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Re: [time-nuts] HP 5071A Electron Multiplier of Cesium Beam Tube

JM
John Miles
Wed, Sep 9, 2009 12:59 PM

That's an  interesting  answer.  Can you explain  what  you  mean by
"faster digital noise analysis capabilities"?

The 3048A is relatively cumbersome to use, compared to a modern phase-noise
test set with high dynamic range ADCs.  Conceptually, a software radio with
multiple ADC channels could be used to measure phase noise directly as well
as to perform other timing-related measurements.  The devil's in the
details, though, because the state of the art in digital PN measurement is
down below -170 dBc/Hz, and the front-end requirements (noise, jitter,
channel isolation...) are accordingly strict.  To compete with the better
commercial gear you need to employ cross-correlation and various other
error-cancellation techniques.  It starts to look like real work before
long.

It would be relatively trivial to build a mediocre digital PN test set, but
such an instrument probably wouldn't be useful for characterizing
high-quality crystal oscillators by itself.  It would be more challenging to
build one that could routinely compete with the 3048A's analog front end in
the general case.

The reason  this interest me is I'd like to get the low  phase noise
of a  Wenzel 100MHz ULN, but I understand the price is  $1,500 which
is a bit too high.

Wait by the river, and one will eventually come floating by.  Or...

Some guys  at  NIST got very good noise performance  with  a  DRO at
10GHz. This  is  interesting, since  MiniCircuits  sells inexpensive
low-noise microwave  amplifier  ic's  and  mixers.  So  it  might be
possible to get a low noise cavity DRO at 8GHz and  use regenerative
dividers to  get down to 1GHz (8 / 2^3), then use  injection locking
to get  down  to 10MHz. This could be an inexpensive  solution  to a
difficult problem. And you have shown you can put 10GHz on FR4, so a
Rogers pcb may not be needed:
http://www.thegleam.com/ke5fx/hpll.htm

Possibly true, but don't kid yourself: such a divider chain would cost you
way more than $1500 worth of your time.  And don't forget that you'll have
to build two to test it!

One of the biggest problems would be the effect of the DRO control loop.  I
haven't seen the NIST papers you're mentioning but the best X-band DRO I've
played with has a loop bandwidth of 300-400 kHz.  Within that bandwidth, it
will just scale up the noise of whatever you're using as a reference, so any
attempt to get low VHF phase noise with a DRO and divider chain will just
end up giving you back the noise of your reference, plus any residual
effects.

A better approach IMHO is to work on pushing the limits of what can be done
with homebrew crystal oscillators.  The excellent broadband floor of Wenzel
and similar oscillators is not due to their use of exotic crystals, but to
their use of good oscillator circuit topologies (and no buffering to speak
of).  The crystal's job is stability, not noise, and unlike low noise, good
stability is relatively cheap and trivial nowadays thanks to cheap GPS
clocks, rubidiums, and good-quality OCXOs.

So the  question is what kind of tweaking is needed to get  the best
performance in a regenerative divider, and what kind of equipment is
needed to do it? Then, is perfection really needed in order  to beat
the Wenzel  ULN?  Maybe  put  up  with  lower  performance  in the
beginning, then upgrade later.

In practice many applications for ULN-class oscillators put the broadband
floor at risk in other ways.  Very few buffer amplifiers have a noise floor
below -170 dBc/Hz, for instance.  Fortunately, apart from timing metrology,
ULNs often end up driving high-end ADCs, where the application is likely to
be a good test bed in itself.

One trick  I have found that really helps isolate circuit  blocks is
to put them on their own small island pcb, which is then soldered to
the main ground plane to hold it in place. Then find the location of
ground connections  that  give  the  lowest  crosstalk.  A brief
description is here.

Yep, totally, and the islands become reusable components in their own right.
That's a valid thing to do, although I find that when I'm that concerned
with isolation, I probably want a full shield anyway (hence the use of lots
of discrete Hammond boxes).  Sometimes even this approach is self-defeating,
as when I find that my tightly-sealed Hammond enclosures make good cavity
oscillators. :-P

-- john, KE5FX

> That's an interesting answer. Can you explain what you mean by > "faster digital noise analysis capabilities"? The 3048A is relatively cumbersome to use, compared to a modern phase-noise test set with high dynamic range ADCs. Conceptually, a software radio with multiple ADC channels could be used to measure phase noise directly as well as to perform other timing-related measurements. The devil's in the details, though, because the state of the art in digital PN measurement is down below -170 dBc/Hz, and the front-end requirements (noise, jitter, channel isolation...) are accordingly strict. To compete with the better commercial gear you need to employ cross-correlation and various other error-cancellation techniques. It starts to look like real work before long. It would be relatively trivial to build a mediocre digital PN test set, but such an instrument probably wouldn't be useful for characterizing high-quality crystal oscillators by itself. It would be more challenging to build one that could routinely compete with the 3048A's analog front end in the general case. > The reason this interest me is I'd like to get the low phase noise > of a Wenzel 100MHz ULN, but I understand the price is $1,500 which > is a bit too high. Wait by the river, and one will eventually come floating by. Or... > Some guys at NIST got very good noise performance with a DRO at > 10GHz. This is interesting, since MiniCircuits sells inexpensive > low-noise microwave amplifier ic's and mixers. So it might be > possible to get a low noise cavity DRO at 8GHz and use regenerative > dividers to get down to 1GHz (8 / 2^3), then use injection locking > to get down to 10MHz. This could be an inexpensive solution to a > difficult problem. And you have shown you can put 10GHz on FR4, so a > Rogers pcb may not be needed: > http://www.thegleam.com/ke5fx/hpll.htm Possibly true, but don't kid yourself: such a divider chain would cost you way more than $1500 worth of your time. And don't forget that you'll have to build two to test it! One of the biggest problems would be the effect of the DRO control loop. I haven't seen the NIST papers you're mentioning but the best X-band DRO I've played with has a loop bandwidth of 300-400 kHz. Within that bandwidth, it will just scale up the noise of whatever you're using as a reference, so any attempt to get low VHF phase noise with a DRO and divider chain will just end up giving you back the noise of your reference, plus any residual effects. A better approach IMHO is to work on pushing the limits of what can be done with homebrew crystal oscillators. The excellent broadband floor of Wenzel and similar oscillators is not due to their use of exotic crystals, but to their use of good oscillator circuit topologies (and no buffering to speak of). The crystal's job is stability, not noise, and unlike low noise, good stability is relatively cheap and trivial nowadays thanks to cheap GPS clocks, rubidiums, and good-quality OCXOs. > So the question is what kind of tweaking is needed to get the best > performance in a regenerative divider, and what kind of equipment is > needed to do it? Then, is perfection really needed in order to beat > the Wenzel ULN? Maybe put up with lower performance in the > beginning, then upgrade later. In practice many applications for ULN-class oscillators put the broadband floor at risk in other ways. Very few buffer amplifiers have a noise floor below -170 dBc/Hz, for instance. Fortunately, apart from timing metrology, ULNs often end up driving high-end ADCs, where the application is likely to be a good test bed in itself. > One trick I have found that really helps isolate circuit blocks is > to put them on their own small island pcb, which is then soldered to > the main ground plane to hold it in place. Then find the location of > ground connections that give the lowest crosstalk. A brief > description is here. Yep, totally, and the islands become reusable components in their own right. That's a valid thing to do, although I find that when I'm that concerned with isolation, I probably want a full shield anyway (hence the use of lots of discrete Hammond boxes). Sometimes even this approach is self-defeating, as when I find that my tightly-sealed Hammond enclosures make good cavity oscillators. :-P -- john, KE5FX
MM
Mike Monett
Fri, Sep 11, 2009 10:59 AM

"John Miles" jmiles@pop.net wrote:

That's an  interesting answer. Can you explain what  you  mean by
"faster digital noise analysis capabilities"?

The 3048A  is relatively cumbersome to use, compared  to  a modern
phase-noise test set with high dynamic range ADCs. Conceptually, a
software radio with multiple ADC channels could be used to measure
phase noise  directly as well as to  perform  other timing-related
measurements. The  devil's  in the  details,  though,  because the
state of  the  art in digital PN measurement  is  down  below -170
dBc/Hz, and  the  front-end requirements  (noise,  jitter, channel
isolation...) are  accordingly strict. To compete with  the better
commercial gear  you need to employ cross-correlation  and various
other error-cancellation  techniques. It starts to look  like real
work before long.

That is  a very interesting answer. No wonder Stein  pushes  ease of
use so much for the 5120/5125. But they are $40k to $50k  in Canada,
so obviously it's time for a new approach.

  1. Where  would  you find ADCs with enough speed  and  resolution to
    capture the  noise  signal from the phase detector?

  2. What  do current systems use for a reference oscillator  to reach
    -170dBc? I'm not talking about the 5120/5125, or the Rohde

It would be relatively trivial to build a mediocre digital PN test
set, but  such  an  instrument  probably  wouldn't  be  useful for
characterizing high-quality  crystal  oscillators  by  itself. It
would be  more  challenging  to  build  one  that  could routinely
compete with the 3048A's analog front end in the general case.

I tried  to identify the U1 and U2 ics on the A12 LNA  board  in the
11848A. The  best  I  could  come up  with  was  the  part  number -
1826-2081. But  there was no cross-reference in any of the  HP lists
on the the HP Museum.

Anyway, technology has far surpassed what was available back  in the
80's when  the 3048 was designed. Wenzel and Rubiola  both published
front ends for PN that probably match anything currently in use:

http://www.wenzel.com/pdffiles1/pdfs/lowamp.pdf

http://www.femto-st.fr/~rubiola/pdf-articles/archives/2005-arxiv-0503012v1-ampli.pdf

In "The Measurement of AM noise of Oscillators", Rubiola states "The
measurement systems  described  exhibit  the  world-record lowest
background noise."

Since AM  noise is generally less than PM noise,  the  amplifiers he
describes should  be  pretty close to state of the art.  Table  6 on
page 18 shows the noise parameters of some selected amplifiers:

http://arxiv.org/PS_cache/physics/pdf/0512/0512082v1.pdf

So the  amplifier front end doesn't appear to be the gating  item. I
think the biggest problem is to find low noise oscillators  that can
be used as a reference. One approach might be to use 8 Wenzel 100MHz
ULN's in a cross-correlation analyzer. That gets expensive.

The reason  this  interest me is I'd like to  get  the  low phase
noise of  a  Wenzel  100MHz ULN, but I  understand  the  price is
$1,500 which is a bit too high.

Wait by the river, and one will eventually come floating by. Or...

As above, I'm looking for more than one:)

Some guys  at NIST got very good noise performance with a  DRO at
10GHz. This is interesting, since MiniCircuits  sells inexpensive
low-noise microwave  amplifier  ic's and mixers. So  it  might be
possible to  get  a  low  noise  cavity  DRO  at  8GHz  and use
regenerative dividers  to  get down to 1GHz (8 /  2^3),  then use
injection locking  to  get  down  to  10MHz.  This  could  be an
inexpensive solution  to a difficult problem. And you  have shown
you can put 10GHz on FR4, so a Rogers pcb may not be needed:

Possibly true, but don't kid yourself: such a divider  chain would
cost you way more than $1500 worth of your time. And  don't forget
that you'll have to build two to test it!

I still don't see why it should take so much time to tweak. There is
not that much to adjust, and a good network analyzer should  be able
to show the response of each section. So once you have  one working,
it whould  be  easy to duplicate. And if they were  that  touchy, it
would be  difficult  to sell them commercially.  The  slightest bump
would knockthem out of spec.

But as described below, I have scrapped the whole idea. It turns out
the performance may not be much better than a Wenzel.

One of the biggest problems would be the effect of the DRO control
loop. I  haven't  seen the NIST papers you're  mentioning  but the
best X-band  DRO I've played with has a loop bandwidth  of 300-400
kHz. Within  that  bandwidth, it will just scale up  the  noise of
whatever you're  using as a reference, so any attempt  to  get low
VHF phase  noise  with a DRO and divider chain  will  just  end up
giving you  back  the noise of your reference,  plus  any residual
effects.

The idea  was  to  use the 10GHz oscillator  as  a  low  phase noise
source, then  divide down to use at lower frequencies. So it  is the
reference. One  application  would be to lock it  to  the oscillator
under test  to  make PN measurements, so the  loop  would  be pretty
slow. But it turns out the whole concept probably won't  give better
phase noise, so I scrap the idea.

Here's a bunch of links - you don't have to download them  since the
last one demolishes the concept. But here they are as a reference.

"Ultra-Low-Noise Cavity-Stabilized  Microwave  Reference Oscillator
Using An Air-Dielectric Resonator"

http://tycho.usno.navy.mil/ptti/ptti2004/paper16.pdf

Siemens App Note 002 shows the pcb layout for a 10GHz DRO:

http://www.taconic-add.com/pdf/technicalarticles--resonator-oscillator.pdf

The next paper shows the phase noise of a 10.24 GHz  x-band sapphire
oscillator divided down to 640 MHz using regenerative  dividers. The
plot in Figure 10 on page 5 shows the result is barely 15  dB better
than a  Wenzel  at 1 KHz, and it looks like the  Wenzel  pretty much
matches the performance past 10 KHz. On the other end, it looks like
a Wenzel  10 MHz crystal would match the sapphire  performance below
100Hz.

"Low Phase Noise Division From X-Band To 640mhz"

http://www.psi.com.au/Pages/LibraryPublished/fcs_2002_lnrd_paper.pdf

Since a  cavity  stabilized DRO oscillator at 10  GHz  wouldn't come
close to the performance of a sapphire, it means the  best practical
source is a Wenzel. So I scrap the idea and start looking  at better
crystal oscillators as you discuss next.

A better  approach IMHO is to work on pushing the  limits  of what
can be  done  with  homebrew  crystal  oscillators.  The excellent
broadband floor  of Wenzel and similar oscillators is  not  due to
their use of exotic crystals, but to their use of  good oscillator
circuit topologies (and no buffering to speak of).

This is  very  interesting news. I thought  it  took  excellent high
quality quartz and very good low noise circuitry.

Can you tell more about how it is done? Do you happen to know of any
schematics? What kind of crystal would be suitable? I would  be very
interested in any additional info.

The crystal's  job is stability, not noise, and unlike  low noise,
good stability is relatively cheap and trivial nowadays  thanks to
cheap GPS clocks, rubidiums, and good-quality OCXOs.

Yes, I very much agree. GPS solves a lot of problems.

So the  question  is what kind of tweaking is needed  to  get the
best performance  in  a regenerative divider,  and  what  kind of
equipment is  needed to do it? Then, is perfection  really needed
in order  to  beat  the  Wenzel  ULN?  Maybe  put  up  with lower
performance in the beginning, then upgrade later.

In practice  many applications for ULN-class  oscillators  put the
broadband floor at risk in other ways. Very few  buffer amplifiers
have a  noise floor below -170 dBc/Hz, for  instance. Fortunately,
apart from  timing metrology, ULNs often end  up  driving high-end
ADCs, where  the  application is likely to be a good  test  bed in
itself.

I thought  the  noise in a 50 ohm resistor set  the  lower  limit to
-174dBc. Modern  amplifiers are better than that. For example,  a 50
ohm resistor  has 0.894nV/sqrt(Hz) noise, but you  can  get wideband
amplifiers with 0.7nV/sqrt(Hz) noise, which is equal to the noise in
a 30.6 ohm resistor. (Of course, flicker noise is not included)

High speed adcs have very low jitter requirements to  maintain ENOB,
so anything that can improve the noise is helpful.

One trick  I have found that really helps isolate  circuit blocks
is to  put  them  on their own small island  pcb,  which  is then
soldered to the main ground plane to hold it in place.  Then find
the location  of  ground  connections  that  give  the lowest
crosstalk. A brief description is here.

Yep, totally, and the islands become reusable components  in their
own right.

That's a  valid  thing to do, although I find that  when  I'm that
concerned with  isolation,  I probably want a  full  shield anyway
(hence the use of lots of discrete Hammond boxes).  Sometimes even
this approach  is  self-defeating,  as  when  I  find  that my
tightly-sealed Hammond enclosures make good cavity oscillators.

I'm probably  preaching to the choir, but do you find  the waveguide
cutoff frequency  for the box? It's pretty easy - you can  do  it in
your head. For example, the cutoff frequency is

fc = c / 2w, where

fc = cutoff in GHz
c  = speed of light, 30 cm/ns
w  = width in cm

So a box 4 inches wide would be

fc = 30 / (2 * 10)
= 30 / 20
= 1.5 GHz

Here's a  calculator  that  gives  the  attenuation  at  any desired
frequency below cutoff:

http://www.k5rmg.org/calc/waveguide.html

Another problem  is  the pcb will resonate at  some  frequency, just
like a patch antenna.

For example, a 100mm x 50 mm (4 inch x 2 inch) pcb will  resonate at
700MHz. But  drop  the size to a 1 inch  square,  and  the resonance
moves up  to 2.768 GHz. This is a bit more difficult to  do  in your
head, so here's a calculator to help:

http://www.emtalk.com/mpacalc.php

So the trick is to use smaller parts and put them in smaller boxes.

Then fill them with Eccosorb:)

http://rfdesign.com/mag/0405rfdf1.pdf

john, KE5FX

Mike

"John Miles" <jmiles@pop.net> wrote: >> That's an interesting answer. Can you explain what you mean by >> "faster digital noise analysis capabilities"? > The 3048A is relatively cumbersome to use, compared to a modern > phase-noise test set with high dynamic range ADCs. Conceptually, a > software radio with multiple ADC channels could be used to measure > phase noise directly as well as to perform other timing-related > measurements. The devil's in the details, though, because the > state of the art in digital PN measurement is down below -170 > dBc/Hz, and the front-end requirements (noise, jitter, channel > isolation...) are accordingly strict. To compete with the better > commercial gear you need to employ cross-correlation and various > other error-cancellation techniques. It starts to look like real > work before long. That is a very interesting answer. No wonder Stein pushes ease of use so much for the 5120/5125. But they are $40k to $50k in Canada, so obviously it's time for a new approach. 1) Where would you find ADCs with enough speed and resolution to capture the noise signal from the phase detector? 2) What do current systems use for a reference oscillator to reach -170dBc? I'm not talking about the 5120/5125, or the Rohde > It would be relatively trivial to build a mediocre digital PN test > set, but such an instrument probably wouldn't be useful for > characterizing high-quality crystal oscillators by itself. It > would be more challenging to build one that could routinely > compete with the 3048A's analog front end in the general case. I tried to identify the U1 and U2 ics on the A12 LNA board in the 11848A. The best I could come up with was the part number - 1826-2081. But there was no cross-reference in any of the HP lists on the the HP Museum. Anyway, technology has far surpassed what was available back in the 80's when the 3048 was designed. Wenzel and Rubiola both published front ends for PN that probably match anything currently in use: http://www.wenzel.com/pdffiles1/pdfs/lowamp.pdf <http://www.femto-st.fr/~rubiola/pdf-articles/archives/2005-arxiv-0503012v1-ampli.pdf> In "The Measurement of AM noise of Oscillators", Rubiola states "The measurement systems described exhibit the world-record lowest background noise." Since AM noise is generally less than PM noise, the amplifiers he describes should be pretty close to state of the art. Table 6 on page 18 shows the noise parameters of some selected amplifiers: http://arxiv.org/PS_cache/physics/pdf/0512/0512082v1.pdf So the amplifier front end doesn't appear to be the gating item. I think the biggest problem is to find low noise oscillators that can be used as a reference. One approach might be to use 8 Wenzel 100MHz ULN's in a cross-correlation analyzer. That gets expensive. >> The reason this interest me is I'd like to get the low phase >> noise of a Wenzel 100MHz ULN, but I understand the price is >> $1,500 which is a bit too high. > Wait by the river, and one will eventually come floating by. Or... As above, I'm looking for more than one:) >> Some guys at NIST got very good noise performance with a DRO at >> 10GHz. This is interesting, since MiniCircuits sells inexpensive >> low-noise microwave amplifier ic's and mixers. So it might be >> possible to get a low noise cavity DRO at 8GHz and use >> regenerative dividers to get down to 1GHz (8 / 2^3), then use >> injection locking to get down to 10MHz. This could be an >> inexpensive solution to a difficult problem. And you have shown >> you can put 10GHz on FR4, so a Rogers pcb may not be needed: >> http://www.thegleam.com/ke5fx/hpll.htm > Possibly true, but don't kid yourself: such a divider chain would > cost you way more than $1500 worth of your time. And don't forget > that you'll have to build two to test it! I still don't see why it should take so much time to tweak. There is not that much to adjust, and a good network analyzer should be able to show the response of each section. So once you have one working, it whould be easy to duplicate. And if they were that touchy, it would be difficult to sell them commercially. The slightest bump would knockthem out of spec. But as described below, I have scrapped the whole idea. It turns out the performance may not be much better than a Wenzel. > One of the biggest problems would be the effect of the DRO control > loop. I haven't seen the NIST papers you're mentioning but the > best X-band DRO I've played with has a loop bandwidth of 300-400 > kHz. Within that bandwidth, it will just scale up the noise of > whatever you're using as a reference, so any attempt to get low > VHF phase noise with a DRO and divider chain will just end up > giving you back the noise of your reference, plus any residual > effects. The idea was to use the 10GHz oscillator as a low phase noise source, then divide down to use at lower frequencies. So it is the reference. One application would be to lock it to the oscillator under test to make PN measurements, so the loop would be pretty slow. But it turns out the whole concept probably won't give better phase noise, so I scrap the idea. Here's a bunch of links - you don't have to download them since the last one demolishes the concept. But here they are as a reference. "Ultra-Low-Noise Cavity-Stabilized Microwave Reference Oscillator Using An Air-Dielectric Resonator" http://tycho.usno.navy.mil/ptti/ptti2004/paper16.pdf Siemens App Note 002 shows the pcb layout for a 10GHz DRO: <http://www.taconic-add.com/pdf/technicalarticles--resonator-oscillator.pdf> The next paper shows the phase noise of a 10.24 GHz x-band sapphire oscillator divided down to 640 MHz using regenerative dividers. The plot in Figure 10 on page 5 shows the result is barely 15 dB better than a Wenzel at 1 KHz, and it looks like the Wenzel pretty much matches the performance past 10 KHz. On the other end, it looks like a Wenzel 10 MHz crystal would match the sapphire performance below 100Hz. "Low Phase Noise Division From X-Band To 640mhz" http://www.psi.com.au/Pages/LibraryPublished/fcs_2002_lnrd_paper.pdf Since a cavity stabilized DRO oscillator at 10 GHz wouldn't come close to the performance of a sapphire, it means the best practical source is a Wenzel. So I scrap the idea and start looking at better crystal oscillators as you discuss next. > A better approach IMHO is to work on pushing the limits of what > can be done with homebrew crystal oscillators. The excellent > broadband floor of Wenzel and similar oscillators is not due to > their use of exotic crystals, but to their use of good oscillator > circuit topologies (and no buffering to speak of). This is very interesting news. I thought it took excellent high quality quartz and very good low noise circuitry. Can you tell more about how it is done? Do you happen to know of any schematics? What kind of crystal would be suitable? I would be very interested in any additional info. > The crystal's job is stability, not noise, and unlike low noise, > good stability is relatively cheap and trivial nowadays thanks to > cheap GPS clocks, rubidiums, and good-quality OCXOs. Yes, I very much agree. GPS solves a lot of problems. >> So the question is what kind of tweaking is needed to get the >> best performance in a regenerative divider, and what kind of >> equipment is needed to do it? Then, is perfection really needed >> in order to beat the Wenzel ULN? Maybe put up with lower >> performance in the beginning, then upgrade later. > In practice many applications for ULN-class oscillators put the > broadband floor at risk in other ways. Very few buffer amplifiers > have a noise floor below -170 dBc/Hz, for instance. Fortunately, > apart from timing metrology, ULNs often end up driving high-end > ADCs, where the application is likely to be a good test bed in > itself. I thought the noise in a 50 ohm resistor set the lower limit to -174dBc. Modern amplifiers are better than that. For example, a 50 ohm resistor has 0.894nV/sqrt(Hz) noise, but you can get wideband amplifiers with 0.7nV/sqrt(Hz) noise, which is equal to the noise in a 30.6 ohm resistor. (Of course, flicker noise is not included) High speed adcs have very low jitter requirements to maintain ENOB, so anything that can improve the noise is helpful. >> One trick I have found that really helps isolate circuit blocks >> is to put them on their own small island pcb, which is then >> soldered to the main ground plane to hold it in place. Then find >> the location of ground connections that give the lowest >> crosstalk. A brief description is here. > Yep, totally, and the islands become reusable components in their > own right. > That's a valid thing to do, although I find that when I'm that > concerned with isolation, I probably want a full shield anyway > (hence the use of lots of discrete Hammond boxes). Sometimes even > this approach is self-defeating, as when I find that my > tightly-sealed Hammond enclosures make good cavity oscillators. I'm probably preaching to the choir, but do you find the waveguide cutoff frequency for the box? It's pretty easy - you can do it in your head. For example, the cutoff frequency is fc = c / 2w, where fc = cutoff in GHz c = speed of light, 30 cm/ns w = width in cm So a box 4 inches wide would be fc = 30 / (2 * 10) = 30 / 20 = 1.5 GHz Here's a calculator that gives the attenuation at any desired frequency below cutoff: http://www.k5rmg.org/calc/waveguide.html Another problem is the pcb will resonate at some frequency, just like a patch antenna. For example, a 100mm x 50 mm (4 inch x 2 inch) pcb will resonate at 700MHz. But drop the size to a 1 inch square, and the resonance moves up to 2.768 GHz. This is a bit more difficult to do in your head, so here's a calculator to help: http://www.emtalk.com/mpacalc.php So the trick is to use smaller parts and put them in smaller boxes. Then fill them with Eccosorb:) http://rfdesign.com/mag/0405rfdf1.pdf > john, KE5FX Mike