# Converting dBFS to dBm with an SDR receiver based on the LTC2145-14 clocked at 125 Mhz

Hello,

I am relatively inexperienced with ADCs so my apologies if this question is a bit naive but I could not find any clear answer here.

I am using an SDR receiver build on the LTC2145-14  clocked at 125 Mhz  in order to measure power of weak sinusoidal signals. The analogue frontend of the ADC is quite simple, it is the one in the datasheet of the device, a 50 ohm resistor is connected to the high impedance differential A+ and A- analogue inputs and a wideband 1:1 balun connects this 50 ohm resistor to the input sma port of the receiver. No analogue op amp in the way, just a very loss loss anti-aliasing filter  with a 52 Mhz cut off frequency to  prevent reception of signals above the Nyquist frequency of 62.5 Mhz. With this set-up the input impedance of the receiver is a nice and fla 50 ohm from 100khz to about 50 Mhz.

To measure power, I simply convert the signal received in dBFS into actual true world dBm.  Using an external rf power meter, I have determined empirically that the relationship between "dBFS" and "dBM" in my set-up is -10 dB . It does not change  much across the whole dynamic range of the SDR receiver and across its frequency range either. For instance a signal generator delivering  -40 dBm into my 50 ohms input impedance rf power meter will correspond to a signal reading of -50 dBFS when it is connected to my 50 ohm input impedance SDR receiver.

The trouble is that I am unable to explain this result by looking at the datasheet of the LTC2145-14!!   The SENSE pin 63 of the LTC2125-14 chip is set to "0V" which corresponds to 1v peak to peak full scale, so +4 dBm into a 50 ohm load. So if 0 dBFS is corresponding to +4 dBM then according to the same logic,  a signal of -40dBm should correspond to a signal of -44 dBFS but as explained above, I measure -50 dBFS and not -44 dBFS !!! There is a 6dB difference that I can not explain in anyway!

I concluded it is the SDR software that is responsible for this difference but I am not too sure really.  Can someone better explain me where this 6dB difference comes from ? Is it the SDR software that I use that explains it ?  Is the reasoning I am making erroneous and if yes, can someone explain me why ?

Thanks
Regards
Peter

correcting spelling mistake in the title
[edited by: on7yi at 2:49 PM (GMT 0) on 4 Jun 2019]
Parents
• Hi Peter,

I'm not familiar with the LTC2125 and the SDR software at all, but I thought I'd bring up a couple of semi-random points I use when doing a similar exercise with a different family of ADCs. A lot of this will be common sense but we might as well cover these for completeness and as a sanity check.

• dBm is a unit of power. In calculating power from voltage and resistance, we need to be sure to use the rms value of the voltage. dBFS is also a relative power measurement, but it is with respect to the full-scale voltage of the ADC. The voltage range of ADCs would be a value that is compared to the peak-to-peak value of an AC signal. So, when converting from dBm to dBFS you need to keep the conversion of rms to peak-to-peak in mind.
• Calculation of voltage from power requires a known resistance value. Make sure in your different scenarios that you are representing the load resistances properly. If the input impedance of the ADC is high, the load resistance will be determined by what is on the board.
• There will be an insertion loss associated with your balun. Might this account for some of the discrepancy?
• How does your power meter work? Does it introduce any additional load that might produce unexpected results?

You are probably beyond this but I thought I'd mention some of these generic things in case they help.

I hope your project goes well.

Doug

• Hi Doug,

Yes I have factored in all the points except maybe your last bullet point regarding the ADC adjustment gain. As I am not familiar with ADCs I am not sure if I factored this correctly or not. As you  can read below, it may (?) be the explanation

As I explained it, the ADC2145-14 and I think many  others ADCs of Analogue Devices have a sense PIN that allow to select different "input range of the ADC". When this sense pin is set to ground the input range is 1vpp corresponding to 4 dBm under 50 ohm, when it is set to VCC it is 2vPP corresponding to 10 dBm  under 50 ohm and that is precisely a 6dB difference....

My expectation (but I am not sure) is that if I select the 1vPP range, the noise floor of the ADC that I measure in a 500 hz bandwidth should also raise e by 6dB ?, so raise from -123 dBFS (500 Hz bandwidth) to -117dBFS (500 Hz bandwidth) but it does not happen!!!  the noise floor stays the same after I select 1Vpp instead of 2Vpp..... It maybe the problem in fact ??? Maybe the device or the PCB is somehow damaged and I am actually unable to select the 1Vpp to range for some reasons.

Regards

Peter

• There is just one mystery that remains unsolved.

For both boards,independently of the way I set  of the sense pin,  the converting factor  between dBFS to dBm is 6dB too low

For instance the board with the 1:1 balun when the sense pin is set to ground (1vPP so 4 dBm into 50 ohms), I measure a converting factor of -10, so for instance  -20dBm  at the input of the ADC  corresponds to a reading of -30 dBFS with my receiver software. This makes  full scale (so  0 dBFS reading my receiver)  coresspond to +10 dBm . The problem is that 1 V peak to peak into 50 ohm is 4 dBm and not 10 dBm so either the receiver software is playing some tricks and a reading of 0dBFS on my receiver does not correspond to full scale or 4 dBm sor there is a  1/2 resistive divider at the rf input of the chip that is not documented  in the data sheet.

I do not think the receiver software is playing tricks because  I measure with my receiver software a -1 dB compression point (at 10 Mhz) around -3 dBFS which seems to me totally normal if  0dBFS is corresponding to ADC  full scale. That leaves only the possibility for some strange behavior in the chip itself or some misinterpretations of the LT2145-14 specs on my part.

This begahvor does not change if I set the ref voltage to 2vPP instead of 1Vpp or if I use the other board with an op-amp and a 1:16 rf transformer. The converting factor dBFS to dBm is always 6dB too low and I can not explain it as all input impedance involved are strictly 50 ohms

I am really curious to understand the reason for this behavior and would appreciate your insight on this.

Regards

Peter

• The benefit of using the 1V range is SFDR if you are using an anemic driver that can't drive 2Vpp without distorting.

• 1Vpp into 50ohms is 4dBm.  2Vpp int 50ohms is 10dBm.  Check your math.

• and you please carefully read what I write and out of courtesy give it the right attention !!!!

! I don(t need to check my math because from the first post I am saying clearly that 1Vpp into 50ohms is 4dBm.  2Vpp int 50ohms is 10dBm. Your answer is quite dissapointing and useless

• This post can be closed I will not learn anything new and the initial question will unfortunately remain unanswered