RadioBanter

RadioBanter (https://www.radiobanter.com/)
-   Shortwave (https://www.radiobanter.com/shortwave/)
-   -   AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency (https://www.radiobanter.com/shortwave/121254-am-electromagnetic-waves-20-khz-modulation-frequency-astronomically-low-carrier-frequency.html)

Don Bowey July 2nd 07 07:24 PM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 
On 7/2/07 11:00 AM, in article , "John Smith"
wrote:

John Smith wrote:

[stuff]


And, by the way, when using plate modulation on a transmitter, the DC
input to plates of the transmitter has a modulated signal impressed upon
it by a modulation transformer (simply an audio transformer), every watt
of power to the xmitter is so impressed ... The DC voltage/current to
the xmitter contains the voice data--indeed, the exact same data which
is impressed onto the DC on a telephone line (voice/modulation.)

However, the real importance of this will only become clear to you when
you come out from under the influence of whatever it is you are smokin' ...

JS


But I know WHY the plate modulated rig creates sidebands, and you still
don't, because you refuse to learn.


John Smith July 2nd 07 07:53 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-lowcarrier frequency
 
Don Bowey wrote:

But I know WHY the plate modulated rig creates sidebands, and you still
don't, because you refuse to learn.


Interesting, now you attempt to divert the conversation into the
modulation having been, FINALLY, impressed into the sidebands ...

Hell, it was just such a chore bringing your education up to speed on
this one point, I'd have to be paid to continue your education!

JS

Don Bowey July 2nd 07 08:13 PM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 
On 7/2/07 11:53 AM, in article , "John Smith"
wrote:

Don Bowey wrote:

But I know WHY the plate modulated rig creates sidebands, and you still
don't, because you refuse to learn.


Interesting, now you attempt to divert the conversation into the
modulation having been, FINALLY, impressed into the sidebands ...

Hell, it was just such a chore bringing your education up to speed on
this one point, I'd have to be paid to continue your education!

JS


You allude to knowing how the sidebands come into being yet you cannot
provide any clue that you really understand AM, and you continue to think
microphone current in a telephone loop is the same thing. You're as FOS as
they come.

I doubt you have fooled anyone on this board with your attempts to look like
you know more than you really do.






John Smith July 2nd 07 08:29 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-lowcarrier frequency
 
Don Bowey wrote:

You allude to knowing how the sidebands come into being yet you cannot
provide any clue that you really understand AM, and you continue to think
microphone current in a telephone loop is the same thing. You're as FOS as
they come.

I doubt you have fooled anyone on this board with your attempts to look like
you know more than you really do.


Buddy, you speak about these people being "fooled", interesting term,
implying you consider them fools!

I doubt that is true, they have seen through you in a heartbeat, most,
probably long before now ... I imagine they are just embarrassed for
you--having made such an A$$ of yourself ...

JS

Don Bowey July 2nd 07 09:04 PM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 
On 7/2/07 12:29 PM, in article , "John Smith"
wrote:

Don Bowey wrote:

You allude to knowing how the sidebands come into being yet you cannot
provide any clue that you really understand AM, and you continue to think
microphone current in a telephone loop is the same thing. You're as FOS as
they come.

I doubt you have fooled anyone


Please point out, above, or wherever you wish, where I said they were
fooled. You can't you POS liar.


Buddy, you speak about these people being "fooled", interesting term,
implying you consider them fools!


on this board with your attempts to look like you know more than you really

do.


I doubt that is true, they have seen through you in a heartbeat, most,
probably long before now ... I imagine they are just embarrassed for
you--having made such an A$$ of yourself ...

JS


While you continue to allude to skills and knowledge you don't have.

Do you often get away with this useless chest beating?



John Smith July 2nd 07 10:12 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-lowcarrier frequency
 
Don Bowey wrote:

...
While you continue to allude to skills and knowledge you don't have.

Do you often get away with this useless chest beating?



You pathetically petty idiot ... I guess you call names because of your
age. Or, others have called you names and it has hurt your ego. Get an
education, grow-up and get off the drugs--you will be able to finally
respect yourself! :-(

Best hope in your therapy!

JS

Don Bowey July 2nd 07 10:21 PM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 
On 7/2/07 2:12 PM, in article , "John Smith"
wrote:

Don Bowey wrote:

...
While you continue to allude to skills and knowledge you don't have.

Do you often get away with this useless chest beating?



You pathetically petty idiot ... I guess you call names because of your
age. Or, others have called you names and it has hurt your ego. Get an
education, grow-up and get off the drugs--you will be able to finally
respect yourself! :-(

Best hope in your therapy!

JS


But POS was intended for guys like you.

Ok! Again, you win. Please enjoy your blissful ignorance with my good
wishes.

Finis



RHF July 2nd 07 10:42 PM

snip, Snip. SNIP ! the "Rec.Radio.Shortwave" Group from the Newsgroups {Distribution} Header - please, Please. PLEASE !
 
On Jul 2, 6:16 am, Don Bowey wrote:
On 7/1/07 10:06 PM, in article
,

"Telamon" wrote:
In article ,
cledus wrote:


Snip


Would you please have the decency to snip rec.radio.shortwave and other
groups from the newsgroup header. Thanks.


- Would you please come and ask nicely.
- I don't like how you put your order.

don bowey, Don Bowey. DON BOWEY !

Oh Please with Sugar and Spice and Everything Nice
snip, Snip. SNIP ! the "Rec.Radio.Shortwave" Group
from the Newsgroups {Distribution} Header when you
Post your Reply - It would be ever so decent of you
Kind and Wonder Sir. ;-)

thank you very much - most respectfully ~ RHF

[email protected] July 2nd 07 10:57 PM

snip, Snip. SNIP ! the"Rec.Radio.Shortwave" Group from the New...
 
y'all forgot about something,,,,
Time does not exist.
cuhulin


Bob Myers July 3rd 07 12:08 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 

" wrote in message
...
Better still, Vestigial Sideband!


You're both wrong. It is VIRTUAL SIDEBAND


Nope - VSB, as commonly used in broadcast television,
most definitely stands for "vestigial sideband" - a form of
AM in which the carrier and part of one sideband (in this
case, the lower sideband is the "vestigial" one) are retained,
along with one full sideband which carries the information
(in this case, the upper sideband, which carries the luminance
(Y) video information).

Bob M.



Telamon July 3rd 07 05:09 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
In article ,
Don Bowey wrote:

On 7/1/07 10:06 PM, in article
,
"Telamon" wrote:

In article ,
cledus wrote:

Snip

Would you please have the decency to snip rec.radio.shortwave and other
groups from the newsgroup header. Thanks.


Would you please come and ask nicely. I don't like how you put your order.


This is a stupid cross posted Troll thread so pretty please with sugar
on it snip the other news groups it does not originate from. Thank you
very, very much in advance.

--
Telamon
Ventura, California

RHF July 3rd 07 05:35 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Jul 2, 9:09 pm, Telamon
wrote:
In article ,
Don Bowey wrote:

On 7/1/07 10:06 PM, in article
,
"Telamon" wrote:


In article ,
cledus wrote:


Snip


Would you please have the decency to snip rec.radio.shortwave and other
groups from the newsgroup header. Thanks.


Would you please come and ask nicely. I don't like how you put your order.


This is a stupid cross posted Troll thread so pretty please with sugar
on it snip the other news groups it does not originate from. Thank you
very, very much in advance.

--
Telamon
Ventura, California


Bravo ! ;o} ~ RHF


dil July 3rd 07 09:08 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-lowcarrier frequency
 
Ron Baker, Pluralitas! wrote:
"John Smith I" wrote in message
...
Radium wrote:


snip

Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?
What would it look like on a spectrum analyzer?

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?
What would that look like on a spectrum analyzer?



dil July 3rd 07 09:09 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-lowcarrier frequency
 
Don Bowey wrote:
On 7/2/07 12:29 PM, in article , "John Smith"
wrote:

Don Bowey wrote:

You allude to knowing how the sidebands come into being yet you cannot
provide any clue that you really understand AM, and you continue to think
microphone current in a telephone loop is the same thing. You're as FOS as
they come.

I doubt you have fooled anyone


Please point out, above, or wherever you wish, where I said they were
fooled. You can't you POS liar.

Buddy, you speak about these people being "fooled", interesting term,
implying you consider them fools!


on this board with your attempts to look like you know more than you really

do.

I doubt that is true, they have seen through you in a heartbeat, most,
probably long before now ... I imagine they are just embarrassed for
you--having made such an A$$ of yourself ...

JS


While you continue to allude to skills and knowledge you don't have.

Do you often get away with this useless chest beating?



dil July 3rd 07 09:09 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-lowcarrier frequency
 
Don Bowey wrote:
On 7/2/07 2:12 PM, in article , "John Smith"
wrote:

Don Bowey wrote:

...
While you continue to allude to skills and knowledge you don't have.

Do you often get away with this useless chest beating?


You pathetically petty idiot ... I guess you call names because of your
age. Or, others have called you names and it has hurt your ego. Get an
education, grow-up and get off the drugs--you will be able to finally
respect yourself! :-(

Best hope in your therapy!

JS


But POS was intended for guys like you.

Ok! Again, you win. Please enjoy your blissful ignorance with my good
wishes.

Finis



John Fields July 3rd 07 03:51 PM

snip, Snip. SNIP ! the "Rec.Radio.Shortwave" Group from the Newsgroups {Distribution} Header - please, Please. PLEASE !
 
On Mon, 02 Jul 2007 14:42:49 -0700, RHF
wrote:

On Jul 2, 6:16 am, Don Bowey wrote:
On 7/1/07 10:06 PM, in article
,

"Telamon" wrote:
In article ,
cledus wrote:


Snip


Would you please have the decency to snip rec.radio.shortwave and other
groups from the newsgroup header. Thanks.


- Would you please come and ask nicely.
- I don't like how you put your order.

don bowey, Don Bowey. DON BOWEY !

Oh Please with Sugar and Spice and Everything Nice
snip, Snip. SNIP ! the "Rec.Radio.Shortwave" Group
from the Newsgroups {Distribution} Header when you
Post your Reply - It would be ever so decent of you
Kind and Wonder Sir. ;-)

thank you very much - most respectfully ~ RHF


---
Seems to me his posts are on topic for rrs, so why don't you just
learn how to use a filter?


--
JF

[email protected] July 3rd 07 04:13 PM

snip, Snip. SNIP ! the"Rec.Radio.Shortwave" Group from the New...
 
Stellar Evolution In The Electric Universe. www.rense.com

It's a Stellar thingy.
cuhulin


John Fields July 3rd 07 05:50 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"
wrote:


"John Smith I" wrote in message
...
Radium wrote:


snip

Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


---
LTSPICE circuit list:

Version 4
SHEET 1 1672 1576
WIRE 32 880 -256 880
WIRE 192 880 32 880
WIRE 528 912 336 912
WIRE 192 944 -112 944
WIRE -256 992 -256 880
WIRE -112 992 -112 944
WIRE -256 1120 -256 1072
WIRE -112 1120 -112 1072
WIRE -112 1120 -256 1120
WIRE -256 1168 -256 1120
FLAG -256 1168 0
FLAG 32 880 in
SYMBOL SPECIALFUNCTIONS\\MODULATE 192 880 R0
WINDOW 0 37 -55 Left 0
WINDOW 3 55 119 Center 0
SYMATTR InstName A1
SYMATTR Value mark=1e6 space=1e6
SYMBOL voltage -256 976 R0
WINDOW 123 0 0 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName V1
SYMATTR Value 10
SYMBOL voltage -112 976 R0
WINDOW 3 24 160 Left 0
WINDOW 123 24 132 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName V2
SYMATTR Value SINE(.5 .5 1e5)
SYMATTR Value2 AC 1
TEXT -96 1240 Left 0 !.tran 5e-5
TEXT -96 1208 Left 0 !.params w0=2*pi*1K Q=5

---

What would it look like on a spectrum analyzer?


---

| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz

---

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


---
LTSPICE circuit list:

Version 4
SHEET 1 880 680
WIRE 240 64 176 64
WIRE 432 64 320 64
WIRE 352 144 224 144
WIRE 352 160 352 144
WIRE 16 176 -208 176
WIRE 160 176 96 176
WIRE 176 176 176 64
WIRE 176 176 160 176
WIRE 320 176 176 176
WIRE 432 192 432 64
WIRE 432 192 384 192
WIRE 320 208 288 208
WIRE 288 256 288 208
WIRE 16 288 -48 288
WIRE 160 288 160 176
WIRE 160 288 96 288
WIRE 224 320 224 144
WIRE 352 320 352 224
WIRE -208 336 -208 176
WIRE -48 336 -48 288
WIRE -208 448 -208 416
WIRE -48 448 -48 416
WIRE -48 448 -208 448
WIRE 224 448 224 400
WIRE 224 448 -48 448
WIRE 352 448 352 400
WIRE 352 448 224 448
WIRE -208 496 -208 448
FLAG -208 496 0
FLAG 288 256 0
SYMBOL voltage -208 320 R0
WINDOW 0 -42 5 Left 0
WINDOW 3 24 104 Invisible 0
WINDOW 123 0 0 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName V1
SYMATTR Value SINE(0 .1 1.1e6)
SYMBOL res 112 160 R90
WINDOW 0 -33 56 VBottom 0
WINDOW 3 -31 61 VTop 0
SYMATTR InstName R1
SYMATTR Value 1000
SYMBOL voltage -48 320 R0
WINDOW 0 -39 4 Left 0
WINDOW 3 24 104 Invisible 0
WINDOW 123 0 0 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName V2
SYMATTR Value SINE(0 .1 .9e6)
SYMBOL res 112 272 R90
WINDOW 0 -38 56 VBottom 0
WINDOW 3 -31 59 VTop 0
SYMATTR InstName R2
SYMATTR Value 1000
SYMBOL res 336 48 R90
WINDOW 0 -36 59 VBottom 0
WINDOW 3 -36 61 VTop 0
SYMATTR InstName R3
SYMATTR Value 10k
SYMBOL voltage 352 416 R180
WINDOW 0 14 106 Left 0
WINDOW 3 24 104 Invisible 0
WINDOW 123 0 0 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName V3
SYMATTR Value 12
SYMBOL voltage 224 304 R0
WINDOW 0 -44 4 Left 0
WINDOW 3 24 104 Invisible 0
WINDOW 123 0 0 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName V4
SYMATTR Value 12
SYMBOL Opamps\\UniversalOpamp 352 192 R0
SYMATTR InstName U2
TEXT -252 520 Left 0 !.tran 3e-5


Tricky!!!

It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.

---

What would that look like on a spectrum analyzer?


---

| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz


--
JF

Keith Dysart[_2_] July 3rd 07 07:07 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Jul 3, 12:50 pm, John Fields wrote:
On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"

wrote:

"John Smith I" wrote in message
...
Radium wrote:


snip


Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


snip

What would it look like on a spectrum analyzer?


| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


snip

Tricky!!!

It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.

What would that look like on a spectrum analyzer?


| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz

--
JF


But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

....Keith


Keith Dysart[_2_] July 3rd 07 08:05 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"


wrote:


"John Smith I" wrote in message
...
Radium wrote:


snip


Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


snip

What would it look like on a spectrum analyzer?


| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz


Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


snip

Tricky!!!


It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.


What would that look like on a spectrum analyzer?


| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz


--
JF


But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-


Ooops. I misspoke. They are not quite the same.

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.

And the amplitudes of the the sum and difference
frequencies need to be one half of the amplitude of
the frequencies being multiplied.

....Keith


John Fields July 3rd 07 09:19 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Tue, 03 Jul 2007 12:05:52 -0700, Keith Dysart
wrote:

On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"


wrote:


"John Smith I" wrote in message
...
Radium wrote:


snip


Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


snip

What would it look like on a spectrum analyzer?


| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz


Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


snip

Tricky!!!


It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.


What would that look like on a spectrum analyzer?


| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz


--
JF


But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-


Ooops. I misspoke. They are not quite the same.


---
That's right. They can't possibly be because the first instance
_was_ multiplication and the second instance addition.
---

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.


---
That makes no sense since the frequencies are different and,
consequently, the phase difference between the signals will be
constantly changing.



--
JF

Keith Dysart[_2_] July 3rd 07 11:02 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Jul 3, 4:19 pm, John Fields wrote:
On Tue, 03 Jul 2007 12:05:52 -0700, Keith Dysart





wrote:
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:


On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"


wrote:


"John Smith I" wrote in message
...
Radium wrote:


snip


Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


snip


What would it look like on a spectrum analyzer?


| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz


Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


snip


Tricky!!!


It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.


What would that look like on a spectrum analyzer?


| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz


--
JF


But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.


And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.


...Keith-


Ooops. I misspoke. They are not quite the same.


---
That's right. They can't possibly be because the first instance
_was_ multiplication and the second instance addition.


Quite counter intuitive, I agree, but none-the-less true.
To convince myself, I once created an Excel spreadsheet
to demonstrate the fact.

It along with some other discussion and plots are available
here http://keith.dysart.googlepages.com/radio5

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.


---
That makes no sense since the frequencies are different and,
consequently, the phase difference between the signals will be
constantly changing.


To get exactly the same results, if, at time t0, the phases
for the signals being multiplied together are 0, then at
time t0, the initial phases for the signals being added
must be 90 and -90.

....Keith


John Fields July 4th 07 12:31 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Tue, 03 Jul 2007 15:02:59 -0700, Keith Dysart
wrote:

On Jul 3, 4:19 pm, John Fields wrote:
On Tue, 03 Jul 2007 12:05:52 -0700, Keith Dysart





wrote:
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:


On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"


wrote:


"John Smith I" wrote in message
...
Radium wrote:


snip


Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


snip


What would it look like on a spectrum analyzer?


| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz


Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


snip


Tricky!!!


It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.


What would that look like on a spectrum analyzer?


| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz


--
JF


But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.


And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.


...Keith-


Ooops. I misspoke. They are not quite the same.


---
That's right. They can't possibly be because the first instance
_was_ multiplication and the second instance addition.


Quite counter intuitive, I agree, but none-the-less true.
To convince myself, I once created an Excel spreadsheet
to demonstrate the fact.

It along with some other discussion and plots are available
here http://keith.dysart.googlepages.com/radio5

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.


---
That makes no sense since the frequencies are different and,
consequently, the phase difference between the signals will be
constantly changing.


To get exactly the same results, if, at time t0, the phases
for the signals being multiplied together are 0, then at
time t0, the initial phases for the signals being added
must be 90 and -90.


---
OK, but that's just for the single slice in time where the circuit
reactances for both frequencies are complex conjugates, and cancel,
leaving only pure resistance for both signals to drive at that
instant.


--
JF

matt weber[_2_] July 4th 07 05:15 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Mon, 2 Jul 2007 17:08:43 -0600, "Bob Myers"
wrote:


" wrote in message
...
Better still, Vestigial Sideband!


You're both wrong. It is VIRTUAL SIDEBAND


Nope - VSB, as commonly used in broadcast television,
most definitely stands for "vestigial sideband" - a form of
AM in which the carrier and part of one sideband (in this
case, the lower sideband is the "vestigial" one) are retained,
along with one full sideband which carries the information
(in this case, the upper sideband, which carries the luminance
(Y) video information).

Bob M.

It is definitely vestigial side band. There is a bandpass filter in
transmitter to get rid of much of it when the signal is generated, and
generally a tuned coaxial stub on the antenna to get rid most of the
rest of it.

Effectively NTSC television is single sideband with carrrier (while
SSB is technicall SSBSC, Single Side Band, Supressed Carrier, which is
considerably more difficult to generate and detect).

isw July 4th 07 06:42 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
In article ,
John Fields wrote:

On Tue, 03 Jul 2007 12:05:52 -0700, Keith Dysart
wrote:

On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"

wrote:

"John Smith I" wrote in message
...
Radium wrote:

snip

Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?

snip

What would it look like on a spectrum analyzer?

| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?

snip

Tricky!!!

It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.

What would that look like on a spectrum analyzer?

| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz

--
JF

But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-


Ooops. I misspoke. They are not quite the same.


---
That's right. They can't possibly be because the first instance
_was_ multiplication and the second instance addition.
---

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.


---
That makes no sense since the frequencies are different and,
consequently, the phase difference between the signals will be
constantly changing.


After you get done talking about modulation and sidebands, somebody
might want to take a stab at explaining why, if you tune a receiver to
the second harmonic (or any other harmonic) of a modulated carrier (AM
or FM; makes no difference), the audio comes out sounding exactly as it
does if you tune to the fundamental? That is, while the second harmonic
of the carrier is twice the frequency of the fundamental, the sidebands
of the second harmonic are *not* located at twice the frequencies of the
sidebands of the fundamental, but rather precisely as far from the
second harmonic of the carrier as they are from the fundamental.

Isaac

Brenda Ann July 4th 07 07:08 AM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 

"isw" wrote in message
...

After you get done talking about modulation and sidebands, somebody
might want to take a stab at explaining why, if you tune a receiver to
the second harmonic (or any other harmonic) of a modulated carrier (AM
or FM; makes no difference), the audio comes out sounding exactly as it
does if you tune to the fundamental? That is, while the second harmonic
of the carrier is twice the frequency of the fundamental, the sidebands
of the second harmonic are *not* located at twice the frequencies of the
sidebands of the fundamental, but rather precisely as far from the
second harmonic of the carrier as they are from the fundamental.

Isaac


I can't speak to second harmonics of a received signal, though I can't think
why they would be any different than an internal signal.. but:

When you frequency multiply and FM signal in a transmitter (As used to be
done on most FM transmitters in the days before PLL came along), you not
only multiplied the extant frequency, but the modulation swing as well. i.e.
if you start with a 1 MHz FM modualated crystal oscillator, and manage to
get 500 Hz swing from the crystal (using this only as a simple example),
then if you double that signal's carrier frequency, you also double the FM
swing to 1 KHz. Tripling it from there would give you a 6 MHz carrier with a
3 KHz swing, and so on.




Ron Baker, Pluralitas![_2_] July 4th 07 03:52 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 

"Keith Dysart" wrote in message
ps.com...
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"


wrote:


"John Smith I" wrote in message
...
Radium wrote:


snip


Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?


snip

What would it look like on a spectrum analyzer?


| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz


Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?


snip

Tricky!!!


It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.


What would that look like on a spectrum analyzer?


| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz


--
JF


But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-


Ooops. I misspoke. They are not quite the same.

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.

And the amplitudes of the the sum and difference
frequencies need to be one half of the amplitude of
the frequencies being multiplied.

...Keith


You win. :)

When I conceived the problem I was thinking
cosines actually. In which case there are no
phase shifts to worry about in the result.

I also forgot the half amplitude factor.

While it might not be obvious, the two cases I
described are basically identical. And this
situation occurs in real life, i.e. in radio signals,
oceanography, and guitar tuning.

It follows from what is taught in high school
geometry.

cos(a) * cos(b) = 0.5 * (cos[a+b] + cos[a-b])

Basically: multiplying two sine waves is
the same as adding the (half amplitude)
sum and difference frequencies.

(For sines it is
sin(a) * sin(b) = 0.5 * (cos[a-b]-cos[a+b])
= 0.5 * (sin[a-b+90degrees] - sin[a+b+90degrees])
= 0.5 * (sin[a-b+90degrees] + sin[a+b-90degrees])
)

--
rb










Don Bowey July 4th 07 05:02 PM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 
On 7/4/07 7:52 AM, in article , "Ron
Baker, Pluralitas!" wrote:


"Keith Dysart" wrote in message
ps.com...
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"

wrote:

"John Smith I" wrote in message
...
Radium wrote:

snip

Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?

snip

What would it look like on a spectrum analyzer?

| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?

snip

Tricky!!!

It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.

What would that look like on a spectrum analyzer?

| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz

--
JF

But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-


Ooops. I misspoke. They are not quite the same.

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.

And the amplitudes of the the sum and difference
frequencies need to be one half of the amplitude of
the frequencies being multiplied.

...Keith


You win. :)

When I conceived the problem I was thinking
cosines actually. In which case there are no
phase shifts to worry about in the result.

I also forgot the half amplitude factor.

While it might not be obvious, the two cases I
described are basically identical. And this
situation occurs in real life, i.e. in radio signals,
oceanography, and guitar tuning.

It follows from what is taught in high school
geometry.

cos(a) * cos(b) = 0.5 * (cos[a+b] + cos[a-b])

Basically: multiplying two sine waves is
the same as adding the (half amplitude)
sum and difference frequencies.


No, they aren't the same at all, they only appear to be the same before
they are examined. The two sidebands will not have the correct phase
relationship.

One could, temporarily, mistake the added combination for a full carrier
with independent sidebands, however.




(For sines it is
sin(a) * sin(b) = 0.5 * (cos[a-b]-cos[a+b])
= 0.5 * (sin[a-b+90degrees] - sin[a+b+90degrees])
= 0.5 * (sin[a-b+90degrees] + sin[a+b-90degrees])
)

--
rb



isw July 4th 07 05:09 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
In article ,
Ian Jackson wrote:

In message , Brenda Ann
writes

"isw" wrote in message
...

After you get done talking about modulation and sidebands, somebody
might want to take a stab at explaining why, if you tune a receiver to
the second harmonic (or any other harmonic) of a modulated carrier (AM
or FM; makes no difference), the audio comes out sounding exactly as it
does if you tune to the fundamental? That is, while the second harmonic
of the carrier is twice the frequency of the fundamental, the sidebands
of the second harmonic are *not* located at twice the frequencies of the
sidebands of the fundamental, but rather precisely as far from the
second harmonic of the carrier as they are from the fundamental.

Isaac


I can't speak to second harmonics of a received signal, though I can't think
why they would be any different than an internal signal.. but:

When you frequency multiply and FM signal in a transmitter (As used to be
done on most FM transmitters in the days before PLL came along), you not
only multiplied the extant frequency, but the modulation swing as well. i.e.
if you start with a 1 MHz FM modualated crystal oscillator, and manage to
get 500 Hz swing from the crystal (using this only as a simple example),
then if you double that signal's carrier frequency, you also double the FM
swing to 1 KHz. Tripling it from there would give you a 6 MHz carrier with a
3 KHz swing, and so on.


For multiplying FM, yes, of course, this is exactly what happens. And as
it happens for FM, it must also happen for AM.


If you start with, say, a 1 MHz carrier AM modulated at 1 KHz, tuning to
the second harmonic gives you a 2 MHz carrier AM modulated at 1 KHz; not
2 KHz as your "must also happen for AM" would suggest.

Isaac

isw July 4th 07 05:11 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
In article ,
"Ron Baker, Pluralitas!" wrote:

"Keith Dysart" wrote in message
ps.com...
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"

wrote:

"John Smith I" wrote in message
...
Radium wrote:

snip

Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?

snip

What would it look like on a spectrum analyzer?

| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?

snip

Tricky!!!

It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.

What would that look like on a spectrum analyzer?

| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz

--
JF

But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-


Ooops. I misspoke. They are not quite the same.

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.

And the amplitudes of the the sum and difference
frequencies need to be one half of the amplitude of
the frequencies being multiplied.

...Keith


You win. :)

When I conceived the problem I was thinking
cosines actually. In which case there are no
phase shifts to worry about in the result.

I also forgot the half amplitude factor.

While it might not be obvious, the two cases I
described are basically identical. And this
situation occurs in real life, i.e. in radio signals,
oceanography, and guitar tuning.


The beat you hear during guitar tuning is not modulation; there is no
non-linear process involved (i.e. no multiplication).

Isaac

Dave Platt July 4th 07 05:32 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
In article ,
Ian Jackson wrote:

(b) In the second scenario, the 2nd harmonic is effectively present
BEFORE modulation, so it gets modulated along with the fundamental. In
this case, the lower frequencies of sidebands of the 2nd harmonic will
be 'normal', and the signal will sound normal.


I believe that will be the likely scenario for any AM transmitter
which uses plate modulation or a similar "high level modulation"
system. If the RF finals are running in a single-ended configuration
(rather than push-pull) even the unmodulated carrier is likely to have
a significant amount of second-harmonic distortion in it... and I'd
think that this would tend to grow worse as the audio peaks push the
finals up towards their maximum output power.

--
Dave Platt AE6EO
Friends of Jade Warrior home page: http://www.radagast.org/jade-warrior
I do _not_ wish to receive unsolicited commercial email, and I will
boycott any company which has the gall to send me such ads!

Ron Baker, Pluralitas![_2_] July 4th 07 05:57 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 

"isw" wrote in message
...

snip


After you get done talking about modulation and sidebands, somebody
might want to take a stab at explaining why, if you tune a receiver to
the second harmonic (or any other harmonic) of a modulated carrier (AM
or FM; makes no difference), the audio comes out sounding exactly as it
does if you tune to the fundamental? That is, while the second harmonic
of the carrier is twice the frequency of the fundamental, the sidebands
of the second harmonic are *not* located at twice the frequencies of the
sidebands of the fundamental, but rather precisely as far from the
second harmonic of the carrier as they are from the fundamental.

Isaac


Whoa. I thought you were smoking something but
my curiosity is piqued.
I tried shortwave stations and heard no harmonics.
But that could be blamed on propagation.
There is an AM station here at 1.21 MHz that is s9+20dB.
Tuned to 2.42 MHz. Nothing. Generally the lowest
harmonics should be strongest. Then I remembered
that many types of non-linearity favor odd harmonics.
Tuned to 3.63 MHz. Holy harmonics, batman.
There it was and the modulation was not multiplied!
Voices sounded normal pitch. When music was
played the pitch was the same on the original and
the harmonic.

One clue is that the effect comes and goes rather
abruptly. It seems to switch in and out rather
than fade in an out. Maybe the coming and going
is from switching the audio material source?

This is strange. If a signal is multiplied then the sidebands
should be multiplied too.
Maybe the carrier generator is generating a
harmonic and the harmonic is also being modulated
with the normal audio in the modulator.
But then that signal would have to make it through
the power amp and the antenna. Possible, but
why would it come and go?
Strange.

--
rb



Ron Baker, Pluralitas![_2_] July 4th 07 06:16 PM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 

"Don Bowey" wrote in message
...
On 7/4/07 7:52 AM, in article ,
"Ron
Baker, Pluralitas!" wrote:


snip


cos(a) * cos(b) = 0.5 * (cos[a+b] + cos[a-b])

Basically: multiplying two sine waves is
the same as adding the (half amplitude)
sum and difference frequencies.


No, they aren't the same at all, they only appear to be the same before
they are examined. The two sidebands will not have the correct phase
relationship.


What do you mean? What is the "correct"
relationship?


One could, temporarily, mistake the added combination for a full carrier
with independent sidebands, however.




(For sines it is
sin(a) * sin(b) = 0.5 * (cos[a-b]-cos[a+b])
= 0.5 * (sin[a-b+90degrees] - sin[a+b+90degrees])
= 0.5 * (sin[a-b+90degrees] + sin[a+b-90degrees])
)

--
rb





[email protected] July 4th 07 06:21 PM

AM electromagnetic waves: 20 KHz modulation frequency on anast...
 
All of that crap might or might not count anyway.Us humans are NOT going
to exist for a finite number of years anyway.There is NO such thingy as
time,,, your fancy numbers are meanlingeless.They do NOT amount to a
hill of beans.You are an Idiot!
cuhulin


[email protected] July 4th 07 06:38 PM

AM electromagnetic waves: 20 KHz modulation frequency onanastr...
 
All of that good s..t is out of the water.There is NO such thingy
asshole ass as time.y'all eggheads lost it ever since y'all was born!

Metinks me needs to slap a couple of new Ray O Vac alkaline new
batteries in me cute little Philips Magnvox wireless WebTV keyboard
thangy now.y'all don't know ****! about batteries!
cuhulin


Ron Baker, Pluralitas![_2_] July 4th 07 06:39 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 

"isw" wrote in message
...
In article ,
"Ron Baker, Pluralitas!" wrote:

"Keith Dysart" wrote in message
ps.com...
On Jul 3, 2:07 pm, Keith Dysart wrote:
On Jul 3, 12:50 pm, John Fields wrote:





On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!"

wrote:

"John Smith I" wrote in message
...
Radium wrote:

snip

Suppose you have a 1 MHz sine wave whose amplitude
is multiplied by a 0.1 MHz sine wave.
What would it look like on an oscilloscope?

snip

What would it look like on a spectrum analyzer?

| |
| | | |
--------+--------------------+-------+------+----
100kHz 0.9MHz 1MHz 1.1MHz

Then suppose you have a 1.1 MHz sine wave added
to a 0.9 MHz sine wave.
What would that look like on an oscilloscope?

snip

Tricky!!!

It looks like AM but it isn't, it's just the phases sliding past
each other slowly and algebraically adding which creates the
illusion.

What would that look like on a spectrum analyzer?

| |
| |
-----------------------------+--------------+----
0.9MHz 1.1MHz

--
JF

But if you remove the half volt bias you put on the
100 kHz signal in the multiplier version, the results
look exactly like the summed version, so I suggest
that results are the same when a 4 quadrant multiplier
is used.

And since the original request was for a "1 MHz sine
wave whose amplitude is multiplied by a 0.1 MHz sine
wave" I think a 4 quadrant multiplier is in order.

...Keith-

Ooops. I misspoke. They are not quite the same.

The spectrum is the same, but if you want to get exactly
the same result, the lower frequency needs a 90 degree
offset and the upper frequency needs a -90 degree offset.

And the amplitudes of the the sum and difference
frequencies need to be one half of the amplitude of
the frequencies being multiplied.

...Keith


You win. :)

When I conceived the problem I was thinking
cosines actually. In which case there are no
phase shifts to worry about in the result.

I also forgot the half amplitude factor.

While it might not be obvious, the two cases I
described are basically identical. And this
situation occurs in real life, i.e. in radio signals,
oceanography, and guitar tuning.


The beat you hear during guitar tuning is not modulation; there is no
non-linear process involved (i.e. no multiplication).

Isaac


In short, the human auditory system is not linear.
It has a finite resolution bandwidth. It can't resolve
two tones separted by a few Hertz as two separate tones.
(But if they are separted by 100 Hz they can easily
be separated without hearing a beat.)

The same affect can be seen on a spectrum analyzer.
Give it two frequencies separated by 1 Hz. Set the
resolution bandwidth to 10 Hz. You'll see the peak
rise and fall at 1 Hz.



[email protected] July 4th 07 06:46 PM

AM electromagnetic waves: 20 KHz modulation frequency onanastr...
 
Dahhhhhhh,,,, BOOL SHEET! Full of Crap.
cuhulin


John Fields July 4th 07 09:27 PM

AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
 
On Wed, 04 Jul 2007 09:11:58 -0700, isw wrote:

In article ,
"Ron Baker, Pluralitas!" wrote:


You win. :)

When I conceived the problem I was thinking
cosines actually. In which case there are no
phase shifts to worry about in the result.

I also forgot the half amplitude factor.

While it might not be obvious, the two cases I
described are basically identical. And this
situation occurs in real life, i.e. in radio signals,
oceanography, and guitar tuning.


The beat you hear during guitar tuning is not modulation; there is no
non-linear process involved (i.e. no multiplication).


---
That's not true.

The human ear has a logarithmic amplitude response and the beat note
(the difference frequency) is generated there. The sum frequency is
too, but when unison is achieved it'll be at precisely twice the
frequency of either fundamental and won't be noticed.


--
JF

Don Bowey July 4th 07 11:19 PM

AM electromagnetic waves: 20 KHz modulation frequency onanastronomically-low carrier frequency
 
On 7/4/07 10:16 AM, in article ,
"Ron Baker, Pluralitas!" wrote:


"Don Bowey" wrote in message
...
On 7/4/07 7:52 AM, in article ,
"Ron
Baker, Pluralitas!" wrote:


snip


cos(a) * cos(b) = 0.5 * (cos[a+b] + cos[a-b])

Basically: multiplying two sine waves is
the same as adding the (half amplitude)
sum and difference frequencies.


No, they aren't the same at all, they only appear to be the same before
they are examined. The two sidebands will not have the correct phase
relationship.


What do you mean? What is the "correct"
relationship?


One could, temporarily, mistake the added combination for a full carrier
with independent sidebands, however.




(For sines it is
sin(a) * sin(b) = 0.5 * (cos[a-b]-cos[a+b])
= 0.5 * (sin[a-b+90degrees] - sin[a+b+90degrees])
= 0.5 * (sin[a-b+90degrees] + sin[a+b-90degrees])
)

--
rb





When AM is correctly accomplished (a single voiceband signal is modulated
onto a carrier via a non-linear process), at an envelope detector the two
sidebands will be additive. But if you independe ntly place a carrier at
frequency ( c ), another carrier at ( c-1 khz) and another carrier at (c+ 1
kHz), the composite can look like an AM signal, but it is not, and only by
the most extreme luck will the sidebands be additive at the detector. They
would probably cycle between additive and subtractive since they have no
real relationship and were not the result of amplitude modulation.


craigm July 5th 07 12:53 AM

AM electromagnetic waves: 20 KHz modulation frequency on anastronomically-low carrier frequency
 



When AM is correctly accomplished (a single voiceband signal is modulated
onto a carrier via a non-linear process), at an envelope detector the two
sidebands will be additive. But if you independe ntly place a carrier at
frequency ( c ), another carrier at ( c-1 khz) and another carrier at (c+
1 kHz), the composite can look like an AM signal, but it is not, and only
by
the most extreme luck will the sidebands be additive at the detector.
They would probably cycle between additive and subtractive since they have
no real relationship and were not the result of amplitude modulation.


A peak detector is best understood in the time domain, try to create a
simple description in the frequency domain and you can only cause confusion
and incorrect conclusions.





All times are GMT +1. The time now is 04:01 PM.

Powered by vBulletin® Copyright ©2000 - 2025, Jelsoft Enterprises Ltd.
RadioBanter.com