in the first place.
>>
>> Wolfgang
>>
>>
>>
>>
>>
>>
>>
>> "Joel Brown" <joel@xxxxxxxxxx> <mailto:joel@xxxxxxxxxx>
>> 01/10/2008 03:43 PM
>>
>> To
>> <wolfgang.maichen@xxxxxxxxxxxx> <mailto:wolfgang.maichen@xxxxxxxxxxxx>,
>> <Aubrey_Sparkman@xxxxxxxx> <mailto:Aubrey_Sparkman@xxxxxxxx>
>> cc
>> <luant@xxxxxxxxxxx> <mailto:luant@xxxxxxxxxxx>, <si-list@xxxxxxxxxxxxx>
>> <mailto:si-list@xxxxxxxxxxxxx>,
>> <si-list-bounce@xxxxxxxxxxxxx> <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> Subject
>> RE: [SI-LIST] Re: 50 Ohm Via?
>>
>>
>>
>>
>>
>>
>> Wolfgang,
>>
>> So I crunched some numbers. Assuming a PCB thickness of .09 inches and the
>> signals travels through the via from top to bottom the prop delay is 7 ps..
>> 6 times this is 42 ps. The minimum rise time for PCI express gen 1 is 50
>> ps
>> so the via impedance should not be a factor. The minimum rise time for gen
>> 2
>> is 30 ps so now whether the impedance is a factor is border line. If the
>> signal only travels half way through, now the prop delay is 3.5 ps for the
>> signal with a stub length of 3.5 ps. Does this sound right?
>>
>> Joel
>>
>>
>> -----Original Message-----
>> From: si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> [mailto:si-list-bounce@xxxxxxxxxxxxx]
>> On
>> Behalf Of wolfgang.maichen@xxxxxxxxxxxx
>> <mailto:wolfgang.maichen@xxxxxxxxxxxx>
>> Sent: Thursday, January 10, 2008 3:09 PM
>> To: Aubrey_Sparkman@xxxxxxxx <mailto:Aubrey_Sparkman@xxxxxxxx>
>> Cc: joel@xxxxxxxxxx <mailto:joel@xxxxxxxxxx>; luant@xxxxxxxxxxx
>> <mailto:luant@xxxxxxxxxxx>; si-list@xxxxxxxxxxxxx
>> <mailto:si-list@xxxxxxxxxxxxx>;
>> si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>;
>> wolfgang.maichen@xxxxxxxxxxxx <mailto:wolfgang.maichen@xxxxxxxxxxxx>
>> Subject: [SI-LIST] Re: 50 Ohm Via?
>>
>> Aubrey,
>> what I tried to say is, if the transition time through your via (or
>> through the stub hanging off) is small (rule of thumb < 16/th) of your
>> signal rise time, then in most cases the impedance of the via structure
>> does not matter much, and the reflection (and rise time degradation) from
>> the stub does not matter much (i.e. they have negligiblke influence on
>> your signal integrity). Of course there are cases when this simple rule
>> breaks down. E.g. assume a short stub with VERY small clearance to
>> surrounding planes - this will add a lot of capacitance, so even though
>> the physical length of the stub may be very short, it's parasitic
>> capacitance in combination with the transmission line impedance will
>> create an untolerably large time constant - i.e. a strong reflection, and
>> strong bandwidth degradation. But in practice such extreme cases are .
>>
>> If the via impedance is not 50 Ohms, and the transition time through the
>> via gets into the order of magnitude of your signal rise time, then you
>> will see the effects of those reflections. In this case it is necessary to
>>
>> get the via transition close to 50 Ohms as well so the reflections are
>> small.
>>
>> Wolfgang
>>
>>
>>
>>
>>
>>
>>
>> <Aubrey_Sparkman@xxxxxxxx> <mailto:Aubrey_Sparkman@xxxxxxxx>
>> 01/10/2008 11:56 AM
>>
>> To
>> <wolfgang.maichen@xxxxxxxxxxxx> <mailto:wolfgang.maichen@xxxxxxxxxxxx>,
>> <joel@xxxxxxxxxx> <mailto:joel@xxxxxxxxxx>
>> cc
>> <luant@xxxxxxxxxxx> <mailto:luant@xxxxxxxxxxx>, <si-list@xxxxxxxxxxxxx>
>> <mailto:si-list@xxxxxxxxxxxxx>,
>> <si-list-bounce@xxxxxxxxxxxxx> <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> Subject
>> RE: [SI-LIST] Re: 50 Ohm Via?
>>
>>
>>
>>
>>
>>
>> All,
>> I have not been paying close attention to this thread, so feel free to
>> blast me if I'm off base or missed something, but my reaction on what
>> I've read: If all you have to worry about is the time through the via,
>> then you probably don't have to worry about the via. My $0.02 on when
>> you really have to worry about vias is when you do a layer transition
>> that causes a dangling stub that causes a resonance in your frequencies
>> of interest. The thicker the board, the lower the frequency.
>>
>>
>> Aubrey Sparkman
>> Enterprise Engineering Signal Integrity Team
>> Dell, Inc.
>> Aubrey_Sparkman@xxxxxxxx <mailto:Aubrey_Sparkman@xxxxxxxx>
>> (512) 723-3592
>> "A Measurement for every Model and a Model for every Measurement.
>> Without Correlation, I don't believe either." - Aubrey Sparkman
>>
>>
>> -----Original Message-----
>> From: si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> [mailto:si-list-bounce@xxxxxxxxxxxxx]
>> On Behalf Of wolfgang.maichen@xxxxxxxxxxxx
>> <mailto:wolfgang.maichen@xxxxxxxxxxxx>
>> Sent: Thursday, January 10, 2008 1:02 PM
>> To: Joel Brown
>> Cc: luant@xxxxxxxxxxx <mailto:luant@xxxxxxxxxxx>; si-list@xxxxxxxxxxxxx
>> <mailto:si-list@xxxxxxxxxxxxx>;
>> si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>;
>> wolfgang.maichen@xxxxxxxxxxxx <mailto:wolfgang.maichen@xxxxxxxxxxxx>
>> Subject: [SI-LIST] Re: 50 Ohm Via?
>>
>> Joel,
>> a good estimate for the prop delay is simply
>>
>> T_prop = length / (speed_of_light x eps_r)
>>
>> where length is the length of the via, speed_of_light is 30cm/ns (or 6
>> inches/ns) - make sure lengths has the same dimension (cm or inches),
>> and eps_r is the dielectric constant (2.5 ... 4.5 for typical PCB
>> materials).
>> For example, for a board made out of FR-4 (eps_r approx 4), Of course
>> that does not take into account where the signal traces attach to the
>> via, on the other hand you wouldn't want to have any stubs hanging off
>> that are even close to 1/6th of your signal rise time.
>>
>> As for loosely vs. closely coupled, that depends. I would NOT recommend
>> leaving out the return vias simply because you have a closely coupled
>> differential pair. That would make your design very sensitive to any
>> common mode component on your signal - causing e.g. excessive EMI. There
>> have benn quite a few threads on this duscussion list in the past.
>>
>> Regards,
>>
>> Wolfgang
>>
>>
>>
>>
>>
>>
>> "Joel Brown" <joel@xxxxxxxxxx> <mailto:joel@xxxxxxxxxx>
>> 01/09/2008 08:30 PM
>>
>> To
>> <wolfgang.maichen@xxxxxxxxxxxx> <mailto:wolfgang.maichen@xxxxxxxxxxxx>,
>> <luant@xxxxxxxxxxx> <mailto:luant@xxxxxxxxxxx> cc
>> <si-list@xxxxxxxxxxxxx> <mailto:si-list@xxxxxxxxxxxxx>,
>> <si-list-bounce@xxxxxxxxxxxxx> <mailto:si-list-bounce@xxxxxxxxxxxxx> Subject
>> RE: [SI-LIST] Re: 50 Ohm Via?
>>
>>
>>
>>
>>
>>
>> Wolfgang,
>>
>> Your point about how much simulation is worthwhile is well taken.
>> I work for a small company and wear a lot of hats, I am not a full time
>> SI engineer. We do have some tools such as Hyperlynx and Hspice which in
>> my opinion have been under utilized. I know Hyperlynx claims to have
>> some GHz via modeling capability but I am not sure how accurate it is
>> and I don't think it takes the return path such as stitching vias into
>> account. I have been trying to do more simulation as time allows and
>> learning along the way.
>> It's certainly not easy to learn multiple simulation environments and
>> all the pitfalls. I have yet to get to the point to where I can
>> correlate measurements against simulations.
>>
>> How would I know what the prop delay through a via will be?
>>
>> To Chris:
>>
>> I have been reading several places that recommend using loosely coupled
>> differential pairs, that is why I mentioned 50 ohms. I know there are
>> religious beliefs about tightly coupled vs loosely coupled pairs. The
>> material I read regarding loosely coupled pairs mentioned advantages
>> such as wider trace widths for a given impedance and avoiding
>> degradation of rise time caused by coupling between signals within a
>> pair.
>>
>> Thanks - Joel
>>
>>
>> -----Original Message-----
>> From: si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> [mailto:si-list-bounce@xxxxxxxxxxxxx]
>> On
>> Behalf Of wolfgang.maichen@xxxxxxxxxxxx
>> <mailto:wolfgang.maichen@xxxxxxxxxxxx>
>> Sent: Wednesday, January 09, 2008 7:19 PM
>> To: luant@xxxxxxxxxxx <mailto:luant@xxxxxxxxxxx>
>> Cc: si-list@xxxxxxxxxxxxx <mailto:si-list@xxxxxxxxxxxxx>;
>> si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> Subject: [SI-LIST] Re: 50 Ohm Via?
>>
>> As a simple rule of thumb:
>> Usually not very important if the prop delay through the via is less
>> than about 1/6th of your signal rise time (you may be able to get away
>> with 1/4th). Rise time is much more important than bit rate or clock
>> frequency.
>>
>> As to the number of vias - this can of course aggravate the problem; but
>> on the other hand, I wouldn't attempt to design a 10 Gb/s channel and
>> put in more than maybe two vias...
>>
>> just my 2 cents
>>
>> Wolfgang
>>
>>
>>
>>
>>
>> "Tony Luan" <luant@xxxxxxxxxxx> <mailto:luant@xxxxxxxxxxx>
>> Sent by: si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> 01/09/2008 07:06 PM
>> Please respond to
>> luant@xxxxxxxxxxx <mailto:luant@xxxxxxxxxxx>
>>
>>
>> To
>> <si-list@xxxxxxxxxxxxx> <mailto:si-list@xxxxxxxxxxxxx>
>> cc
>>
>> Subject
>> [SI-LIST] Re: 50 Ohm Via?
>>
>>
>>
>>
>>
>>
>> How critical the characteristic impedance of via transition is? It
>> depends on the bit rate, channel insertion loss and the number of vias
>> on each channel.=20
>>
>> BR
>> Tony
>>
>> -----Original Message-----
>> From: si-list-bounce@xxxxxxxxxxxxx <mailto:si-list-bounce@xxxxxxxxxxxxx>
>> [mailto:si-list-bounce@xxxxxxxxxxxxx]
>> On Behalf Of Harry Selfridge
>> Sent: Wednesday, January 09, 2008 6:50 PM
>> To: 'SI LIST'
>> Subject: [SI-LIST] Re: 50 Ohm Via?
>>
>> There was an article written about controlled impedance vias several=20
>> years ago by Thomas Neu of Texas Instruments. I haven't seen any=20
>> followup articles by anyone on the subject since. You can read Neu's=20
>> article online at:
>>
>> http://www.edn.com/index.asp?layout=3Darticle&articleid=3DCA324403
>> <http://www.edn.com/index.asp?layout=3Darticle&articleid=3DCA324403> .
>>
>> Others may have experienced different results, but I've never found=20
>> controlled impedance vias to be necessary or useful. The distances=20
>> involved in a via are so short that any pretense of matching=20
>> impedance is negligible compared with other variations that you might=20
>> encounter over the full length of a signal path. One board we built=20
>> for a customer provided two signal paths, one with Neu's controlled=20
>> impedance vias, and duplicates without. Testing of the loaded board=20
>> showed no appreciable difference in performance, and the loss of=20
>> board space to the structure necessary to achieve the controlled=20
>> impedance vias was considerable.
>>
>> Regards - Harry
>>
>> At 05:51 PM 1/9/2008, you wrote:
>>
>>
>>> Is there such a thing as a design methodology for designing a PCB via
>>>
>>>
>> with
>>
>>
>>> 50 ohm impedance, or does it have to be done iteratively using a 3D
>>>
>>>
>> field
>>
>>
>>> solver?
>>> Are controlled impedance vias necessary, worthwhile or helpful for
>>> multi-gigabit serial links running at 1 to 5 Gbps?
>>>
>>>
>>>
>>> Thanks - Joel
>>>
>>>
>>
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To unsubscribe from si-list:
si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field
or to administer your membership from a web page, go to:
http://www.freelists.org/webpage/si-list
For help:
si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field
List technical documents are available at:
http://www.si-list.net
List archives are viewable at:
http://www.freelists.org/archives/si-list
or at our remote archives:
http://groups.yahoo.com/group/si-list/messages
Old (prior to June 6, 2001) list archives are viewable at:
http://www.qsl.net/wb6tpu
- Follow-Ups:
- [SI-LIST] Re: [!! SPAM] Re: Re: 50 Ohm Via?
- From: Scott McMorrow
- References:
- [SI-LIST] Re: 50 Ohm Via?
- From: wolfgang . maichen
- [SI-LIST] Re: 50 Ohm Via?
- From: Scott McMorrow
- [SI-LIST] Re: 50 Ohm Via?
- From: Joel Brown
- [SI-LIST] Re: 50 Ohm Via?
- From: Scott McMorrow
Other related posts:
- » [SI-LIST] 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- » [SI-LIST] Re: 50 Ohm Via?
- [SI-LIST] Re: [!! SPAM] Re: Re: 50 Ohm Via?
- From: Scott McMorrow
- [SI-LIST] Re: 50 Ohm Via?
- From: wolfgang . maichen
- [SI-LIST] Re: 50 Ohm Via?
- From: Scott McMorrow
- [SI-LIST] Re: 50 Ohm Via?
- From: Joel Brown
- [SI-LIST] Re: 50 Ohm Via?
- From: Scott McMorrow