GianniComments in BOLD 

    On Monday, October 7, 2024 at 02:43:53 AM CDT, Ing. Giovanni Becattini 
<giovanni.becatt...@icloud.com> wrote:   

 Hi Jim and thanks for your patience, but I still don’t understand. 
The generator sees 50 // (100+125), 50 // 225 =  52.22 ohm  No, this should be 
40.9 ohms not 52.22 ohms! 
R in parallel = 1/ (1/50 + 1/ 225)  so 1/ (1/50 + 1/225) = 40.9 ohms  or if you 
prefer


product over sum = (50 X 225) / (50 + 225) = 11,250 / 275 = 40.9 ohms


The result of two resistors combined in parallel will always be a lower value 
then the lowest of the two combined resistors.
 Going a step further, 40.9 ohms in parallel with the Signal Generator 
impedance of 50 ohms results in an impedance of 22.5 ohms so the SG now sees 
about half of the expected impedance.  You can think of the SG as being a 
current source feeding a 50 ohm resistor.  If the current source now sees half 
the expected impedance, the voltage output of the SG will now be half of the 
set voltage.  

Now applying the voltage divider rule to the series 100 ohm and shunt 125 ohm 
resistors, the voltage across the 125 ohm resistor will be the SG voltage X 
(125 / 225) = SG voltage X 0.55  We already know that the signal generator 
output is half of what the SG attenuator says so 0.5 X 0.55 = 0.27 so the 
output of the DA-121 is now approximately one fourth of the SG dial setting.
I checked with the VOM using a 125 ohm terminator instead of the R-390A and 
read 52.4 ohm.  You must have a wiring error!  The DA-121 should read 
approximately 40.9 ohms at the SG terminals when the DA-121 output is 
terminated with 125 ohms.  This is what was calculated above.  If you now put a 
50 ohm resistor across the DA-121 input, the resistance of the input to the 
DA-121 should measure approximately 25 ohms.
To be sure that I was not tricked by the cables, I made the same test at 100 
kHz with 10 mV and that below is what I read, again using the 125 ohm 
terminator on the oscilloscope side.
Probably I am doing something wrong, but what?
Your experimental data should closely agree with the math, it does not.  There 
is at least a simple wiring error or the BNC to TWINAX adapter is not wired 
properly.  As I mentioned in the email below, one of the TWINAX pins should be 
directly connect to the BNC center conductor, the other TWINAX pin should be 
directly connect to the shell of the BNC connector.  There should not be any 
measurable resistance, ideally a short circuit for both ohmmeter readings.  Can 
you verify this?     
Thanks again
Gianni
Regards,
Jim 




Il giorno 6 ott 2024, alle ore 17:05, Jim Whartenby <old_ra...@aol.com> ha 
scritto:
Gianni
 

There is something wrong with your measurements.  They do not agree with the 
mathematical analysis.
 




Reducing the resistances of the DA-121 with the input resistance of the R-390 
to a single resistance results in the total resistance seen by the SG of 25 
ohms.  So the generator output should fall from 10 mV to 5 mV which you confirm 
although there is an error of some 14% ((5.7 mV - 5 mV) / 5 mV).  But as you 
say, the resistors are not perfect.    
 

What is apparently the problem is that your adapter from BNC to TWINAX does not 
measure correctly.  One TWINAX pin should connect to the BNC center pin and the 
other TWINAX pin should connect to ground.  If this does not happen, the second 
voltage divider, the 100 ohm in series with the 125 ohm is not connected to 
ground.  This error would give you the voltage that you measure.  
 

There is agreement between us that when the 68 ohm resistor is connected to the 
SG that the output will fall from 10 mV to about 5 mV.  Putting the two 
remaining resistors into the circuit results in a series 100 ohm resistor and a 
parallel 125 ohm resistor.  Applying voltage divider analysis to this we have 
(5 mV X 125 ohms) / 225 ohms) which equals 2.28 mV.  2.28 mV divided by 10 mV 
gives a ratio of 0.23 which is in agreement with the DA-121 reducing the SG 
output from 10 mV to 2.5 mV or 4:1.
 

The above analysis agrees completely with figure 3, the analysis of a T-pad, 
which was done in the 1950s.  It changes the SG impedance of 50 ohms to the 
receiver impedance of 72 ohms with a voltage loss of 4:1 which I again enclose 
in this email.
 

Regards,
 
Jim
Logic: Method used to arrive at the wrong conclusion, with confidence.  Murphy 

    On Sunday, October 6, 2024 at 01:46:02 AM CDT, Ing. Giovanni Becattini 
<giovanni.becatt...@icloud.com> wrote:   

 Hi Jim,Setting rge SG to 10 mV I have1) with no terminator oscilloscope side: 
20 mV2) with 50-ohm terminator: 10 mV3) with DA-121 no terminator: 11.4 mV4) 
with DA-121 and 125 ohm terminator (which simulates the receiver): 5.7 mV 

exactly as I would expect. Now I am going to pickup another generator to see if 
it behaves like the 8640. 
In the afternoon I tell you the result of the test.
YoursGianni

Il giorno 6 ott 2024, alle ore 00:00, Jim Whartenby <old_ra...@aol.com> ha 
scritto:

Giovanni

If you measure twice the voltage with no load on the SG then the actual voltage 
when the SG is properly loaded with a 50 ohm termination, what does the meter 
read when you put a 25 ohm resistor on the SG output?  It should now read a 
third of the unterminated SG voltage.




Enclosed is page 51 of the Measurements catalog.  Figure 3 shows a T pad to 
match 50 ohms to 72.  The resistor values are chosen to reduce the SG output 
voltage by half at the input to the T pad and to 1/4 at the output of the T pad 
when the T pad is terminated with a 72 ohm resistor.  




The same is done with the DA-121 but the impedance transformation is now from 
50 to 125 ohms.  Can you measure the voltages at the output of the SG with an 
oscilloscope?  It should be 2X of the SG meter reading with no load on the SG, 
1X with a 50 ohm load and 1/4X of the SG meter at the output of the DA-121 when 
the DA-121 is terminated with a 125 ohm non inductive resistor in place of the 
R-390A.  If you do not terminate the DA-121 with a 125 ohm load then what you 
report as 0.56 of the SG meter reading would be correct.

Regards,

Jim


Logic: Method used to arrive at the wrong conclusion, with confidence.  Murphy 

    On Saturday, October 5, 2024 at 03:14:58 PM CDT, Ing. Giovanni Becattini 
<giovanni.becatt...@icloud.com> wrote:   

 Thanks for replying, I am very intrigued by this theme.
See below please and tell me your opinion.


Il giorno 5 ott 2024, alle ore 20:33, Jim Whartenby via R-390 
<r-390@mailman.qth.net> ha scritto:
Giovanni

I need some clarifications.  

1) You said: "It attenuates the signal voltage of 0.56 V, i.e. 5 dB."So the 
Signal Generator (SG) meter indicates that the output voltage is 0.56 volts or 
are you are measuring 0.56 volts at the output of the DA-121/U when the SG 
meter reads 1 volt?  If so, how are you measuring this voltage?  Is it peak or 
peak to peak or RMS?  The assumption here is that it is RMS.
I wrote wrongly; I meant that the DA-121 is a voltage divider that, considered 
125 ohm the input impedance of the receiver, multiplies the siggen voltage x 
0.56.

2) The DA-121/U contains two resistors, a 68 ohm resistor in parallel with the 
signal generator output and a series 100 ohm resistor to the center pin of the 
BNC output connector.  You are then adapting the BNC output connector of the 
DA-121/U to TWINAX and then connecting it to the balanced RF input connector on 
the back of the R-390A, correct?  Yes

3) What are the two resistor values in the DA-121 when you measure with your 
DMM?  How close are they to what is expected?  I am guessing that these two 
resistors are carbon composition and are a bit off in value.  It is interesting 
to note that carbon composition resistors will change value when soldered into 
a circuit. No, it is not the original, I built it with new components.

4) When you measure the BNC to TWINAX adapter, one of the TWINAX pins goes to 
the center pin of the BNC connector and the other TWINAX pin goes to ground?  
Yes Both read close to zero ohms? each other yes, but they are open to ground.

5) How old are the coax cables used in your measurements?  In other words, how 
lossy are they?  Coax ages so the cable losses will increase and it will have 
an affect on your measurements.  The coax is 50 ohms? Yes, they are normal 
BNC/BNC, 1 meter long, with 50 ohm cable, bought new ready to be used.

The way I see it, 50 ohms in parallel with 68 ohms = 29 ohms.  29 ohms in 
series with 100 ohms = 129 ohms which is approximately your impedance 
transformation needed from 50 to 125 ohms.  Because of the 68 ohms is in 
parallel with the SG output, the voltage at this point should be half of what 
the SG meter indicates. I am not sure it is so. The siggen indicated voltage is 
in Vrms and it is true when you have a 50 ohm load. If you don’t have the 50 
ohm load, the voltage is double. I am sure of this, I tested more times with 
different generators and oscilloscopes.


The second voltage divider of 100 and 125 ohms is again reducing the SG output 
voltage by another half so the actual voltage applied to the receiver is 0.5 X 
0.5 or 0.25 times the SG meter reading.  In other words, actual voltage applied 
to the R-390A receiver is 1/4 of what the SG meter indicates or 12 dB down. No, 
I am sure of 0.56. In the doubt, I built a 125 ohm terminator and checked with 
the oscilloscope. Starting with 10 mVrms I read 5.7 mVrms because the resistors 
are not perfect. And thus reduces the voltage by 5 dB. Do you agree?

So what this means to the original discussion is that the 6.5 microvolt limit 
in the R-390A specification is actually 1.6 microvolts that is applied to the 
R-390A balance RF input for a 10 dB S+N/N reading when all of the losses in the 
test setup are accounted for.  So the spec has simplified the measurement and 
eliminated all of the above math.  Again, spec is spec and those who wrote it 
knew what they were doing.

This back of the envelope analysis does not agree with what you have measured.  
I am interested in what you find when you have a chance to take a closer look.

Jim

Logic: Method used to arrive at the wrong conclusion, with confidence.  Murphy 

    On Saturday, October 5, 2024 at 01:48:09 AM CDT, Ing. Giovanni Becattini 
<giovanni.becatt...@icloud.com> wrote:   

 Hi Jim and thanks for your reply. I read the very interesting document you 
pointed out. I did not understand everything, but for my practical interest it 
confirms that the impedance matching is mandatory.
I am using an HP8640B as a signal generator. Let’s suppose it is ideally 
calibrated. I use also the DA-121/U impedance adapter which shows 50 ohm to the 
siggen and 125 to the receiver. It is the fourth type of pad of figure 4 of the 
article.
My practical question is how to take in account the DA-121?
It attenuates the signal voltage of 0.56 V, i.e. 5 dB. So,    
   - in volts: the voltage value for the 10 dB S/N I read on the generator’s 
scale should be multiplied by 0.56.
   - in dBm:  the dBm value for the 10 dB S/N I read on the generator’s scale 
should be reduced by 5 dBm.

Is this correct?
Thanks



  



  
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