Comp.dsp | Difference Between C/N And SNR And Understanding
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> Hi, > All Experts. I have confusion in understanding the relation between > C/N and SNR. I read through few articles and came up with following > explanations. please correct if i am wrong in my understanding. [Before > that i would like to thank all for posting answers or views on my > questions as it is helping me a lot to understanding your way of > thinking..expert way of thinking..really grateful to all of you]. > > first point > =========== > C/N is measure of UNMODULATED carrier power and noise ratio. SNR is > measure of MODULATED carrier (i.e. carrier with information on it) > power and noise ratio. > > second point > =========== > C/N is basically a RF domain measurement (pre-detected measurements) SNR > is a baseband domain measurement (post detected measurements on baseband > signals)This certainly makes sense, to a point. I hadn't heard the term "C/N ratio" before, and if you had an identifiable "carrier" it would make sense -- but few modern communications modes have a discrete carrier: they just have signals that are translated up to RF and shipped out the door. So it would seem that -- unless you were using AM -- before you could make use of this you'd have to define what "carrier" meant in your context.
> > third point [i took it from this link > http://www.insidegnss.com/node/1637] ============ > C/N0 assumes that the noise has infinite bandwidth (and thus power) > and therefore characterizes it using a density, that is, as the amount > of noise power per unit of bandwidth (i.e., watts/Hz) Conversely, SNR > considers the total noise power in a certain bandwidth (i.e., watts). > C/N0 can be derived from SNR if the noise bandwidth of the SNR > measurement is knownIn a way this is a less misleading measure: after you're done filtering the signal, your SNR may or may not change, depending on the bandwidth of the noise. But C/N0 is a constant.
> fourth point(this i took from wikipedia) ======== > Digitally modulated signals (e.g. QAM or PSK) are basically made of two > CW carriers (the I and Q components, which are out-of-phase carriers) . > In fact, the information (bits or symbols) is carried by given > combinations of phase and/or amplitude of the I and Q components. It is > for this reason that, in the context of digital modulations, digitally > modulated signals are usually referred to as carriers. Therefore, the > term carrier-to-noise-ratio (CNR), instead of signal-to-noise-ratio > (SNR) is preferred to express the signal quality when the signal has > been digitally modulated. > > ========== > few points finally > 1. so, i would demarcate the mixer as the partition for using the > terminology C/N and SNR. > from antenna to mixer stage, C/N terminology is used and after mixer to > baseband SNR terminology is used. 2. In fourth point, can i conclude SNR > = C/N [as C/N terminology is used in baseband domain]..the reason why i > am asking this is many of IEEE standards specify C/N for digital > modulations [for example 802.11 and 802.16 standard].I think you need to find out what their definition of "C" is. -- Tim Wescott Control system and signal processing consulting www.wescottdesign.com Reply Start a New ThreadReply by dvsarwate ●January 11, 20122012-01-11On Jan 11, 11:53�am, Tim Wescott <[email protected]> wrote:
>�I hadn't heard the term "C/N ratio" beforeThe term C/N ratio *has* been used in the past in this newsgroup, though not very frequently. Here, for example, is what Eric Jacobsen said once upon a time in a different avatar than his current one (though not as ministerially as when he worked for another employer).
>CNR = Carrier to Noise Ratio. For non-suppressed carrier modulation, >like AM, this is the ratio of the unmodulated carrier wave power to >noise. For a signal with no carrier wave (suppressed-carrier signals >like PSK), the carrier power is typically taken as the signal power, >hence CNR = SNR. For PSK there is a rational basis for this, since if >the modulation is removed from the PSK signal (i.e., you stop >modulating it so that it becomes a CW), the modulated spectrum >collapses to a line that has the same total power as the original >modulated signal.
>For AM or FM the signal component of the composite signal + carrier >may not be equal in power level to the carrier component of the >composite signal. In this case CNR != SNR.Reply Start a New ThreadReply by Tim Wescott ●January 11, 20122012-01-11On Wed, 11 Jan 2012 09:23:37 -0800, dvsarwate wrote:
> On Jan 11, 11:53 am, Tim Wescott <[email protected]> wrote: > >> I hadn't heard the term "C/N ratio" before > > The term C/N ratio *has* been used in the past in this newsgroup, though > not very frequently. Here, for example, is what Eric Jacobsen said once > upon a time in a different avatar than his current one (though not as > ministerially as when he worked for another employer). > >>CNR = Carrier to Noise Ratio. For non-suppressed carrier modulation, >>like AM, this is the ratio of the unmodulated carrier wave power to >>noise. For a signal with no carrier wave (suppressed-carrier signals >>like PSK), the carrier power is typically taken as the signal power, >>hence CNR = SNR. For PSK there is a rational basis for this, since if >>the modulation is removed from the PSK signal (i.e., you stop modulating >>it so that it becomes a CW), the modulated spectrum collapses to a line >>that has the same total power as the original modulated signal. > >>For AM or FM the signal component of the composite signal + carrier may >>not be equal in power level to the carrier component of the composite >>signal. In this case CNR != SNR.That's certainly what I thought the most _rational_ explanation would be. -- My liberal friends think I'm a conservative kook. My conservative friends think I'm a liberal kook. Why am I not happy that they have found common ground? Tim Wescott, Communications, Control, Circuits & Software http://www.wescottdesign.com Reply Start a New ThreadReply by Eric Jacobsen ●January 11, 20122012-01-11On Wed, 11 Jan 2012 09:23:37 -0800 (PST), dvsarwate <[email protected]> wrote:
>On Jan 11, 11:53=A0am, Tim Wescott <[email protected]> wrote: > >>=A0I hadn't heard the term "C/N ratio" before > >The term C/N ratio *has* been used in the past in this >newsgroup, though not very frequently. Here, for example, >is what Eric Jacobsen said once upon a time in a different >avatar than his current one (though not as ministerially as >when he worked for another employer). > >>CNR =3D Carrier to Noise Ratio. For non-suppressed carrier modulation, >>like AM, this is the ratio of the unmodulated carrier wave power to >>noise. For a signal with no carrier wave (suppressed-carrier signals >>like PSK), the carrier power is typically taken as the signal power, >>hence CNR =3D SNR. For PSK there is a rational basis for this, since if >>the modulation is removed from the PSK signal (i.e., you stop >>modulating it so that it becomes a CW), the modulated spectrum >>collapses to a line that has the same total power as the original >>modulated signal. > >>For AM or FM the signal component of the composite signal + carrier >>may not be equal in power level to the carrier component of the >>composite signal. In this case CNR !=3D SNR.Thanks for that blast from the past. And that's still as good as I can figure out how people use the terms. Like a lot of terms in technology, people just use these terms and sometimes they're not universally defined. As mentioned (even by the OP), when it comes to most digitally-modulated signals C/N and SNR are pretty much interchangeable, and so is EVM. At least I've never been able to detect any clear differences in the definitions to be able to point to something and say "that's how it's different than the others". I think most of what the OP posted makes some sense, but I wouldn't count on the terms being consistently used the way he's described. I haven't seen most of those definitions before and wouldn't be aware that somebody thought those distinctions existed formally without them being explicit about it. Eric Jacobsen Anchor Hill Communications www.anchorhill.com Reply Start a New ThreadReply by mnentwig ●January 12, 20122012-01-12I'm not sure that I agree with Wikipedia. There is no universal, non-ambiguous definition of many terms in RF engineering. Without knowing more detail, I'd assume that C/N ratio and SNR refer to one and the same thing. You can't define carrier-to-noise anything on a sine wave without a measurement bandwidth. An _ideal_ sine wave has exactly 0 Hz bandwidth, no more and no less. There simply isn't any room for noise. BTW, one way to get solid numbers in many cases is to apply a matched filter to the signal. Obviously, some filtering is necessary, to suppress out-of-channel noise. This works well with box-shaped signal spectra (OFDM, CDMA etc), but you'll be off a dB or two in GSM. Reply Start a New ThreadReply by HardySpicer ●January 15, 20122012-01-15On Jan 11, 9:26�pm, aizza ahmed <[email protected]> wrote:
> Hi, > � �All Experts. I have confusion in understanding the relation between > C/N and SNR. I read through few articles and came up with following > explanations. please correct if i am wrong in my understanding. > [Before that i would like to thank all for posting answers or views on > my questions as it is helping me a lot to understanding your way of > thinking..expert way of thinking..really grateful to all of you]. > > first point > =========== > C/N is measure of UNMODULATED carrier power and noise ratio. > SNR is measure of MODULATED carrier (i.e. carrier with information on > it) �power and noise ratio. > > second point > =========== > C/N is basically a RF domain measurement (pre-detected measurements) > SNR is a baseband domain measurement (post detected measurements on > baseband signals) > > third point [i took it from this linkhttp://www.insidegnss.com/node/1637] > ============ > �C/N0 assumes that the noise has infinite bandwidth (and thus power) > and therefore characterizes it using a density, that is, as the amount > of noise power per unit of bandwidth (i.e., watts/Hz) > Conversely, SNR considers the total noise power in a certain bandwidth > (i.e., watts). �C/N0 can be derived from SNR if the noise bandwidth of > the SNR measurement is known > > fourth point(this i took from wikipedia) > ======== > Digitally modulated signals (e.g. QAM or PSK) are basically made of > two CW carriers (the I and Q components, which are out-of-phase > carriers) . In fact, the information (bits or symbols) is carried by > given combinations of phase and/or amplitude of the I and Q > components. It is for this reason that, in the context of digital > modulations, digitally modulated signals are usually referred to as > carriers. Therefore, the term carrier-to-noise-ratio (CNR), instead of > signal-to-noise-ratio (SNR) is preferred to express the signal quality > when the signal has been digitally modulated. > > ========== > few points finally > 1. so, i would demarcate the mixer as the partition for using the > terminology C/N and SNR. > from antenna to mixer stage, C/N terminology is used and > after mixer to baseband SNR terminology is used. > 2. In fourth point, can i conclude SNR = C/N [as C/N terminology is > used in baseband domain]..the reason why i am asking this is many of > IEEE standards specify C/N for digital modulations [for example 802.11 > and 802.16 standard]. > > Thanks > aizza ahmedNo CNR ok but SNR is at baseband signal to noise ratio. Reply Start a New ThreadReply by glen herrmannsfeldt ●January 15, 20122012-01-15Eric Jacobsen <[email protected]> wrote: (snip, someone wrote)
>>The term C/N ratio *has* been used in the past in this >>newsgroup, though not very frequently. Here, for example, >>is what Eric Jacobsen said once upon a time in a different >>avatar than his current one (though not as ministerially as >>when he worked for another employer).(snip, someone else wrote)
>>>For AM or FM the signal component of the composite signal + carrier >>>may not be equal in power level to the carrier component of the >>>composite signal. In this case CNR !=3D SNR.
> Thanks for that blast from the past.
> And that's still as good as I can figure out how people use the terms. > Like a lot of terms in technology, people just use these terms and > sometimes they're not universally defined.It seems to me that S/N depends on the amplitude of the signal, where C/N doesn't. In other words, S/N is relative, C/N absolute.
> As mentioned (even by the > OP), when it comes to most digitally-modulated signals C/N and SNR are > pretty much interchangeable, and so is EVM. At least I've never been > able to detect any clear differences in the definitions to be able to > point to something and say "that's how it's different than the > others".In the case of the usual (or even not so usual) digital modulation methods, the modulating signal has reasonably constant amplitude. (Even for QAM, it will average out pretty fast.) On the other hand, for either AM or FM radio, or for that matter analog television, the signal amplitude can be pretty variable. For AM, it is easy to see the effect of noise on the demodulation signal, not quite as obvious for FM.
> I think most of what the OP posted makes some sense, but I wouldn't > count on the terms being consistently used the way he's described. I > haven't seen most of those definitions before and wouldn't be aware > that somebody thought those distinctions existed formally without them > being explicit about it.-- glen Reply Start a New Thread
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