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-   -   Extracting the 5th Harmonic (https://www.radiobanter.com/homebrew/22570-extracting-5th-harmonic.html)

Tony March 17th 04 01:06 AM

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:
If I'm not mistaken, "tuned amplification" IS "filtering".


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


Wow - the strange things you learn on this thread! So how many poles does a
circuit need for it to be called a "filter"?

Tony (remove the "_" to reply by email)

John Fields March 17th 04 01:54 AM

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


---
Any network which exhibits frequency selectivity is a filter, whether or
not you're concerned about whether or not it is or is not.

Think about it... from the lowly filter capacitor to the exalted
brickwall filter, they're all discrimating against a frequency or a set
of frequencies which we have told them we don't want them to let us see.

Filters, every one.

Just for grins, take a little trip over to a.b.s.e. (same subject
heading)and take a look at what John Larkin's series resonant filter
feeding a parallel resonant filter strategy looks like as far as
allowing you to get a fifth harmonic from a fundamental square wave
goes.

--
John Fields

John Fields March 17th 04 01:54 AM

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


---
Any network which exhibits frequency selectivity is a filter, whether or
not you're concerned about whether or not it is or is not.

Think about it... from the lowly filter capacitor to the exalted
brickwall filter, they're all discrimating against a frequency or a set
of frequencies which we have told them we don't want them to let us see.

Filters, every one.

Just for grins, take a little trip over to a.b.s.e. (same subject
heading)and take a look at what John Larkin's series resonant filter
feeding a parallel resonant filter strategy looks like as far as
allowing you to get a fifth harmonic from a fundamental square wave
goes.

--
John Fields

John Larkin March 17th 04 03:43 AM

On Tue, 16 Mar 2004 19:54:27 -0600, John Fields
wrote:

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


---
Any network which exhibits frequency selectivity is a filter, whether or
not you're concerned about whether or not it is or is not.

Think about it... from the lowly filter capacitor to the exalted
brickwall filter, they're all discrimating against a frequency or a set
of frequencies which we have told them we don't want them to let us see.

Filters, every one.

Just for grins, take a little trip over to a.b.s.e. (same subject
heading)and take a look at what John Larkin's series resonant filter
feeding a parallel resonant filter strategy looks like as far as
allowing you to get a fifth harmonic from a fundamental square wave
goes.


That's just a standard bandpass. What you do is pick a normalized
lowpass filter that has the response shape you like, say a Tchebychev
(I know... various spellings) and scale it to the impedance Z' and
bandwidth W' you want. Then series resonate each L with a C, and
parallel resonate each C with an L, both at some desired center
frequency. Voila (pardon my French) a bandpass that's 2W' wide.

There's no real reason to cascade lossy Q-killing tuned transistor
stages when you can put all your Ls and Cs in one place.

John



John Larkin March 17th 04 03:43 AM

On Tue, 16 Mar 2004 19:54:27 -0600, John Fields
wrote:

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


---
Any network which exhibits frequency selectivity is a filter, whether or
not you're concerned about whether or not it is or is not.

Think about it... from the lowly filter capacitor to the exalted
brickwall filter, they're all discrimating against a frequency or a set
of frequencies which we have told them we don't want them to let us see.

Filters, every one.

Just for grins, take a little trip over to a.b.s.e. (same subject
heading)and take a look at what John Larkin's series resonant filter
feeding a parallel resonant filter strategy looks like as far as
allowing you to get a fifth harmonic from a fundamental square wave
goes.


That's just a standard bandpass. What you do is pick a normalized
lowpass filter that has the response shape you like, say a Tchebychev
(I know... various spellings) and scale it to the impedance Z' and
bandwidth W' you want. Then series resonate each L with a C, and
parallel resonate each C with an L, both at some desired center
frequency. Voila (pardon my French) a bandpass that's 2W' wide.

There's no real reason to cascade lossy Q-killing tuned transistor
stages when you can put all your Ls and Cs in one place.

John



Avery Fineman March 17th 04 07:02 AM

For a comparison of rectangular waveform on-times versus spectral
content, the following calculations were done on my WAVESPEC
program for a 0.50 to 0.25 times repetition period and with rise and
fall times equal to 0.02 times repetition period.

If the fundamental energy is the reference, then the harmonics
are down from that 0 db by the values shown:

/------------ width rel. to rep. period -==--------\
Harm 0.50 0.45 0.40 0.35 0.30 0.25
1 0 0 0 0 0 0
3 -6.4 -7.3 -8.4 -9.6 -11.1 -12.8
5 -28.0 -17.8 -15.1 -15.7 -20.3 *
7 -28.1 -20.1 -26.2 -27.7 -26.6 -29.1
9 -28.4 -24.6 -32.1 -44.2 -43.0 *
11 -28.7 -32.7 -42.2 -25.1 -35.8 -28.7
13 -29.1 * -29.1 * -29.1 *

* too far down to matter, not enough there

The above will hold true at any fundamental frequency provided the
rise and fall times are equal and each equal to 0.02 times the
repetition period. Those numbers will change given faster or slower
rise/fall times. All db calculated as 20 x Log (voltage). Width is
determined at the baseline, not the 50% amplitude point.

Len Anderson
retired (from regular hours) electronic engineer person

Avery Fineman March 17th 04 07:02 AM

For a comparison of rectangular waveform on-times versus spectral
content, the following calculations were done on my WAVESPEC
program for a 0.50 to 0.25 times repetition period and with rise and
fall times equal to 0.02 times repetition period.

If the fundamental energy is the reference, then the harmonics
are down from that 0 db by the values shown:

/------------ width rel. to rep. period -==--------\
Harm 0.50 0.45 0.40 0.35 0.30 0.25
1 0 0 0 0 0 0
3 -6.4 -7.3 -8.4 -9.6 -11.1 -12.8
5 -28.0 -17.8 -15.1 -15.7 -20.3 *
7 -28.1 -20.1 -26.2 -27.7 -26.6 -29.1
9 -28.4 -24.6 -32.1 -44.2 -43.0 *
11 -28.7 -32.7 -42.2 -25.1 -35.8 -28.7
13 -29.1 * -29.1 * -29.1 *

* too far down to matter, not enough there

The above will hold true at any fundamental frequency provided the
rise and fall times are equal and each equal to 0.02 times the
repetition period. Those numbers will change given faster or slower
rise/fall times. All db calculated as 20 x Log (voltage). Width is
determined at the baseline, not the 50% amplitude point.

Len Anderson
retired (from regular hours) electronic engineer person

Peter John Lawton March 17th 04 11:40 AM

Avery Fineman wrote:

For a comparison of rectangular waveform on-times versus spectral
content, the following calculations were done on my WAVESPEC
program for a 0.50 to 0.25 times repetition period and with rise and
fall times equal to 0.02 times repetition period.

If the fundamental energy is the reference, then the harmonics
are down from that 0 db by the values shown:

/------------ width rel. to rep. period -==--------\
Harm 0.50 0.45 0.40 0.35 0.30 0.25
1 0 0 0 0 0 0
3 -6.4 -7.3 -8.4 -9.6 -11.1 -12.8
5 -28.0 -17.8 -15.1 -15.7 -20.3 *
7 -28.1 -20.1 -26.2 -27.7 -26.6 -29.1
9 -28.4 -24.6 -32.1 -44.2 -43.0 *
11 -28.7 -32.7 -42.2 -25.1 -35.8 -28.7
13 -29.1 * -29.1 * -29.1 *

* too far down to matter, not enough there

The above will hold true at any fundamental frequency provided the
rise and fall times are equal and each equal to 0.02 times the
repetition period. Those numbers will change given faster or slower
rise/fall times. All db calculated as 20 x Log (voltage). Width is
determined at the baseline, not the 50% amplitude point.

Len Anderson
retired (from regular hours) electronic engineer person


I wonder what happens to these numbers as the rise/fall time tends to
zero?

Peter Lawton

Peter John Lawton March 17th 04 11:40 AM

Avery Fineman wrote:

For a comparison of rectangular waveform on-times versus spectral
content, the following calculations were done on my WAVESPEC
program for a 0.50 to 0.25 times repetition period and with rise and
fall times equal to 0.02 times repetition period.

If the fundamental energy is the reference, then the harmonics
are down from that 0 db by the values shown:

/------------ width rel. to rep. period -==--------\
Harm 0.50 0.45 0.40 0.35 0.30 0.25
1 0 0 0 0 0 0
3 -6.4 -7.3 -8.4 -9.6 -11.1 -12.8
5 -28.0 -17.8 -15.1 -15.7 -20.3 *
7 -28.1 -20.1 -26.2 -27.7 -26.6 -29.1
9 -28.4 -24.6 -32.1 -44.2 -43.0 *
11 -28.7 -32.7 -42.2 -25.1 -35.8 -28.7
13 -29.1 * -29.1 * -29.1 *

* too far down to matter, not enough there

The above will hold true at any fundamental frequency provided the
rise and fall times are equal and each equal to 0.02 times the
repetition period. Those numbers will change given faster or slower
rise/fall times. All db calculated as 20 x Log (voltage). Width is
determined at the baseline, not the 50% amplitude point.

Len Anderson
retired (from regular hours) electronic engineer person


I wonder what happens to these numbers as the rise/fall time tends to
zero?

Peter Lawton

Paul Burridge March 17th 04 12:03 PM

On Wed, 17 Mar 2004 11:06:42 +1000, Tony wrote:

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:
If I'm not mistaken, "tuned amplification" IS "filtering".


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


Wow - the strange things you learn on this thread! So how many poles does a
circuit need for it to be called a "filter"?


"Words mean what I choose them to mean! No more; no less."
- the Red Queen
:-)
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 12:03 PM

On Wed, 17 Mar 2004 11:06:42 +1000, Tony wrote:

On Tue, 16 Mar 2004 20:26:15 +0000, Paul Burridge
wrote:
If I'm not mistaken, "tuned amplification" IS "filtering".


An argument over semantics, then. AFAIC it's not filtering as such.
It introduces a high degree of selectivity, certainly. But when
someone says "filtering" I assume they're taking about a pi-network or
something of that sort, between stages or at the end of a chain of
stages.


Wow - the strange things you learn on this thread! So how many poles does a
circuit need for it to be called a "filter"?


"Words mean what I choose them to mean! No more; no less."
- the Red Queen
:-)
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 12:03 PM

On 16 Mar 2004 16:54:06 -0800, (Tom Bruhns) wrote:

FWIW, just now I had not trouble at all filtering the fifth out of a
square wave, in exactly the way I suggest below. It seems very silly
to me to put nonlinear elements in when you already have plenty of the
harmonic you want.


What leads you to believe I have enough 5th harmonic in *my*
particular case? Are you satisfied with the square wave I posted? Does
it look up to the job?

I don't know what logic family you're using, but
if it's a modern one like 74AC, you should have several milliwatts of
fifth harmonic available.


Currently 74HC but I've got some ACs (shouldn't need anything special
for this relatively low frequency target, I'd have thought).

A simple series resonant LC from the logic
output to the base of a 2N2219-type transistor should get you at least
a couple mA RMS of fifth harmonic base current, assuming a
grounded-emitter stage with roughly 50 ohms input resistance.


Should do, shouldn't it.

Make
the loaded Q of the LC something around 10 to 20, and you won't screw
up the amplifier with other harmonics or the fundamental. Be a bit
careful about the coil you use, because it will be fairly high
inductance for the frequency you're interested in...that is, keep the
unloaded Q and the self-resonant frequency high enough. Use another
moderate-Q tank in the collector circuit; you should be able to get
over 100mW of fifth, with other harmonics down 40dB or more. You can
get more complicated with the filtering if it's necessary, but for
fixed-frequency operation, there's nothing wrong with simple
synchronous tuning of single resonators set to reasonably high Q. If
you insist on using the unnecessary complication of a multi-pole
bandpass filter, be sure the one from the square wave to the amplifier
starts with a series resonator, not a shunt resonator.


I'm going to have a bash at this this afternoon. Not strictly
according to your suggestions at this stage, but I just want to know
if there's a sniff of 5th about at all.

Sheesh...all you need to do is selectively amplify the harmonic you
want; it's already there. Don't add complexity trying to generate
something you already have in abundance.


Still waiting to see evidence of that "abundance" - no sign so far.
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 12:03 PM

On 16 Mar 2004 16:54:06 -0800, (Tom Bruhns) wrote:

FWIW, just now I had not trouble at all filtering the fifth out of a
square wave, in exactly the way I suggest below. It seems very silly
to me to put nonlinear elements in when you already have plenty of the
harmonic you want.


What leads you to believe I have enough 5th harmonic in *my*
particular case? Are you satisfied with the square wave I posted? Does
it look up to the job?

I don't know what logic family you're using, but
if it's a modern one like 74AC, you should have several milliwatts of
fifth harmonic available.


Currently 74HC but I've got some ACs (shouldn't need anything special
for this relatively low frequency target, I'd have thought).

A simple series resonant LC from the logic
output to the base of a 2N2219-type transistor should get you at least
a couple mA RMS of fifth harmonic base current, assuming a
grounded-emitter stage with roughly 50 ohms input resistance.


Should do, shouldn't it.

Make
the loaded Q of the LC something around 10 to 20, and you won't screw
up the amplifier with other harmonics or the fundamental. Be a bit
careful about the coil you use, because it will be fairly high
inductance for the frequency you're interested in...that is, keep the
unloaded Q and the self-resonant frequency high enough. Use another
moderate-Q tank in the collector circuit; you should be able to get
over 100mW of fifth, with other harmonics down 40dB or more. You can
get more complicated with the filtering if it's necessary, but for
fixed-frequency operation, there's nothing wrong with simple
synchronous tuning of single resonators set to reasonably high Q. If
you insist on using the unnecessary complication of a multi-pole
bandpass filter, be sure the one from the square wave to the amplifier
starts with a series resonator, not a shunt resonator.


I'm going to have a bash at this this afternoon. Not strictly
according to your suggestions at this stage, but I just want to know
if there's a sniff of 5th about at all.

Sheesh...all you need to do is selectively amplify the harmonic you
want; it's already there. Don't add complexity trying to generate
something you already have in abundance.


Still waiting to see evidence of that "abundance" - no sign so far.
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 12:03 PM

On Tue, 16 Mar 2004 19:43:24 -0800, John Larkin
wrote:

On Tue, 16 Mar 2004 19:54:27 -0600, John Fields
wrote:


Just for grins, take a little trip over to a.b.s.e. (same subject
heading)and take a look at what John Larkin's series resonant filter
feeding a parallel resonant filter strategy looks like as far as
allowing you to get a fifth harmonic from a fundamental square wave
goes.


Okay, well at least I can see this one! Not sure about the SA trace,
though. Came out clearly enough but I'm not sure what you were trying
to prove by it. As for the 'scope traces, there doesn't seem to be any
phase correlation between the two and you don't indicate at what point
the probe was inserted. The square wave r/f slopes look a bit tardy,
too. What was the active device you used to generate them?

That's just a standard bandpass. What you do is pick a normalized
lowpass filter that has the response shape you like, say a Tchebychev
(I know... various spellings) and scale it to the impedance Z' and
bandwidth W' you want. Then series resonate each L with a C, and
parallel resonate each C with an L, both at some desired center
frequency. Voila (pardon my French) a bandpass that's 2W' wide.


It's basically the same type as Reg's program designed for me. That
was built on Sunday, tested and found to be bang on the money and
later today I shall try to see if it can be used to 'extract' the
elusive 5th. I have to admit I'll be surprised if there's nothing
there at all, but we'll have to wait and see. Don't touch that dial!
:-)



--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 12:03 PM

On Tue, 16 Mar 2004 19:43:24 -0800, John Larkin
wrote:

On Tue, 16 Mar 2004 19:54:27 -0600, John Fields
wrote:


Just for grins, take a little trip over to a.b.s.e. (same subject
heading)and take a look at what John Larkin's series resonant filter
feeding a parallel resonant filter strategy looks like as far as
allowing you to get a fifth harmonic from a fundamental square wave
goes.


Okay, well at least I can see this one! Not sure about the SA trace,
though. Came out clearly enough but I'm not sure what you were trying
to prove by it. As for the 'scope traces, there doesn't seem to be any
phase correlation between the two and you don't indicate at what point
the probe was inserted. The square wave r/f slopes look a bit tardy,
too. What was the active device you used to generate them?

That's just a standard bandpass. What you do is pick a normalized
lowpass filter that has the response shape you like, say a Tchebychev
(I know... various spellings) and scale it to the impedance Z' and
bandwidth W' you want. Then series resonate each L with a C, and
parallel resonate each C with an L, both at some desired center
frequency. Voila (pardon my French) a bandpass that's 2W' wide.


It's basically the same type as Reg's program designed for me. That
was built on Sunday, tested and found to be bang on the money and
later today I shall try to see if it can be used to 'extract' the
elusive 5th. I have to admit I'll be surprised if there's nothing
there at all, but we'll have to wait and see. Don't touch that dial!
:-)



--

The BBC: Licensed at public expense to spread lies.

John Fields March 17th 04 02:58 PM

On Wed, 17 Mar 2004 12:03:04 +0000, Paul Burridge
wrote:


Okay, well at least I can see this one! Not sure about the SA trace,
though. Came out clearly enough but I'm not sure what you were trying
to prove by it.


---
It's an FFT of what's coming out of Larkin's suggested two-stage
bandpass filter.

The first vertical marker (f1) goes through the first peak, 17.19MHz,
which proves the fifth is in a 3.44MHz square wave. The second marker
goes through 34.38, so so's the tenth.
---

As for the 'scope traces, there doesn't seem to be any
phase correlation between the two and you don't indicate at what point
the probe was inserted.


---
Are you kidding? Count the high frequency cycles between the first
leading edge and the same point on the second leading edge of the square
wave and you'll find there are exactly five.
---

The square wave r/f slopes look a bit tardy,
too.


---
That's because the generator wasn't isolated from the filter and you're
seeing the filter's input dragging it around.
---

What was the active device you used to generate them?


---
Tektronics FG502. Here's the layout:



[TEK FG502]-+-[BPF]-+-[TEK 2465A]---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]



--
John Fields

John Fields March 17th 04 02:58 PM

On Wed, 17 Mar 2004 12:03:04 +0000, Paul Burridge
wrote:


Okay, well at least I can see this one! Not sure about the SA trace,
though. Came out clearly enough but I'm not sure what you were trying
to prove by it.


---
It's an FFT of what's coming out of Larkin's suggested two-stage
bandpass filter.

The first vertical marker (f1) goes through the first peak, 17.19MHz,
which proves the fifth is in a 3.44MHz square wave. The second marker
goes through 34.38, so so's the tenth.
---

As for the 'scope traces, there doesn't seem to be any
phase correlation between the two and you don't indicate at what point
the probe was inserted.


---
Are you kidding? Count the high frequency cycles between the first
leading edge and the same point on the second leading edge of the square
wave and you'll find there are exactly five.
---

The square wave r/f slopes look a bit tardy,
too.


---
That's because the generator wasn't isolated from the filter and you're
seeing the filter's input dragging it around.
---

What was the active device you used to generate them?


---
Tektronics FG502. Here's the layout:



[TEK FG502]-+-[BPF]-+-[TEK 2465A]---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]



--
John Fields

John Fields March 17th 04 03:13 PM

On Wed, 17 Mar 2004 08:58:18 -0600, John Fields
wrote:



[TEK FG502]-+-[BPF]-+-[TEK 2465A]---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]



Should be:

+---------|IN1 |
| |TEK2465A|
[TEK FG502]-+-[BPF]-+-|IN2 OUT2|---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]


--
John Fields

John Fields March 17th 04 03:13 PM

On Wed, 17 Mar 2004 08:58:18 -0600, John Fields
wrote:



[TEK FG502]-+-[BPF]-+-[TEK 2465A]---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]



Should be:

+---------|IN1 |
| |TEK2465A|
[TEK FG502]-+-[BPF]-+-|IN2 OUT2|---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]


--
John Fields

Paul Burridge March 17th 04 03:47 PM

On Wed, 17 Mar 2004 08:58:18 -0600, John Fields
wrote:

It's an FFT of what's coming out of Larkin's suggested two-stage
bandpass filter.

The first vertical marker (f1) goes through the first peak, 17.19MHz,
which proves the fifth is in a 3.44MHz square wave. The second marker
goes through 34.38, so so's the tenth.


Curious that there should be a sizeable pass response at the tenth
harmonic, isn't it? It doesn't appear to be *that* much down on the
intended pass frequency although there appears to be no indexing for
the y axis.

Are you kidding? Count the high frequency cycles between the first
leading edge and the same point on the second leading edge of the square
wave and you'll find there are exactly five.


Well, I admit I'm a bit of a greenhorn on these things, but to my eyes
there appears to be some phase difference. I'll accept your word for
it there isn't.

What was the active device you used to generate them?


---
Tektronics FG502. Here's the layout:



[TEK FG502]-+-[BPF]-+-[TEK 2465A]---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]


Many thanks. I hope it didn't involve you in too much setting-up time
to investigate this and post your findings.

--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 03:47 PM

On Wed, 17 Mar 2004 08:58:18 -0600, John Fields
wrote:

It's an FFT of what's coming out of Larkin's suggested two-stage
bandpass filter.

The first vertical marker (f1) goes through the first peak, 17.19MHz,
which proves the fifth is in a 3.44MHz square wave. The second marker
goes through 34.38, so so's the tenth.


Curious that there should be a sizeable pass response at the tenth
harmonic, isn't it? It doesn't appear to be *that* much down on the
intended pass frequency although there appears to be no indexing for
the y axis.

Are you kidding? Count the high frequency cycles between the first
leading edge and the same point on the second leading edge of the square
wave and you'll find there are exactly five.


Well, I admit I'm a bit of a greenhorn on these things, but to my eyes
there appears to be some phase difference. I'll accept your word for
it there isn't.

What was the active device you used to generate them?


---
Tektronics FG502. Here's the layout:



[TEK FG502]-+-[BPF]-+-[TEK 2465A]---[HP5328A]
| |
| +-[HP54602B]
|
[TEK DC504]


Many thanks. I hope it didn't involve you in too much setting-up time
to investigate this and post your findings.

--

The BBC: Licensed at public expense to spread lies.

Avery Fineman March 17th 04 07:42 PM

In article , Peter John Lawton
writes:

The above will hold true at any fundamental frequency provided the
rise and fall times are equal and each equal to 0.02 times the
repetition period. Those numbers will change given faster or slower
rise/fall times. All db calculated as 20 x Log (voltage). Width is
determined at the baseline, not the 50% amplitude point.

Len Anderson
retired (from regular hours) electronic engineer person


I wonder what happens to these numbers as the rise/fall time tends to
zero?


The harmonic content will increase...but also show dips depending
on the percentage width relative to the period. I could present those
(takes only minutes to run the program and transcribe the results)
but that is academic only. The rise and fall times will NOT be zero
due to the repetition frequency being high (repetition time short).

Consider that a 3 MHz waveform has a period of 333 1/3 nSec and
that Paul is using a TTL family inverter to make the square wave.
Even with a Schmitt trigger inverter the t_r and t_f are going to be
finite, possibly 15 nSec with a fast device (and some capacitive
loading or semi-resonant whatever to mess with on- and off-times).

15 nSec is 4.5% of the repetition period, quite finite...more than I
showed on the small table given previously.

I'm sure someone out there wants to argue minutae on numbers but
what is being discussed is a squarish waveform with a repetition
frequency in the low HF range. Periods are valued in nanoSeconds
and the on/off times of squaring devices are ALSO in nanoSeconds.
There's just NOT going to be any sort of "zero" on/off times with
practical logic devices used by hobbyists.

What is not intuitive to me (and to others) is that harmonic energy
of a rectangular waveform drops drastically by the 5th harmonic
and is certainly lower than "obvious" numbers bandied about.

But, also mentioned before by others is that shortening the rect-
angular waveshape DOES increase the 5th harmonic, as evident
by the approximate 12 db increase at 40 to 35 percent of the
repetition period.

An equivalent shortening happens in vacuum tube multipliers
through biasing (self, fixed, or both) and that can be adjustable
along with the drive level. It's not quite the same with bipolars
since the overdrive effects are more saturation than in the self-
bias conditions of tubes. It's close, though.

From all indications of the Fourier series results, there's a definite
reason why so few multipliers went beyond tripling. The amount
of energy (relative to fundamental and taking into account the
finite rise and fall times) of 4th and higher harmonics just isn't as
much as intuition would have everyone believe!

Len Anderson
retired (from regular hours) electronic engineer person

Avery Fineman March 17th 04 07:42 PM

In article , Peter John Lawton
writes:

The above will hold true at any fundamental frequency provided the
rise and fall times are equal and each equal to 0.02 times the
repetition period. Those numbers will change given faster or slower
rise/fall times. All db calculated as 20 x Log (voltage). Width is
determined at the baseline, not the 50% amplitude point.

Len Anderson
retired (from regular hours) electronic engineer person


I wonder what happens to these numbers as the rise/fall time tends to
zero?


The harmonic content will increase...but also show dips depending
on the percentage width relative to the period. I could present those
(takes only minutes to run the program and transcribe the results)
but that is academic only. The rise and fall times will NOT be zero
due to the repetition frequency being high (repetition time short).

Consider that a 3 MHz waveform has a period of 333 1/3 nSec and
that Paul is using a TTL family inverter to make the square wave.
Even with a Schmitt trigger inverter the t_r and t_f are going to be
finite, possibly 15 nSec with a fast device (and some capacitive
loading or semi-resonant whatever to mess with on- and off-times).

15 nSec is 4.5% of the repetition period, quite finite...more than I
showed on the small table given previously.

I'm sure someone out there wants to argue minutae on numbers but
what is being discussed is a squarish waveform with a repetition
frequency in the low HF range. Periods are valued in nanoSeconds
and the on/off times of squaring devices are ALSO in nanoSeconds.
There's just NOT going to be any sort of "zero" on/off times with
practical logic devices used by hobbyists.

What is not intuitive to me (and to others) is that harmonic energy
of a rectangular waveform drops drastically by the 5th harmonic
and is certainly lower than "obvious" numbers bandied about.

But, also mentioned before by others is that shortening the rect-
angular waveshape DOES increase the 5th harmonic, as evident
by the approximate 12 db increase at 40 to 35 percent of the
repetition period.

An equivalent shortening happens in vacuum tube multipliers
through biasing (self, fixed, or both) and that can be adjustable
along with the drive level. It's not quite the same with bipolars
since the overdrive effects are more saturation than in the self-
bias conditions of tubes. It's close, though.

From all indications of the Fourier series results, there's a definite
reason why so few multipliers went beyond tripling. The amount
of energy (relative to fundamental and taking into account the
finite rise and fall times) of 4th and higher harmonics just isn't as
much as intuition would have everyone believe!

Len Anderson
retired (from regular hours) electronic engineer person

Tom Bruhns March 17th 04 08:31 PM

Paul Burridge wrote in message . ..
....
What leads you to believe I have enough 5th harmonic in *my*
particular case?


The trace on the web site you provided a link to. The fact that
you're using HC logic (which has inherent rise and fall times rather
faster than the square wave source I used in my experiment). Your
avering that the duty cycle is very nearly 50%. That's not to say you
aren't doing something to kill it, but it's NOT difficult to extract
it. Note that the subject you put on this thread really nails it:
all you need to do is extract (and possibly amplify, depending on the
final power level you need) what's already there. Now go do it. But
feeding the whole square wave to the amplifier stage is a BAD idea
because you can inadventently change the duty cycle (as seen at that
amplifier's output) to one where the fifth is nulled. If you only
need a few milliwatts, you can get that from the square wave directly,
if the source impedance is low enough, simply by using the proper
filter.

Tom Bruhns March 17th 04 08:31 PM

Paul Burridge wrote in message . ..
....
What leads you to believe I have enough 5th harmonic in *my*
particular case?


The trace on the web site you provided a link to. The fact that
you're using HC logic (which has inherent rise and fall times rather
faster than the square wave source I used in my experiment). Your
avering that the duty cycle is very nearly 50%. That's not to say you
aren't doing something to kill it, but it's NOT difficult to extract
it. Note that the subject you put on this thread really nails it:
all you need to do is extract (and possibly amplify, depending on the
final power level you need) what's already there. Now go do it. But
feeding the whole square wave to the amplifier stage is a BAD idea
because you can inadventently change the duty cycle (as seen at that
amplifier's output) to one where the fifth is nulled. If you only
need a few milliwatts, you can get that from the square wave directly,
if the source impedance is low enough, simply by using the proper
filter.

Paul Burridge March 17th 04 11:43 PM

On 17 Mar 2004 12:31:14 -0800, (Tom Bruhns) wrote:

Paul Burridge wrote in message . ..
...
What leads you to believe I have enough 5th harmonic in *my*
particular case?


The trace on the web site you provided a link to. The fact that
you're using HC logic (which has inherent rise and fall times rather
faster than the square wave source I used in my experiment). Your
avering that the duty cycle is very nearly 50%. That's not to say you
aren't doing something to kill it, but it's NOT difficult to extract
it. Note that the subject you put on this thread really nails it:
all you need to do is extract (and possibly amplify, depending on the
final power level you need) what's already there. Now go do it. But
feeding the whole square wave to the amplifier stage is a BAD idea
because you can inadventently change the duty cycle (as seen at that
amplifier's output) to one where the fifth is nulled. If you only
need a few milliwatts, you can get that from the square wave directly,
if the source impedance is low enough, simply by using the proper
filter.


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.

--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 17th 04 11:43 PM

On 17 Mar 2004 12:31:14 -0800, (Tom Bruhns) wrote:

Paul Burridge wrote in message . ..
...
What leads you to believe I have enough 5th harmonic in *my*
particular case?


The trace on the web site you provided a link to. The fact that
you're using HC logic (which has inherent rise and fall times rather
faster than the square wave source I used in my experiment). Your
avering that the duty cycle is very nearly 50%. That's not to say you
aren't doing something to kill it, but it's NOT difficult to extract
it. Note that the subject you put on this thread really nails it:
all you need to do is extract (and possibly amplify, depending on the
final power level you need) what's already there. Now go do it. But
feeding the whole square wave to the amplifier stage is a BAD idea
because you can inadventently change the duty cycle (as seen at that
amplifier's output) to one where the fifth is nulled. If you only
need a few milliwatts, you can get that from the square wave directly,
if the source impedance is low enough, simply by using the proper
filter.


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.

--

The BBC: Licensed at public expense to spread lies.

Tony March 18th 04 12:42 AM

Ignoring most of the previous posts in this thread (sorry - I deleted them) it
occurs to me that maybe the problem may be the relatively low impedance load on
the buffer, whose finite output impedance therefore causes some waveform
distortion and loss of 5th harmonic. So how about a hi-Z parallel tank coupling
circuit; for 17.2MHz (say 4p7 || 18uH) into a load of 100-500 ohms (say a 1k pot
+ 100n to Gnd, to see the effect of load variations), then into another 74AC
buffer?

Tony (remove the "_" to reply by email)

Tony March 18th 04 12:42 AM

Ignoring most of the previous posts in this thread (sorry - I deleted them) it
occurs to me that maybe the problem may be the relatively low impedance load on
the buffer, whose finite output impedance therefore causes some waveform
distortion and loss of 5th harmonic. So how about a hi-Z parallel tank coupling
circuit; for 17.2MHz (say 4p7 || 18uH) into a load of 100-500 ohms (say a 1k pot
+ 100n to Gnd, to see the effect of load variations), then into another 74AC
buffer?

Tony (remove the "_" to reply by email)

Tony March 18th 04 01:33 AM

On Thu, 18 Mar 2004 10:42:22 +1000, Tony wrote:

Ignoring most of the previous posts in this thread (sorry - I deleted them) it
occurs to me that maybe the problem may be the relatively low impedance load on
the buffer, whose finite output impedance therefore causes some waveform
distortion and loss of 5th harmonic. So how about a hi-Z parallel tank coupling
circuit; for 17.2MHz (say 4p7 || 18uH) into a load of 100-500 ohms (say a 1k pot
+ 100n to Gnd, to see the effect of load variations), then into another 74AC
buffer?

Tony (remove the "_" to reply by email)


Actually the tank's output will be biased to half-rail, which won't necessarily
bias the CMOS output buffer properly. May need to cap-couple to the buffer, with
a feedback resistor so it will self-bias (another case of reading the post AFTER
hitting "send").
Tony (remove the "_" to reply by email)

Tony March 18th 04 01:33 AM

On Thu, 18 Mar 2004 10:42:22 +1000, Tony wrote:

Ignoring most of the previous posts in this thread (sorry - I deleted them) it
occurs to me that maybe the problem may be the relatively low impedance load on
the buffer, whose finite output impedance therefore causes some waveform
distortion and loss of 5th harmonic. So how about a hi-Z parallel tank coupling
circuit; for 17.2MHz (say 4p7 || 18uH) into a load of 100-500 ohms (say a 1k pot
+ 100n to Gnd, to see the effect of load variations), then into another 74AC
buffer?

Tony (remove the "_" to reply by email)


Actually the tank's output will be biased to half-rail, which won't necessarily
bias the CMOS output buffer properly. May need to cap-couple to the buffer, with
a feedback resistor so it will self-bias (another case of reading the post AFTER
hitting "send").
Tony (remove the "_" to reply by email)

John Fields March 18th 04 03:00 AM

On Wed, 17 Mar 2004 23:43:57 +0000, Paul Burridge
wrote:

On 17 Mar 2004 12:31:14 -0800, (Tom Bruhns) wrote:

Paul Burridge wrote in message . ..
...
What leads you to believe I have enough 5th harmonic in *my*
particular case?


The trace on the web site you provided a link to. The fact that
you're using HC logic (which has inherent rise and fall times rather
faster than the square wave source I used in my experiment). Your
avering that the duty cycle is very nearly 50%. That's not to say you
aren't doing something to kill it, but it's NOT difficult to extract
it. Note that the subject you put on this thread really nails it:
all you need to do is extract (and possibly amplify, depending on the
final power level you need) what's already there. Now go do it. But
feeding the whole square wave to the amplifier stage is a BAD idea
because you can inadventently change the duty cycle (as seen at that
amplifier's output) to one where the fifth is nulled. If you only
need a few milliwatts, you can get that from the square wave directly,
if the source impedance is low enough, simply by using the proper
filter.


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.


---
That doesn't make any sense from the point of view that you've already
posted a schematic showing a couple of gain stages. How much 17 MHz.
do you really need and what does what you want to feed it into look
like?


John Fields March 18th 04 03:00 AM

On Wed, 17 Mar 2004 23:43:57 +0000, Paul Burridge
wrote:

On 17 Mar 2004 12:31:14 -0800, (Tom Bruhns) wrote:

Paul Burridge wrote in message . ..
...
What leads you to believe I have enough 5th harmonic in *my*
particular case?


The trace on the web site you provided a link to. The fact that
you're using HC logic (which has inherent rise and fall times rather
faster than the square wave source I used in my experiment). Your
avering that the duty cycle is very nearly 50%. That's not to say you
aren't doing something to kill it, but it's NOT difficult to extract
it. Note that the subject you put on this thread really nails it:
all you need to do is extract (and possibly amplify, depending on the
final power level you need) what's already there. Now go do it. But
feeding the whole square wave to the amplifier stage is a BAD idea
because you can inadventently change the duty cycle (as seen at that
amplifier's output) to one where the fifth is nulled. If you only
need a few milliwatts, you can get that from the square wave directly,
if the source impedance is low enough, simply by using the proper
filter.


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.


---
That doesn't make any sense from the point of view that you've already
posted a schematic showing a couple of gain stages. How much 17 MHz.
do you really need and what does what you want to feed it into look
like?


Tom Bruhns March 18th 04 06:19 AM

Paul Burridge wrote in message . ..


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.


Exactly how much power do you need? Exactly how "clean" (free from
other harmonics) must it be? Don't you have an amplifier in the
circuit you're playing with anyway? 100mW should be easy with a
single stage following the digital square wave, and a full watt is
certainly feasible with the right design. If you were hoping for
100mW of fifth harmonic from a single HC output, you were probably
dreaming.

Tom Bruhns March 18th 04 06:19 AM

Paul Burridge wrote in message . ..


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.


Exactly how much power do you need? Exactly how "clean" (free from
other harmonics) must it be? Don't you have an amplifier in the
circuit you're playing with anyway? 100mW should be easy with a
single stage following the digital square wave, and a full watt is
certainly feasible with the right design. If you were hoping for
100mW of fifth harmonic from a single HC output, you were probably
dreaming.

Paul Burridge March 18th 04 10:42 AM

On 17 Mar 2004 22:19:39 -0800, (Tom Bruhns) wrote:

Paul Burridge wrote in message . ..


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.


Exactly how much power do you need?


Only enough to feed another inverter gate.

Exactly how "clean" (free from
other harmonics) must it be?


Preferably filthy. It's another multiplier (this time only 3X, thank
God!)

Don't you have an amplifier in the
circuit you're playing with anyway?


Yeah, but who needs insertion loss on top of the 8dB the filter's down
even at centre pass frequency.

100mW should be easy with a
single stage following the digital square wave, and a full watt is
certainly feasible with the right design. If you were hoping for
100mW of fifth harmonic from a single HC output, you were probably
dreaming.


As opposed to the *nightmare* of the reality. :-)

--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 18th 04 10:42 AM

On 17 Mar 2004 22:19:39 -0800, (Tom Bruhns) wrote:

Paul Burridge wrote in message . ..


Yes, but I'd hoped to avoid any intermediate amplification stages.
Looks like I'll have to swallow it.


Exactly how much power do you need?


Only enough to feed another inverter gate.

Exactly how "clean" (free from
other harmonics) must it be?


Preferably filthy. It's another multiplier (this time only 3X, thank
God!)

Don't you have an amplifier in the
circuit you're playing with anyway?


Yeah, but who needs insertion loss on top of the 8dB the filter's down
even at centre pass frequency.

100mW should be easy with a
single stage following the digital square wave, and a full watt is
certainly feasible with the right design. If you were hoping for
100mW of fifth harmonic from a single HC output, you were probably
dreaming.


As opposed to the *nightmare* of the reality. :-)

--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 18th 04 10:42 AM

On Thu, 18 Mar 2004 11:33:17 +1000, Tony wrote:

On Thu, 18 Mar 2004 10:42:22 +1000, Tony wrote:

Ignoring most of the previous posts in this thread (sorry - I deleted them) it
occurs to me that maybe the problem may be the relatively low impedance load on
the buffer, whose finite output impedance therefore causes some waveform
distortion and loss of 5th harmonic. So how about a hi-Z parallel tank coupling
circuit; for 17.2MHz (say 4p7 || 18uH) into a load of 100-500 ohms (say a 1k pot
+ 100n to Gnd, to see the effect of load variations), then into another 74AC
buffer?

Tony (remove the "_" to reply by email)


Actually the tank's output will be biased to half-rail, which won't necessarily
bias the CMOS output buffer properly. May need to cap-couple to the buffer, with
a feedback resistor so it will self-bias (another case of reading the post AFTER
hitting "send").


There's a lot of that goes on here. :-)
I'll look into the idea, thanks.
--

The BBC: Licensed at public expense to spread lies.

Paul Burridge March 18th 04 10:42 AM

On Thu, 18 Mar 2004 11:33:17 +1000, Tony wrote:

On Thu, 18 Mar 2004 10:42:22 +1000, Tony wrote:

Ignoring most of the previous posts in this thread (sorry - I deleted them) it
occurs to me that maybe the problem may be the relatively low impedance load on
the buffer, whose finite output impedance therefore causes some waveform
distortion and loss of 5th harmonic. So how about a hi-Z parallel tank coupling
circuit; for 17.2MHz (say 4p7 || 18uH) into a load of 100-500 ohms (say a 1k pot
+ 100n to Gnd, to see the effect of load variations), then into another 74AC
buffer?

Tony (remove the "_" to reply by email)


Actually the tank's output will be biased to half-rail, which won't necessarily
bias the CMOS output buffer properly. May need to cap-couple to the buffer, with
a feedback resistor so it will self-bias (another case of reading the post AFTER
hitting "send").


There's a lot of that goes on here. :-)
I'll look into the idea, thanks.
--

The BBC: Licensed at public expense to spread lies.

Tom Bruhns March 18th 04 06:16 PM

Paul Burridge wrote in message . ..

Exactly how much power do you need?


Only enough to feed another inverter gate.


Egad, Paul! You've been wasting this much net bandwidth just to drive
another HC gate?? All you need is a filter/matching circuit that
steps up the voltage. This is DOG SIMPLE! See below.

Exactly how "clean" (free from
other harmonics) must it be?


Preferably filthy. It's another multiplier (this time only 3X, thank
God!)


Then you need a clean enough input that you'll get the desired output
purity. "Filthy" is likely NOT the right answer and will just get you
into further trouble. But fortunately, "clean" is simple, and "really
clean" isn't at all difficult.

Try this: square wave output -- I don't recall your exact freq; I
used 3.7MHz -- from HC gate, feeds 4.58pF capacitor (make at least
that one tuneable). Other end of cap feeds 20uH inductor, Qu=200.
Other end of that inductor connects to next gate input, and net 18.6pF
of capacitance to ground: say 15pF cap plus 3.6pF of gate input
capacitance. For DC bias, gate input to ground = 22kohms; gate input
to Vcc = 47kohms. That keeps the gate in a valid logic state when
there's no excitation. Assuming the gate's RF input resistance at
18MHz is at least 2.5kohms, you should get a voltage gain at the fifth
harmonic of about 15dB, which will be ample to drive the gate input.
The available current from the filter is low enough that the gate's
input protection diodes should clamp things nicely at the rails. Be
sure to use a gate that has input protection, or else add
low-capacitance, fast diodes externally. Gain at the third and
seventh is down 20dB or so from that. If it needs to be cleaner than
that, you can add a second resonator.

The gate biasing suggested may result in an output duty cycle
significantly different from 50%. If you will always have 3.7MHz
drive, you can bias the input more in the center of its range, or even
rearrange the circuit a bit and use a feedback resistor from output to
input to set the DC bias. The gate's input impedance is then much
lower, but you don't need much voltage to drive it. Don't use that
trick with a Schmitt trigger input, though.

69 turns of 36AWG (0.125mm) wire, spaced 2 wire diameters c-c, on an
0.375" former, should give you about 20uH at Qu=200 and first parallel
SRF about 50MHz, but you should be able to make it more compact using
something like a T-50-2 powdered iron core.


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