Measurements and understanding (trying)

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corbintechboy

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I am trying my hand at understanding values within radio specifications.

My Icom R75 has a sensitivity of 0.16 µV in SSB with pre-amp one on. Is there a method to convert that to db? And at what point does noise make the lower number become worthless? Well, what I mean is if looking at sensitivity what is the usual number of noise (even in the quietest RF situation) where sensitivity is not that important?

Hard to explain what I mean lol.

Just trying to learn here.
 

Ed_Seedhouse

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My Icom R75 has a sensitivity of 0.16 µV in SSB with pre-amp one on. Is there a method to convert that to db?

No. Well, you could pick an arbitrary figure and re express this in db above or below that figure, but it would be meaningless. Receiver sensitivity is always expressed in microvolts, but it means almost nothing.

And at what point does noise make the lower number become worthless?

At the point the noise is enough stronger than the signal to swamp it. Noise varies all over the place depending (among other things) location, frequency, and antenna type.

Frankly the sensitivity figures don't tell you much. Any reasonably modern receiver (and many old ones too) will have plenty of sensitivity.

Well, what I mean is if looking at sensitivity what is the usual number of noise (even in the quietest RF situation) where sensitivity is not that important?

Just about any level at all. Too much sensitivity is bad because it will mean the receiver overload point is also low. The front end overload point is much more important than sensitivity (within reason).

Most of the noise performance figures you will read mean very little.
 

corbintechboy

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That makes sense.

I understand that sensitivity is a very small part of the equation of what makes a good radio. I am just trying to understand how DB fit into the whole thing.

Like the Bonito Radiojet has a sensitivity .03 micro volts with a noise floor of 137 DB. This tells me (if my thinking is right) that the sensitivity measurement is moot because the internal noise floor is actually higher then the rated sensitivity. Is that thinking right?
 

Ed_Seedhouse

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I understand that sensitivity is a very small part of the equation of what makes a good radio. I am just trying to understand how DB fit into the whole thing.

A DB, or "Decibell" is simply a ratio of two quantities. For radio purposes 10db is a 10 to one power ratio, 3 db is two to one and 1db is about 20%. The DB ratio is logarithmic so you add to multiply. So if you have a 1 watt amplifier and you increase power by 13db your power output will be 1*10*2=20watts. Simlarly a 20db power increase will be 1*10*10=100 watts.

The actual unit is a Bell, named for the inventor of the telephone. A Decibel is one tenth of a bell.

In order to be meaningful as an "absolute" unit the decibel must be referred to some absolute measurement. So with antennas a dipole is said to have a gain of around 2.5 db referred to an isotopic antenna and this is given as "2.5 dbi" If an antenna has twice the gain of a dipole it is referred to as having 3 dbd gain, and so on. Unless a referent is given decibel ratings are usually meaningless. You often hear about antennas with "9db" gain, but this is meaningless. "9 dbd" is meaningful and means that the antenna has 9 decibels gain over a dipole ( = 8 to one power amplification).

Like the Bonito Radiojet has a sensitivity .03 micro volts with a noise floor of 137 DB. This tells me (if my thinking is right) that the sensitivity measurement is moot because the internal noise floor is actually higher then the rated sensitivity. Is that thinking right?

It means nothing at all to me. Receiver specifications often mean very little or nothing for practical purposes. Receiver design at VHF/UHF is pretty well understood these days and other features mean a lot more. Like, how easy is it to use? What actually useful features does it have?
 

majoco

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The trouble with dB's is that they need a reference point. Without that, they are just a ratio. Some radio's express a sensitivity with reference to "0dBm" where "0dBm" is 1milliwatt on 50 ohms. If you do quite a bit of complicated arithmetic, this works out to show that 1microvolt in 50ohms is -107dBm.

Others go the other way round and take 1uV in 50Ohms as the reference point, so everything is a positive value.

Some time a go I drew up a chart to show all the relative values....

voltage-powerchartsmall2.jpg


If you want a better version then PM me.
 

corbintechboy

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Thank you.

Now it makes sense. In reality this is probably something I should not be to concerned with when it comes to specs. In an optimal environment (which I do not have) these stats hold water. Real world performance cannot (really) be measured by these numbers alone (unless really horrible and that will show on paper).

Thanks again.
 

Ed_Seedhouse

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Now it makes sense. In reality this is probably something I should not be to concerned with when it comes to specs. In an optimal environment (which I do not have) these stats hold water. Real world performance cannot (really) be measured by these numbers alone (unless really horrible and that will show on paper).

Specs that do matter are resistance to overload and to harmonics. The higher the better, especially if you are near an urban area with AM and FM stations putting out 50,000 watts plus. If you tune to double the frequency of the most powerful local AM broadcast station you can see if the signal is audible there and how loud it is. This is particularly a problem with some pocket SW radios which tend to be extremely sensitive so they will work with their built in SW antennas. If you than add an outdoor wire to get better, lower noise, results they will often overload badly.

Also selectivity and frequency stability are important specs that do make a difference.

Most receivers these days are solid on stability, but poor selectivity can be a real problem on the low end.
 

corbintechboy

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0.16 microvolts is about -123 dBm

Reference = 0 dBM = 224 millivolts

dBm = 20 * LOG (0.16 microvolts/Reference)

http://www.repeater-builder.com/tech-info/measuring-sensitivity/dbm2uv.pdf

Thank you.

Looking at it now I understand.

So a higher dBm rating makes signals have to be stronger in order to be heard, makes sense. So an injected signal of -124 dBm my radio should not "hear". This tells me a lot.

Now I can apply this to dynamic range and a wealth of other stuff.

Thank you all for the replies, I believe I got it now.
 

Token

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No. Well, you could pick an arbitrary figure and re express this in db above or below that figure, but it would be meaningless. Receiver sensitivity is always expressed in microvolts, but it means almost nothing.

Not trying to be argumentative or anything, but receiver sensitivity is not “always expressed in microvolts” and sensitivity does mean something. No, I am not saying sensitivity is the most important parameter of receiver performance, but it is important, I would certainly prefer a 0.1 µV receiver over a 4 mV receiver, assuming the same standard used for both measurements. Of course other parameters such as Dynamic Range, Image Rejection, and Selectivity are more important to the big scheme of things, particularly with regard to modern communications receivers. Yes, by convention receiver sensitivity in communications receivers is most often expressed in microVolts, but not always. Sure, you seldom see anything else, particularly in the Hobby market and in communications, but also in some other disciplines. There are several disciplines that will almost never use µV for receiver sensitivity.

It is not wrong, at all, to express receiver sensitivity several different ways, as long as the standard remains the same or is stated (i.e. 10 dB S/N for X Hz BW). And stepping away from the hobby and communications receiver world it becomes less frequently expressed in microVolts. In the world I work in receiver sensitivity, indeed any receiver centric power level, such as noise floor (but not Noise Figure), MDS, sensitivity, etc, are almost always express in dBm, if I asked most of my techs to give me the sensitivity of the system receiver in microVolts they might give me a blank stare, but ask them to measure it in dBm and they would be on board. While most of my engineers might quickly do the conversion from dBm to Volts a few might have to think about it first, simply because it is not the norm for us. They would still probably measure it in dBm and then convert to µV. Transmitter values, in the same environment, are most often express in either dBm or dBW (locally dBm is most frequent, but dealing with other entities we often have to express in dBW), and only occasionally converted to Watts.

Other units of receiver sensitivity I have seen used would be dBf (dB femtoWatt) and dBp (dB picoWatt). For people not familiar with this 0.22 µV = 0dBf = -30 dBp = -120 dBm (in a 50 Ohm system). So you can see that dBf might be applicable when you do not want large values when talking about receiver MDS’s or sensitivities. dBf grew in popular usage a couple decades ago when makers of stereo receivers decided that big negative numbers (like -120 dBm) and complex numbers with zeros and decimal points in them (like 0.22 µV) did not have a favorable marketing image, so they started expressing stereo FM receivers in dBf, resulting in claims along the line of 10 dBf for 0.7 µV or 7 dBf for 0.5 µV (true values are often rounded off in marketing for a cleaner look).

I am trying my hand at understanding values within radio specifications.

My Icom R75 has a sensitivity of 0.16 µV in SSB with pre-amp one on. Is there a method to convert that to db? And at what point does noise make the lower number become worthless? Well, what I mean is if looking at sensitivity what is the usual number of noise (even in the quietest RF situation) where sensitivity is not that important?
This question has already been answered, but I will also try to explain it, possibly to give a little different view of it. Always, always, pay attention to the units used. This is the letter after the “dB”. dBm, dBf, dBµV are each based on a different reference (dBm is referenced to milliWatts, dBf is referenced to femtoWatts, and dBµV is referenced to microVolts) and cannot be interchanged, although conversion between them is often easy. As Ed_Seedhouse has already pointed out, any ratio can be expressed in “dB” but the number itself is meaningless without the reference.

One of our engineers used to drive this point home by making all the techs work out everything in dB for practice, even the price of lunch or a car in dB$ or in dBcents. For example lunch that cost $7 could be said to cost 8.45 dB$, but a $20000 dollar car would only be 43.01 dB$ ;)

We have to start with the basic question, what do we mean by receiver sensitivity? It is not simply the weakest signal a receiver can detect, but rather it is the smallest signal level that, when received, will produce a specific output from the receiver. Not only will the receiver detect the signal, but it will reproduce the signal with a signal to noise ratio that is defined. Since bandwidth plays into all of this any measurement of sensitivity must include the minimum data of the signal level, the signal to noise ratio that is the standard, and the bandwidth used. For example, 0.16 µV (10dB S/N at 500 Hz BW).

You cannot convert 0.16 µV to dB, but you can convert it to some specific scale based on a reference point. In order to do so you must keep in mind the power and Voltage relationships. No reason to go into the formulas used here, the easiest is to just grab a chart (this chart is for a 50 Ohm system):
http://www.hawaiirepeaters.net/dBm-to-Microvolts.pdf

If you look at that chart you will see that your 0.16 µV is about -123 dBm. But that signal was what was required to produce say a 10 dB SNR (or whatever the standard used), so that the noise floor of your R75 might be more like something around -132 or -133 dBm (0.05 µV). This means you might be able to detect a signal a good bit weaker than the 0.16 µV that is the stated sensitivity value.

At what point more sensitivity becomes useless is going to depend on MANY variables. Local noise sources, natural noise, thermal noise, antenna performance, etc. There is no one number. A value for this at 2.5 MHz will not be the same value, even for the same location, for 25 MHz.


Now it makes sense. In reality this is probably something I should not be to concerned with when it comes to specs. In an optimal environment (which I do not have) these stats hold water. Real world performance cannot (really) be measured by these numbers alone (unless really horrible and that will show on paper).

These receiver performance numbers only define the potential capability of the receiver. They are important to know but are not the entire story by a long shot. However, better numbers are never a bad thing unless you have to give up some other aspect of receiver performance to achieve them.

For example, if you build a receiver with 0.02 µV sensitivity that is potentially outstanding. Maybe not everyone can use it because of the noise at their location or because of natural atmospheric noise issues. For people in exceptionally quiet locations or with specific antenna constraints or who use this receiver as part of a more complex system (such as the final IF of a downconverter) this sensitivity might be a trait that could be exploited. But, if in achieving this performance you have a limited dynamic range this just means the receiver will become overloaded on strong signals. Of course there are ways to address this, I only mention it as this is part of the entire package.

A good basic, unscientific, test for a receiver involves removing the antenna. With the receiver attached to your antenna tune to a frequency with no signal on it and no signal near it. Try something at a high frequency if talking about HF, like maybe around 29 MHz. Disconnect the antenna from the radio. If the noise level goes DOWN when the antenna is off the radio then your radio probably has adequate sensitivity for your specific installation, you are already detecting at a level that is at or below your specific noise floor. If you do NOT detect a change in noise floor it means your receiver might be the limitation, and not noise. Yeah, I know, there are lots of potential problems in this test, but it does tell you if you could benefit from more sensitivity or not.

Like the Bonito Radiojet has a sensitivity .03 micro volts with a noise floor of 137 DB. This tells me (if my thinking is right) that the sensitivity measurement is moot because the internal noise floor is actually higher then the rated sensitivity. Is that thinking right?

This sensitivity and noise floor are probably the result of a misunderstanding. -137 dBm is about 0.032 µV.

This web page is probably where you are getting these numbers:
Bonito RadioJet - 24 Bit High Performace IF-Reciver

It says “MDS -134 dBm = 0.03 µV sensitivity MDS = (Minimum Detectable Signal 3 dB above noise)”

The problem here is the use of a non standard measurement and description. It is describing an MDS (Minimum Detectable Signal) as being something that is 3 dB above the noise floor. First, it is saying an MDS of -134 dBm is equal to 0.03 µV sensitivity, and that is simply wrong. It might, maybe, be equal to a 0.03 µV noise floor, but if so this is a very odd way to express it. If their noise floor is truly -137 dBm, as is indicated by their statements (the -134 dBm MDS minus the 3dB defined), the sensitivity might be more like 0.10 µV (10 dB S/N @ 500 Hz), but I just use that number as a possibility, it is not a calculation or a measurement.

Personally I would have serious doubts about any performance claims on that web site based on the appearance that whoever wrote that stuff seemingly does not understand the basics. They are defining their stated sensitivity as the same as their noise floor, and a pretty ambitious noise floor at that.

T!
 
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Token

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Thank you.

Looking at it now I understand.

So a higher dBm rating makes signals have to be stronger in order to be heard, makes sense. So an injected signal of -124 dBm my radio should not "hear". This tells me a lot.

Now I can apply this to dynamic range and a wealth of other stuff.

Thank you all for the replies, I believe I got it now.

No, your radio will still "hear" a -124 dBm signal, but it will not "hear" it as clearly as it would a -123 dBm signal. The signal to noise ratio will not be as good.

T!
 

corbintechboy

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Thank you very much for the detailed explanation Token.

Now I think I got it lol.

I wanted to look into this because I am thinking about toying with some testing. Micro volts always somewhat made sense, now with SDR radios everything has moved to dB and I was lost. Even some sites I visit review radios and use dB. Although I been into the hobby for years I just never have looked at radio in the scientific method I am now.

Thank you all for the replies.
 
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-122.907 dBm. If you have an iPhone there are several nifty apps that will do the hard work for you. I used one called dB Calc.
 

majoco

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MDS and sensitivity are not comparable.
Sensitivity should be quoted in terms of giving a specific result, such as "0.3uV in 50ohms at the antenna terminals for 10dB signal to noise ratio".
MDS needs to be only 3dB above the receiver noise to be heard and is easily demonstrated in SSB by turning the carrier on and off at 1 second intervals. Often the figure looks quite astounding but for all practical purposes, it doesn't mean much - although it does give you a clue as to the "quietness" of the receiver - but then a receiver with poor sensitivity will be quiet too!
 

ab3a

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The point of all this blather is that receiver design and performance measurement is a subject that many books have been written about.

You've just sampled the issue of sensitivity. Wait until you start reading about dynamic range.. :)

I recommend the ARRL books on this subject as a starting point.
 

majoco

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Agreed - you can't just take one parameter and say that 'this is a good receiver'. A lot of professional receivers of the 70's and before would appear to have poor sensitivity figures, but they were designed to be used in crowded RF environments - the middle of Europe for instance, where high powered HF transmitters and jamming were commonplace. Receiving the wanted signal was not the main problem, removing the unwanted ones was more difficult, so sharp filters and rejection of cross-modulation was critical.

The Sherwood table (Receiver Test Data) would appear to have things in the wrong order, giving priority to the dynamic range point rather than sensitivity, but when you think about it, what is more important? If you can move to a quiet location, then you can use your sensitivity, but if your stuck in the middle of a hostile RF environment, then rejection is more important.
 

corbintechboy

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I agree as well.

I simply used sensitivity as a way of trying to understand. Now with more research I am understanding dynamic range and whatnot. Interesting stuff and I am glad to see my R75 was a good purchase in many regards :D.
 
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