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-   -   Frequency multiplication (https://www.radiobanter.com/homebrew/22355-frequency-multiplication.html)

John Fields February 16th 04 09:11 PM

On Mon, 16 Feb 2004 21:02:02 GMT, James Meyer
wrote:

On Mon, 16 Feb 2004 13:03:46 -0600, John Fields
posted this:


Starting with a perfect square wave at f1, bang the hell out of a diode
with it, and then bandpass it and the 3rd harmonic (f2) separately, then
mix them to get f1, f2, f1+f2, and f1-f2. Using a doubly balanced mixer
will get rid of f1 and f2, then notching out f1+f2 will leave f1-f2,
which will be 2f1, that non-existent second harmonic.


What purpose does the diode serve? You're already starting with a
"perfect" square wave.


---
Duhhh.... None, of course.

Thanks.
--
John Fields

Stephen Quigg February 16th 04 10:05 PM

In article , Paul Burridge wrote:
What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)


Not radio, but interesting nevertheless. The older Hewlett-Packard cesium
clocks, ie 5060/61/62 vintage multiplied a crystal oscillator up to 90 MHz in
several stages. This fed into a step-recovery diode that sits in a cavity, and
has 12.631... MHz applied to the SRD bias. The cavity selects the ***102nd***
harmonic ie 9180 MHz, and there are also sidebands at +/- 12.631.. MHz This is
then fed into a hi-Q cavity tuned to the upper sideband ie 9192.631... MHz
which is the desired cesium transition frequency.

Adjusting the whole thing was a bit fiddly, and there were also some
factory-set adjustments that you NEVER TOUCHED unless you had plenty of time
and a squillion dollars worth of test gear. This was all a 1960's design and
was a bit of a stretch. The newer (5071) clocks do things QUITE differently.

Steve Quigg

Stephen Quigg February 16th 04 10:05 PM

In article , Paul Burridge wrote:
What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)


Not radio, but interesting nevertheless. The older Hewlett-Packard cesium
clocks, ie 5060/61/62 vintage multiplied a crystal oscillator up to 90 MHz in
several stages. This fed into a step-recovery diode that sits in a cavity, and
has 12.631... MHz applied to the SRD bias. The cavity selects the ***102nd***
harmonic ie 9180 MHz, and there are also sidebands at +/- 12.631.. MHz This is
then fed into a hi-Q cavity tuned to the upper sideband ie 9192.631... MHz
which is the desired cesium transition frequency.

Adjusting the whole thing was a bit fiddly, and there were also some
factory-set adjustments that you NEVER TOUCHED unless you had plenty of time
and a squillion dollars worth of test gear. This was all a 1960's design and
was a bit of a stretch. The newer (5071) clocks do things QUITE differently.

Steve Quigg

GPG February 17th 04 11:02 AM

Wadley loop recievers had to generate 33rd+ harmonic
Not quite OT but a great (old) idea
http://www.siliconchip.com.au/cms/A_30512/article.html

GPG February 17th 04 11:02 AM

Wadley loop recievers had to generate 33rd+ harmonic
Not quite OT but a great (old) idea
http://www.siliconchip.com.au/cms/A_30512/article.html

BFoelsch February 17th 04 11:52 AM

I had a Yaesu FRG-7 receiver that used this lovely Wadley loop. If you
subscribe to the theory that every beep and bloop you hear as you tune
across the dial is a station, that is the receiver for you!

However, if you understand spurs and birdies, a different picture emerges.
Lots of noise, too!


"GPG" wrote in message
om...
Wadley loop recievers had to generate 33rd+ harmonic
Not quite OT but a great (old) idea
http://www.siliconchip.com.au/cms/A_30512/article.html




BFoelsch February 17th 04 11:52 AM

I had a Yaesu FRG-7 receiver that used this lovely Wadley loop. If you
subscribe to the theory that every beep and bloop you hear as you tune
across the dial is a station, that is the receiver for you!

However, if you understand spurs and birdies, a different picture emerges.
Lots of noise, too!


"GPG" wrote in message
om...
Wadley loop recievers had to generate 33rd+ harmonic
Not quite OT but a great (old) idea
http://www.siliconchip.com.au/cms/A_30512/article.html




Geoff February 17th 04 11:37 PM

Tell me how you will use that and I will tell you the answer.

"Paul Burridge" wrote in message
...
What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)
--

The BBC: Licensed at public expense to spread lies.




Geoff February 17th 04 11:37 PM

Tell me how you will use that and I will tell you the answer.

"Paul Burridge" wrote in message
...
What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)
--

The BBC: Licensed at public expense to spread lies.




Active8 February 18th 04 10:05 AM

On Mon, 16 Feb 2004 11:53:11 +0000,
said...
On Sun, 15 Feb 2004 16:46:32 -0700, Jim Thompson
wrote:

On Sun, 15 Feb 2004 23:48:47 +0000, Paul Burridge
wrote:

What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)


You ought to be able to answer that yourself... what's the spectral
roll-off of a square wave ??


I suppose it boils down to how much signal is left in the mush as the
harmonics get higher and higher. Knew I shoulda held on to that
spectrum analyser I used to have. :-(
I suppose that's the proper answer though: get the rise/fall times as
small and possible, measure the specral output and pick a suitable
harmonic with enough energy in it to set it 'comfortably' above the
noise floor?

Gee. I could have sworn Jim was hinting at the math approach.
Wouldn'tcha just love to predict that roll-off on paper and *then*
see it in real life? Starts with an "F", looks like a number,
sounds like a frog.

--
Best Regards,
Mike

Active8 February 18th 04 10:05 AM

On Mon, 16 Feb 2004 11:53:11 +0000,
said...
On Sun, 15 Feb 2004 16:46:32 -0700, Jim Thompson
wrote:

On Sun, 15 Feb 2004 23:48:47 +0000, Paul Burridge
wrote:

What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)


You ought to be able to answer that yourself... what's the spectral
roll-off of a square wave ??


I suppose it boils down to how much signal is left in the mush as the
harmonics get higher and higher. Knew I shoulda held on to that
spectrum analyser I used to have. :-(
I suppose that's the proper answer though: get the rise/fall times as
small and possible, measure the specral output and pick a suitable
harmonic with enough energy in it to set it 'comfortably' above the
noise floor?

Gee. I could have sworn Jim was hinting at the math approach.
Wouldn'tcha just love to predict that roll-off on paper and *then*
see it in real life? Starts with an "F", looks like a number,
sounds like a frog.

--
Best Regards,
Mike

Paul Burridge February 18th 04 11:51 AM

On Wed, 18 Feb 2004 10:05:58 GMT, Active8
,invalid wrote:


Gee. I could have sworn Jim was hinting at the math approach.
Wouldn'tcha just love to predict that roll-off on paper and *then*
see it in real life? Starts with an "F", looks like a number,
sounds like a frog.


Fourier? I wouldn't trust it. Sounds French. :-

--

The BBC: Licensed at public expense to spread lies.

Paul Burridge February 18th 04 11:51 AM

On Wed, 18 Feb 2004 10:05:58 GMT, Active8
,invalid wrote:


Gee. I could have sworn Jim was hinting at the math approach.
Wouldn'tcha just love to predict that roll-off on paper and *then*
see it in real life? Starts with an "F", looks like a number,
sounds like a frog.


Fourier? I wouldn't trust it. Sounds French. :-

--

The BBC: Licensed at public expense to spread lies.

Active8 February 18th 04 01:33 PM

On Wed, 18 Feb 2004 11:51:42 +0000,
said...
On Wed, 18 Feb 2004 10:05:58 GMT, Active8
,invalid wrote:


Gee. I could have sworn Jim was hinting at the math approach.
Wouldn'tcha just love to predict that roll-off on paper and *then*
see it in real life? Starts with an "F", looks like a number,
sounds like a frog.


Fourier? I wouldn't trust it. Sounds French. :-


Then do a wavelet.
--
Best Regards,
Mike

Active8 February 18th 04 01:33 PM

On Wed, 18 Feb 2004 11:51:42 +0000,
said...
On Wed, 18 Feb 2004 10:05:58 GMT, Active8
,invalid wrote:


Gee. I could have sworn Jim was hinting at the math approach.
Wouldn'tcha just love to predict that roll-off on paper and *then*
see it in real life? Starts with an "F", looks like a number,
sounds like a frog.


Fourier? I wouldn't trust it. Sounds French. :-


Then do a wavelet.
--
Best Regards,
Mike

Ken Smith February 18th 04 08:25 PM

In article ,
Paul Burridge wrote:
What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)


Depends on what you call "practical".

I know that one type of atomic clock uses a one stage frequency multiplier
to go from about 10MHz to about 9.1GHz.

A slow edged square wave follows the 1/N rule to about the point where the
rise or fall time is equal to half a cycle of the harmonic frequency.
From that point up, the spectrum falls off at a rate of at least 1/n^2.
Usually it is faster than that.

If we assume that the 5nS rise time is the input to a stage, we can use a
fast transistor to effectively speed the edge up.
--
--
forging knowledge


Ken Smith February 18th 04 08:25 PM

In article ,
Paul Burridge wrote:
What's the maximum multiplication factor it's practical and sensible
to attempt to achieve in one single stage of multiplication? (Say from
a 7Mhz square wave source with 5nS rise/fall times.)


Depends on what you call "practical".

I know that one type of atomic clock uses a one stage frequency multiplier
to go from about 10MHz to about 9.1GHz.

A slow edged square wave follows the 1/N rule to about the point where the
rise or fall time is equal to half a cycle of the harmonic frequency.
From that point up, the spectrum falls off at a rate of at least 1/n^2.
Usually it is faster than that.

If we assume that the 5nS rise time is the input to a stage, we can use a
fast transistor to effectively speed the edge up.
--
--
forging knowledge


Roy Lewallen February 20th 04 09:46 AM

Avery Fineman wrote:
. . .
Making practical, reproducible active multipliers in the home shop
is, practically, a trial-and-error process involving playing with cut-
off bias of the active device input, energy and harmonic content of
the source, and Q of the multiplier's output stage. In the past I've
made tripling-in-the-plate pentode crystal oscillators using
fundamental frequency quartz but those were highly dependent on
getting the highest impedance tuned plate circuit and needed
scope viewing to check output waveforms. Not very reproducible.
There's no "easy" way to do it that will "work every time" despite
the claims of many. :-)
. . .


While that's certainly true of multipliers in general, I've certainly
found it very easy to make repeatable doublers with a two transistor
push-push stage. Driving it with about zero bias and a large enough
signal to get it to conduct on at least a good fraction of each cycle
gives plenty of harmonic energy. A collector circuit with decent Q will
take care of most higher harmonics, although a simple filter following
the stage is usually adequate for more demanding applications. The
fundamental can be nulled out reasonably well with a pot between
emitters with a grounded center tap. I'd think a push-pull tripler would
be nearly as easy, but I haven't had occasion to make one.

Several simple diode and transistor multipliers are described in Chapter
5 of _Experimental Methods in RF Design_, which I heartily recommend for
the homebrewer and experimenter.

Roy Lewallen, W7EL


Roy Lewallen February 20th 04 09:46 AM

Avery Fineman wrote:
. . .
Making practical, reproducible active multipliers in the home shop
is, practically, a trial-and-error process involving playing with cut-
off bias of the active device input, energy and harmonic content of
the source, and Q of the multiplier's output stage. In the past I've
made tripling-in-the-plate pentode crystal oscillators using
fundamental frequency quartz but those were highly dependent on
getting the highest impedance tuned plate circuit and needed
scope viewing to check output waveforms. Not very reproducible.
There's no "easy" way to do it that will "work every time" despite
the claims of many. :-)
. . .


While that's certainly true of multipliers in general, I've certainly
found it very easy to make repeatable doublers with a two transistor
push-push stage. Driving it with about zero bias and a large enough
signal to get it to conduct on at least a good fraction of each cycle
gives plenty of harmonic energy. A collector circuit with decent Q will
take care of most higher harmonics, although a simple filter following
the stage is usually adequate for more demanding applications. The
fundamental can be nulled out reasonably well with a pot between
emitters with a grounded center tap. I'd think a push-pull tripler would
be nearly as easy, but I haven't had occasion to make one.

Several simple diode and transistor multipliers are described in Chapter
5 of _Experimental Methods in RF Design_, which I heartily recommend for
the homebrewer and experimenter.

Roy Lewallen, W7EL


Avery Fineman February 20th 04 09:37 PM

In article , Roy Lewallen
writes:

Avery Fineman wrote:
. . .
Making practical, reproducible active multipliers in the home shop
is, practically, a trial-and-error process involving playing with cut-
off bias of the active device input, energy and harmonic content of
the source, and Q of the multiplier's output stage. In the past I've
made tripling-in-the-plate pentode crystal oscillators using
fundamental frequency quartz but those were highly dependent on
getting the highest impedance tuned plate circuit and needed
scope viewing to check output waveforms. Not very reproducible.
There's no "easy" way to do it that will "work every time" despite
the claims of many. :-)
. . .


While that's certainly true of multipliers in general, I've certainly
found it very easy to make repeatable doublers with a two transistor
push-push stage. Driving it with about zero bias and a large enough
signal to get it to conduct on at least a good fraction of each cycle
gives plenty of harmonic energy. A collector circuit with decent Q will
take care of most higher harmonics, although a simple filter following
the stage is usually adequate for more demanding applications. The
fundamental can be nulled out reasonably well with a pot between
emitters with a grounded center tap. I'd think a push-pull tripler would
be nearly as easy, but I haven't had occasion to make one.


Okay. I can't agree that they are "easy" after having enough
occasions to make several. :-)

Your mileage, of course, varies.

Several simple diode and transistor multipliers are described in Chapter
5 of _Experimental Methods in RF Design_, which I heartily recommend for
the homebrewer and experimenter.


A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule (or
calculator) numbers. Typically the source is a distorted sinewave
from either another multiplier or an oscillator. Rocket science it ain't.

BREADBOARD. A most handy part of the bench tools. Recommended
first. Especially for those purist hobbyists who think that digital
circuits
aren't "real radio." :-)

Playing with bias on a transistor multiplier stage is fine for optimizing a
multiplication but all it is is play when there's nothing to compare one
bias setting with another as to power output at the desired multiple.
A spectrum analyzer isn't an absolute need, by the way, there's other
ways to measure the harmonic content. Is that in "Experimental
Methods..." published by the ARRL? [I'm pushing work-on-the-bench,
not books, pardon my attitude that has resulted from years of having
to produce hardware results, not paper reports]

Len Anderson
retired (from regular hours) electronic engineering person

Avery Fineman February 20th 04 09:37 PM

In article , Roy Lewallen
writes:

Avery Fineman wrote:
. . .
Making practical, reproducible active multipliers in the home shop
is, practically, a trial-and-error process involving playing with cut-
off bias of the active device input, energy and harmonic content of
the source, and Q of the multiplier's output stage. In the past I've
made tripling-in-the-plate pentode crystal oscillators using
fundamental frequency quartz but those were highly dependent on
getting the highest impedance tuned plate circuit and needed
scope viewing to check output waveforms. Not very reproducible.
There's no "easy" way to do it that will "work every time" despite
the claims of many. :-)
. . .


While that's certainly true of multipliers in general, I've certainly
found it very easy to make repeatable doublers with a two transistor
push-push stage. Driving it with about zero bias and a large enough
signal to get it to conduct on at least a good fraction of each cycle
gives plenty of harmonic energy. A collector circuit with decent Q will
take care of most higher harmonics, although a simple filter following
the stage is usually adequate for more demanding applications. The
fundamental can be nulled out reasonably well with a pot between
emitters with a grounded center tap. I'd think a push-pull tripler would
be nearly as easy, but I haven't had occasion to make one.


Okay. I can't agree that they are "easy" after having enough
occasions to make several. :-)

Your mileage, of course, varies.

Several simple diode and transistor multipliers are described in Chapter
5 of _Experimental Methods in RF Design_, which I heartily recommend for
the homebrewer and experimenter.


A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule (or
calculator) numbers. Typically the source is a distorted sinewave
from either another multiplier or an oscillator. Rocket science it ain't.

BREADBOARD. A most handy part of the bench tools. Recommended
first. Especially for those purist hobbyists who think that digital
circuits
aren't "real radio." :-)

Playing with bias on a transistor multiplier stage is fine for optimizing a
multiplication but all it is is play when there's nothing to compare one
bias setting with another as to power output at the desired multiple.
A spectrum analyzer isn't an absolute need, by the way, there's other
ways to measure the harmonic content. Is that in "Experimental
Methods..." published by the ARRL? [I'm pushing work-on-the-bench,
not books, pardon my attitude that has resulted from years of having
to produce hardware results, not paper reports]

Len Anderson
retired (from regular hours) electronic engineering person

Avery Fineman February 20th 04 09:53 PM

In article , Roy Lewallen
writes:

Avery Fineman wrote:
. . .
Making practical, reproducible active multipliers in the home shop
is, practically, a trial-and-error process involving playing with cut-
off bias of the active device input, energy and harmonic content of
the source, and Q of the multiplier's output stage. In the past I've
made tripling-in-the-plate pentode crystal oscillators using
fundamental frequency quartz but those were highly dependent on
getting the highest impedance tuned plate circuit and needed
scope viewing to check output waveforms. Not very reproducible.
There's no "easy" way to do it that will "work every time" despite
the claims of many. :-)
. . .


While that's certainly true of multipliers in general, I've certainly
found it very easy to make repeatable doublers with a two transistor
push-push stage. Driving it with about zero bias and a large enough
signal to get it to conduct on at least a good fraction of each cycle
gives plenty of harmonic energy. A collector circuit with decent Q will
take care of most higher harmonics, although a simple filter following
the stage is usually adequate for more demanding applications. The
fundamental can be nulled out reasonably well with a pot between
emitters with a grounded center tap. I'd think a push-pull tripler would
be nearly as easy, but I haven't had occasion to make one.


Okay. I can't agree that they are "easy" after having enough
occasions to make several. :-)

Your mileage, of course, varies.

Several simple diode and transistor multipliers are described in Chapter
5 of _Experimental Methods in RF Design_, which I heartily recommend for
the homebrewer and experimenter.


A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule (or
calculator) numbers. Typically the source is a distorted sinewave
from either another multiplier or an oscillator. Rocket science it ain't.

BREADBOARD. A most handy part of the bench tools. Recommended
first. Especially for those purist hobbyists who think that digital
circuits
aren't "real radio." :-)

Playing with bias on a transistor multiplier stage is fine for optimizing a
multiplication but all it is is play when there's nothing to compare one
bias setting with another as to power output at the desired multiple.
A spectrum analyzer isn't an absolute need, by the way, there's other
ways to measure the harmonic content. Is that in "Experimental
Methods..." published by the ARRL? [I'm pushing work-on-the-bench,
not books, pardon my attitude that has resulted from years of having
to produce hardware results, not paper reports]

Len Anderson
retired (from regular hours) electronic engineering person

Avery Fineman February 20th 04 09:53 PM

In article , Roy Lewallen
writes:

Avery Fineman wrote:
. . .
Making practical, reproducible active multipliers in the home shop
is, practically, a trial-and-error process involving playing with cut-
off bias of the active device input, energy and harmonic content of
the source, and Q of the multiplier's output stage. In the past I've
made tripling-in-the-plate pentode crystal oscillators using
fundamental frequency quartz but those were highly dependent on
getting the highest impedance tuned plate circuit and needed
scope viewing to check output waveforms. Not very reproducible.
There's no "easy" way to do it that will "work every time" despite
the claims of many. :-)
. . .


While that's certainly true of multipliers in general, I've certainly
found it very easy to make repeatable doublers with a two transistor
push-push stage. Driving it with about zero bias and a large enough
signal to get it to conduct on at least a good fraction of each cycle
gives plenty of harmonic energy. A collector circuit with decent Q will
take care of most higher harmonics, although a simple filter following
the stage is usually adequate for more demanding applications. The
fundamental can be nulled out reasonably well with a pot between
emitters with a grounded center tap. I'd think a push-pull tripler would
be nearly as easy, but I haven't had occasion to make one.


Okay. I can't agree that they are "easy" after having enough
occasions to make several. :-)

Your mileage, of course, varies.

Several simple diode and transistor multipliers are described in Chapter
5 of _Experimental Methods in RF Design_, which I heartily recommend for
the homebrewer and experimenter.


A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule (or
calculator) numbers. Typically the source is a distorted sinewave
from either another multiplier or an oscillator. Rocket science it ain't.

BREADBOARD. A most handy part of the bench tools. Recommended
first. Especially for those purist hobbyists who think that digital
circuits
aren't "real radio." :-)

Playing with bias on a transistor multiplier stage is fine for optimizing a
multiplication but all it is is play when there's nothing to compare one
bias setting with another as to power output at the desired multiple.
A spectrum analyzer isn't an absolute need, by the way, there's other
ways to measure the harmonic content. Is that in "Experimental
Methods..." published by the ARRL? [I'm pushing work-on-the-bench,
not books, pardon my attitude that has resulted from years of having
to produce hardware results, not paper reports]

Len Anderson
retired (from regular hours) electronic engineering person

Roy Lewallen February 20th 04 11:22 PM

Avery Fineman wrote:
. . .
Playing with bias on a transistor multiplier stage is fine for optimizing a
multiplication but all it is is play when there's nothing to compare one
bias setting with another as to power output at the desired multiple.
A spectrum analyzer isn't an absolute need, by the way, there's other
ways to measure the harmonic content. Is that in "Experimental
Methods..." published by the ARRL? [I'm pushing work-on-the-bench,
not books, pardon my attitude that has resulted from years of having
to produce hardware results, not paper reports]

Len Anderson
retired (from regular hours) electronic engineering person


Yes, that book is published by the ARRL. Its authors, Wes Hayward,
W7ZOI; Rick Campbell, KK7B; and Bob Larkin, W7PUA have, unlike so many
authors, spent careers doing just what you and I have had to do --
produce hardware results. Of them, I know Wes the best, having been
friends with him for about 30 years. After a stint at Boeing long ago,
Wes was a design engineer in the spectrum analyzer group at Tektronix
for a number of years, where his designs were incorporated in a number
of state-of-the-art spectrum analyzers. He went from there to TriQuint
semiconductor, where he designed many RF components which are in daily
use in probably millions of cell phones and other wireless products. He
recently retired and has been doing some consulting. His publications in
amateur journals, spanning decades, are legendary and many are seminal.
I don't know Rick quite as well, but he's also a very capable and
accomplished engineer (in spite, one might say, of his Ph.D. and period
in academia). For years now, he's also worked as a design engineer at
TriQuint. To get a feel for his approach to solving real problems, check
out the articles he's published over the years in QST on phasing type
direct conversion receivers. Bob I don't know at all, but Wes speaks
very highly of him, and I have absolute confidence in Wes' judgement of
skill.

There's nothing in that book that hasn't been built and tested, and
designed to be repeatable. And everything has been designed by people
who really know what they're doing. This isn't a book of
kluged-it-up-on-the-bench-and-made-one-work-once projects as so many
are. I'm sure that if you'd take a few minutes to look over the book,
you'd immediately recognize that.

To answer your specific question, I don't, in a brief scan, see details
in the book about optimizing the bias for maximum harmonic content of
the multipliers. Most are diode multipliers anyway, with no bias
adjustment. The book covers a very wide range of topics, and the section
on multipliers consists of only a couple of pages of text. There is,
however, a chapter on simple test equipment a homebrewer can build,
including a brief description of a practical spectrum analyzer. Wes did,
incidentally, design and publish such a thing some years ago. I think
it's still available in kit form from Kanga US.

I've also spent a career having to produce real results. But apparently
our approaches differed, because I've found that good paper designs,
often aided by fundamental knowledge gleaned from books, lead to good
hardware results, rather than being an opposing and somehow inferior
method. And they have the advantage of being well understood,
predictable, and repeatable.

Roy Lewallen, W7EL


Roy Lewallen February 20th 04 11:22 PM

Avery Fineman wrote:
. . .
Playing with bias on a transistor multiplier stage is fine for optimizing a
multiplication but all it is is play when there's nothing to compare one
bias setting with another as to power output at the desired multiple.
A spectrum analyzer isn't an absolute need, by the way, there's other
ways to measure the harmonic content. Is that in "Experimental
Methods..." published by the ARRL? [I'm pushing work-on-the-bench,
not books, pardon my attitude that has resulted from years of having
to produce hardware results, not paper reports]

Len Anderson
retired (from regular hours) electronic engineering person


Yes, that book is published by the ARRL. Its authors, Wes Hayward,
W7ZOI; Rick Campbell, KK7B; and Bob Larkin, W7PUA have, unlike so many
authors, spent careers doing just what you and I have had to do --
produce hardware results. Of them, I know Wes the best, having been
friends with him for about 30 years. After a stint at Boeing long ago,
Wes was a design engineer in the spectrum analyzer group at Tektronix
for a number of years, where his designs were incorporated in a number
of state-of-the-art spectrum analyzers. He went from there to TriQuint
semiconductor, where he designed many RF components which are in daily
use in probably millions of cell phones and other wireless products. He
recently retired and has been doing some consulting. His publications in
amateur journals, spanning decades, are legendary and many are seminal.
I don't know Rick quite as well, but he's also a very capable and
accomplished engineer (in spite, one might say, of his Ph.D. and period
in academia). For years now, he's also worked as a design engineer at
TriQuint. To get a feel for his approach to solving real problems, check
out the articles he's published over the years in QST on phasing type
direct conversion receivers. Bob I don't know at all, but Wes speaks
very highly of him, and I have absolute confidence in Wes' judgement of
skill.

There's nothing in that book that hasn't been built and tested, and
designed to be repeatable. And everything has been designed by people
who really know what they're doing. This isn't a book of
kluged-it-up-on-the-bench-and-made-one-work-once projects as so many
are. I'm sure that if you'd take a few minutes to look over the book,
you'd immediately recognize that.

To answer your specific question, I don't, in a brief scan, see details
in the book about optimizing the bias for maximum harmonic content of
the multipliers. Most are diode multipliers anyway, with no bias
adjustment. The book covers a very wide range of topics, and the section
on multipliers consists of only a couple of pages of text. There is,
however, a chapter on simple test equipment a homebrewer can build,
including a brief description of a practical spectrum analyzer. Wes did,
incidentally, design and publish such a thing some years ago. I think
it's still available in kit form from Kanga US.

I've also spent a career having to produce real results. But apparently
our approaches differed, because I've found that good paper designs,
often aided by fundamental knowledge gleaned from books, lead to good
hardware results, rather than being an opposing and somehow inferior
method. And they have the advantage of being well understood,
predictable, and repeatable.

Roy Lewallen, W7EL


Tom Bruhns February 21st 04 09:25 AM

Roy Lewallen wrote in message ...
... I've found that good paper designs,
often aided by fundamental knowledge gleaned from books, lead to good
hardware results, rather than being an opposing and somehow inferior
method. And they have the advantage of being well understood,
predictable, and repeatable.


Indeed. Occasionaly new not-yet-understood phenomena are discovered
on the bench, but the art benefits greatly from a detailed
understanding of the underlying mechanisms. Coincidently, I was
browsing "Inventions of Opportunity" this afternoon and stumbled
across an article about how in the late 1950's a newly-developed high
speed sampling scope aided in understanding harmonic-generation
mechanisms in diodes, which apparently helped a lot in the development
of step recovery diodes. Before that, apparently there wasn't good
understanding about why some diodes generated lots of harmonics and
others didn't. Step recovery diodes are optimized for fast turn-off
of the reverse recovery, and are used in generating a "comb" of
harmonics. It's not uncommon to pick off the desired harmonic with an
appropriate filter, up to beyond the tenth harmonic. Seems like step
recovery diodes are not in as great favor as they once were, since
there are generally better ways to generate higher order harmonics.

With a little understanding of the spectrum of a non-symmetrical
square (or trapezoid) wave, it's not hard to come very close to an
optimum bias and drive for a given harmonic output in an amplifier
stage. If you do it just by experimentation, you're liable to find a
local optimum that's quite a bit worse than the global optimum. Same
with the output coupling/filtering network.

Cheers,
Tom

Tom Bruhns February 21st 04 09:25 AM

Roy Lewallen wrote in message ...
... I've found that good paper designs,
often aided by fundamental knowledge gleaned from books, lead to good
hardware results, rather than being an opposing and somehow inferior
method. And they have the advantage of being well understood,
predictable, and repeatable.


Indeed. Occasionaly new not-yet-understood phenomena are discovered
on the bench, but the art benefits greatly from a detailed
understanding of the underlying mechanisms. Coincidently, I was
browsing "Inventions of Opportunity" this afternoon and stumbled
across an article about how in the late 1950's a newly-developed high
speed sampling scope aided in understanding harmonic-generation
mechanisms in diodes, which apparently helped a lot in the development
of step recovery diodes. Before that, apparently there wasn't good
understanding about why some diodes generated lots of harmonics and
others didn't. Step recovery diodes are optimized for fast turn-off
of the reverse recovery, and are used in generating a "comb" of
harmonics. It's not uncommon to pick off the desired harmonic with an
appropriate filter, up to beyond the tenth harmonic. Seems like step
recovery diodes are not in as great favor as they once were, since
there are generally better ways to generate higher order harmonics.

With a little understanding of the spectrum of a non-symmetrical
square (or trapezoid) wave, it's not hard to come very close to an
optimum bias and drive for a given harmonic output in an amplifier
stage. If you do it just by experimentation, you're liable to find a
local optimum that's quite a bit worse than the global optimum. Same
with the output coupling/filtering network.

Cheers,
Tom

Roy Lewallen February 21st 04 11:20 AM

Tom Bruhns wrote:
. . .
. . . Seems like step
recovery diodes are not in as great favor as they once were, since
there are generally better ways to generate higher order harmonics.
. . .


Getting a bit off-topic here, but as of a few years ago, we were using
step recovery diodes to generate the step in high speed TDR systems, and
to generate the strobe for the sampling gate in high speed sampling
scopes. Rise times were on the order of 7 - 15 ps (bandwidth up to 50
GHz or so), limited primarily by circuitry external to the diodes. SRDs
replaced tunnel diodes in earlier generations of instruments. I've been
out of touch with that class of instruments for a few years now -- do
you know if something has replaced the SRD for generating fast steps, or
just for harmonic generation?

Roy Lewallen, W7EL


Roy Lewallen February 21st 04 11:20 AM

Tom Bruhns wrote:
. . .
. . . Seems like step
recovery diodes are not in as great favor as they once were, since
there are generally better ways to generate higher order harmonics.
. . .


Getting a bit off-topic here, but as of a few years ago, we were using
step recovery diodes to generate the step in high speed TDR systems, and
to generate the strobe for the sampling gate in high speed sampling
scopes. Rise times were on the order of 7 - 15 ps (bandwidth up to 50
GHz or so), limited primarily by circuitry external to the diodes. SRDs
replaced tunnel diodes in earlier generations of instruments. I've been
out of touch with that class of instruments for a few years now -- do
you know if something has replaced the SRD for generating fast steps, or
just for harmonic generation?

Roy Lewallen, W7EL


Paul Burridge February 21st 04 12:28 PM

On Sat, 21 Feb 2004 03:20:07 -0800, Roy Lewallen
wrote:

Tom Bruhns wrote:
. . .
. . . Seems like step
recovery diodes are not in as great favor as they once were, since
there are generally better ways to generate higher order harmonics.
. . .


Getting a bit off-topic here, but as of a few years ago, we were using
step recovery diodes to generate the step in high speed TDR systems, and
to generate the strobe for the sampling gate in high speed sampling
scopes. Rise times were on the order of 7 - 15 ps (bandwidth up to 50
GHz or so), limited primarily by circuitry external to the diodes. SRDs
replaced tunnel diodes in earlier generations of instruments. I've been
out of touch with that class of instruments for a few years now -- do
you know if something has replaced the SRD for generating fast steps, or
just for harmonic generation?


What's a doubler based on the good old 1N4148 good for, top end
frequency-wise?
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge February 21st 04 12:28 PM

On Sat, 21 Feb 2004 03:20:07 -0800, Roy Lewallen
wrote:

Tom Bruhns wrote:
. . .
. . . Seems like step
recovery diodes are not in as great favor as they once were, since
there are generally better ways to generate higher order harmonics.
. . .


Getting a bit off-topic here, but as of a few years ago, we were using
step recovery diodes to generate the step in high speed TDR systems, and
to generate the strobe for the sampling gate in high speed sampling
scopes. Rise times were on the order of 7 - 15 ps (bandwidth up to 50
GHz or so), limited primarily by circuitry external to the diodes. SRDs
replaced tunnel diodes in earlier generations of instruments. I've been
out of touch with that class of instruments for a few years now -- do
you know if something has replaced the SRD for generating fast steps, or
just for harmonic generation?


What's a doubler based on the good old 1N4148 good for, top end
frequency-wise?
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge February 21st 04 12:28 PM

On 20 Feb 2004 21:53:26 GMT, (Avery Fineman)
wrote:

A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule (or
calculator) numbers. Typically the source is a distorted sinewave


Is the type of distortion critical? How about a clipped/clamped
sinewave?
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge February 21st 04 12:28 PM

On 20 Feb 2004 21:53:26 GMT, (Avery Fineman)
wrote:

A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule (or
calculator) numbers. Typically the source is a distorted sinewave


Is the type of distortion critical? How about a clipped/clamped
sinewave?
--

The BBC: Licensed at public expense to spread lies.

Avery Fineman February 21st 04 07:47 PM

In article , Paul Burridge
writes:

On 20 Feb 2004 21:53:26 GMT, (Avery Fineman)
wrote:

A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule

(or
calculator) numbers. Typically the source is a distorted sinewave


Is the type of distortion critical? How about a clipped/clamped
sinewave?


Yes and no. :-) A quantitative answer isn't possible since the
waveform must be described accurately in shape (or spectrum
analyzed) in order to determine the harmonic content. Suffice to say
that a square wave cannot be used with a passive diode doubler; all
the energy is contained in the short transition times and that is rarely
enough to be worth it.

If an untuned oscillator output is to be doubled, that scoped waveform
will quite probably look distorted. Such is quite likely to be a good
harmonic content source for a passive diode doubler. The obvious
alternate is to tune the oscillator output to the second (or third)
harmonic right off... :-) I mentioned diode doublers because (1) they
are passive; (2) they are relatively broadband; (3) common legacy
fast diodes such as 1N914 and 1N4148 can work in that application
beyond 20 MHz; (4) they work with cylindrical-shape coils also but
toroidals forms make the whole circuit physically smaller.

If the source's impedance is too high to handle a passive diode
multiplier, then an active-device multiplier is a better choice. [at this
point it is a promotional insert time to publicize ARRL publications
of "tried and proven circuits" provided one copies ALL the parts of the
circuit exactly as shown to be tried and proven...:-) ]

The original thread question was general enough that the number of
variables would fill a shopping cart. Quantitative answers to such
questions aren't possible. At best, only suggestions of a general
nature can be the answers.

Digital logic off-the-shelf is excellent for making things right off the
paper design because they work with two stable states with very high
transition times; stay within the rise, fall, and propagation times and
fan-out rules and it should work right off the scratchpad. Analog
circuits are a whole new game with different rules and a large number
of unknowns even if some detailed specs are available.

For one-of-a-kind homebrew applications of analog multipliers, I'd say
it was time for experimental bench cut-and-try work first. A paper
analysis is going to take TIME even if the smarts are there. Empirical
data derivation (cut-and-try) is quick, much quicker than the paper
chase. I say empirical since the supply voltages may be different than
some book example, few have instruments for measuring source and
load impedances or spectral content and power level of the source.

The simpler the prototype-idea circuit, the easier it is to make a stock
kind of circuit on the bench and probably characterize it over a wide
frequency range and, possibly, with varying supply rail voltages and
power levels. Heh...a LOT of production circuits were engineered that
way even though the companies who made it came along after and
made them look like seven wonders of the world in PR literature later.
They were after _reproducible_ circuits in _their_ systems, not as
shining textbook examples. Some passive component values may
have been selected to reduce the overall type-of-parts count by using
"common" values needed in other circuits. That's perfectly acceptible
as long as a circuit works and can be reproduced...at a profit. :-)

Can I answer your original question? Not really. Think of a passive
diode doubler as a full-wave rectifier. Those take a fundamental sine
and "double it over" (negative swing made positive through trans-
former) to make two half-sine pulses of the same polarity for each
full AC cycle. There's a lot of "second harmonic" in that rectifier
output...which makes for easier filtering since the ripple voltage
frequency is twice what it would be for a half-wave rectifier. Using fast
legacy diodes at a much higher frequency turns out to be the same
sort of thing. Unlike a rectifier circuit, the output of the doubler can
be tuned to that second harmonic (a no-no for most power supply
rectifiers) to get the most output. You could use a clipped sinewave
input, but why and where is the clipping done and what extra circuits
or components are needed to justify that?

I've only outlined SOME of the mental questions each brewer has to
make for themselves. Concentration is needed for application.

Len Anderson
retired (from regular hours) electronic engineer person

Avery Fineman February 21st 04 07:47 PM

In article , Paul Burridge
writes:

On 20 Feb 2004 21:53:26 GMT, (Avery Fineman)
wrote:

A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule

(or
calculator) numbers. Typically the source is a distorted sinewave


Is the type of distortion critical? How about a clipped/clamped
sinewave?


Yes and no. :-) A quantitative answer isn't possible since the
waveform must be described accurately in shape (or spectrum
analyzed) in order to determine the harmonic content. Suffice to say
that a square wave cannot be used with a passive diode doubler; all
the energy is contained in the short transition times and that is rarely
enough to be worth it.

If an untuned oscillator output is to be doubled, that scoped waveform
will quite probably look distorted. Such is quite likely to be a good
harmonic content source for a passive diode doubler. The obvious
alternate is to tune the oscillator output to the second (or third)
harmonic right off... :-) I mentioned diode doublers because (1) they
are passive; (2) they are relatively broadband; (3) common legacy
fast diodes such as 1N914 and 1N4148 can work in that application
beyond 20 MHz; (4) they work with cylindrical-shape coils also but
toroidals forms make the whole circuit physically smaller.

If the source's impedance is too high to handle a passive diode
multiplier, then an active-device multiplier is a better choice. [at this
point it is a promotional insert time to publicize ARRL publications
of "tried and proven circuits" provided one copies ALL the parts of the
circuit exactly as shown to be tried and proven...:-) ]

The original thread question was general enough that the number of
variables would fill a shopping cart. Quantitative answers to such
questions aren't possible. At best, only suggestions of a general
nature can be the answers.

Digital logic off-the-shelf is excellent for making things right off the
paper design because they work with two stable states with very high
transition times; stay within the rise, fall, and propagation times and
fan-out rules and it should work right off the scratchpad. Analog
circuits are a whole new game with different rules and a large number
of unknowns even if some detailed specs are available.

For one-of-a-kind homebrew applications of analog multipliers, I'd say
it was time for experimental bench cut-and-try work first. A paper
analysis is going to take TIME even if the smarts are there. Empirical
data derivation (cut-and-try) is quick, much quicker than the paper
chase. I say empirical since the supply voltages may be different than
some book example, few have instruments for measuring source and
load impedances or spectral content and power level of the source.

The simpler the prototype-idea circuit, the easier it is to make a stock
kind of circuit on the bench and probably characterize it over a wide
frequency range and, possibly, with varying supply rail voltages and
power levels. Heh...a LOT of production circuits were engineered that
way even though the companies who made it came along after and
made them look like seven wonders of the world in PR literature later.
They were after _reproducible_ circuits in _their_ systems, not as
shining textbook examples. Some passive component values may
have been selected to reduce the overall type-of-parts count by using
"common" values needed in other circuits. That's perfectly acceptible
as long as a circuit works and can be reproduced...at a profit. :-)

Can I answer your original question? Not really. Think of a passive
diode doubler as a full-wave rectifier. Those take a fundamental sine
and "double it over" (negative swing made positive through trans-
former) to make two half-sine pulses of the same polarity for each
full AC cycle. There's a lot of "second harmonic" in that rectifier
output...which makes for easier filtering since the ripple voltage
frequency is twice what it would be for a half-wave rectifier. Using fast
legacy diodes at a much higher frequency turns out to be the same
sort of thing. Unlike a rectifier circuit, the output of the doubler can
be tuned to that second harmonic (a no-no for most power supply
rectifiers) to get the most output. You could use a clipped sinewave
input, but why and where is the clipping done and what extra circuits
or components are needed to justify that?

I've only outlined SOME of the mental questions each brewer has to
make for themselves. Concentration is needed for application.

Len Anderson
retired (from regular hours) electronic engineer person

Paul Burridge February 22nd 04 12:34 AM

On 21 Feb 2004 19:47:23 GMT, (Avery Fineman)
wrote:

In article , Paul Burridge
writes:

On 20 Feb 2004 21:53:26 GMT,
(Avery Fineman)
wrote:

A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule

(or
calculator) numbers. Typically the source is a distorted sinewave


Is the type of distortion critical? How about a clipped/clamped
sinewave?


Yes and no. :-) A quantitative answer isn't possible since the
waveform must be described accurately in shape (or spectrum
analyzed) in order to determine the harmonic content. Suffice to say
that a square wave cannot be used with a passive diode doubler; all
the energy is contained in the short transition times and that is rarely
enough to be worth it.


[snip...]

Thanks, Len. A lot of good stuff to be considered here so I'll save it
for now and go through it later.....

p.
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge February 22nd 04 12:34 AM

On 21 Feb 2004 19:47:23 GMT, (Avery Fineman)
wrote:

In article , Paul Burridge
writes:

On 20 Feb 2004 21:53:26 GMT,
(Avery Fineman)
wrote:

A diode doubler using a toroid transformer, pair of diodes and a tuned
circuit in the output works fine right off the paper pad and slide-rule

(or
calculator) numbers. Typically the source is a distorted sinewave


Is the type of distortion critical? How about a clipped/clamped
sinewave?


Yes and no. :-) A quantitative answer isn't possible since the
waveform must be described accurately in shape (or spectrum
analyzed) in order to determine the harmonic content. Suffice to say
that a square wave cannot be used with a passive diode doubler; all
the energy is contained in the short transition times and that is rarely
enough to be worth it.


[snip...]

Thanks, Len. A lot of good stuff to be considered here so I'll save it
for now and go through it later.....

p.
--

The BBC: Licensed at public expense to spread lies.

Tom Bruhns February 22nd 04 03:39 AM

(Avery Fineman) wrote in message ...
... Suffice to say
that a square wave cannot be used with a passive diode doubler; all
the energy is contained in the short transition times and that is rarely
enough to be worth it.


?? Lots of energy in the fundamental; filter to extract the
fundamental and feed it to your full-wave rectifier doubler.
Efficiency can be high if the filter does not cause dissipation in the
source at the harmonics.

Tom Bruhns February 22nd 04 03:39 AM

(Avery Fineman) wrote in message ...
... Suffice to say
that a square wave cannot be used with a passive diode doubler; all
the energy is contained in the short transition times and that is rarely
enough to be worth it.


?? Lots of energy in the fundamental; filter to extract the
fundamental and feed it to your full-wave rectifier doubler.
Efficiency can be high if the filter does not cause dissipation in the
source at the harmonics.

Jim Pennell February 22nd 04 05:14 AM

"Tom Bruhns" Wrote:


(Avery Fineman) wrote in message

...

... Suffice to say
that a square wave cannot be used with a passive
diode doubler; all the energy is contained in
the short transition times and that is rarely
enough to be worth it.


?? Lots of energy in the fundamental; filter to
extract the fundamental and feed it to your
full-wave rectifier doubler.
Efficiency can be high if the filter does
not cause dissipation in the
source at the harmonics.


Tom, look at it this way... Draw the square wave, assuming capacitive
coupling so it has a zero crossing. Then draw the same signal but invert
the negative going half to positive, which is what the full wave diode
doubler would do.

You wind up with a positive voltage, but with VERY narrow negative spikes.

So, a square wave into a diode doubler will produce only a small amount of
the second harmonic. You'd be better off running the input square wave
through a lowpass of some sort and then doubling it.

Given a sine wave input, there is a fair amount of negative going signal
and that is what produces the high energy content of the second harmonic.


Jim Pennell
N6BIU




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