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Another Eb/No Question

Started by Necronomicon October 2, 2007
Tim Wescott wrote:
> Ideally your carrier is at exactly one frequency, forever.
So your ideal is for nobody to move? That would certainly help preserve oil resources for future generations. :-) Steve
Necronomicon wrote:
> Tim Wescott wrote: >> Necronomicon wrote: >>> Tim Wescott wrote: >>>> Necronomicon wrote: >>>>> Does Eb/No, as used in digital communication >>>>> calculations for signal to noise ratios, take into >>>>> account the VCO/PLL/Reference phase noise of the carrier(s)? >>>>> >>>>> I ask because the phase noise is never really flat, and the Noise >>>>> Power Spectral Density, or "No", is in Watts/Hz, which is assuming >>>>> that the noise is flat across all frequencies (white noise). >>>>> >>>>> Certainly one could use the integrated phase noise, and just >>>>> add this to the integrated power of the noise floor, which would >>>>> be the (Watts/Hz) x (receiver noise band-width). >>>>> >>>>> But it seems like Eb/No is only considering an assumed spectrally >>>>> flat, white-noise, noise floor. >>>>> >>>>> >>>>> Thanks for any clarity on this.... >>>>> >>>> Unless you have a really crappy PLL the phase noise of your carrier >>>> won't directly affect the decoding of your signal. >>> >>> This is incorrect. The PLL phase noise will directly >>> affect the bit error rate of your demodulation, especially if it's >>> a 16-QAM or 64-QAM signal. You'll be able to see the phase >>> or amplitude shift directly off a displayed constellation. >>> >>> It's less critical if it's a QPSK or BPSK, but the phase >>> noise >>> will still affect your BER. >>> >>> And my original question is if the Eb/No takes the >>> phase noise into account. >>> >> I reserve the right to define "crappy PLL" as one that changes the phase >> enough, within one bit time, to mess up the demodulation. So, by >> definition, I'm right :). >> > > When you say: "Unless you have a really crappy PLL the phase > noise of your carrier > won't directly affect the decoding of your signal"...... > > ......you make it sound like phase noise is not a VCO design > issue > when this is clearly not the case, as people are constantly looking > for ways to increase the Q of their designs, to minimize phase noise, > especially > for 802.11a/g, with the higher OFDM data rates. > > Also, you really meant to say "within one symbol period", > because you can > have more than one bit per symbol. >
Sorry if it sounded like that. I'm well aware of the interest and difficulty in designing low noise VCOs, and keeping them that way when you put them in a PLL. And yes, I should have said "one symbol period". Proofreading is good, it's too bad it often happens after I post... -- Tim Wescott Wescott Design Services http://www.wescottdesign.com Do you need to implement control loops in software? "Applied Control Theory for Embedded Systems" gives you just what it says. See details at http://www.wescottdesign.com/actfes/actfes.html
Eric Jacobsen wrote:
> On Tue, 02 Oct 2007 11:21:28 -0700, Necronomicon <radio913@aol.com> > wrote: > > >Does Eb/No, as used in digital communication > >calculations for signal to noise ratios, take into > >account the VCO/PLL/Reference phase noise of the carrier(s)? > > > >I ask because the phase noise is never really flat, and the Noise > >Power Spectral Density, or "No", is in Watts/Hz, which is assuming > >that the noise is flat across all frequencies (white noise). > > > >Certainly one could use the integrated phase noise, and just > >add this to the integrated power of the noise floor, which would > >be the (Watts/Hz) x (receiver noise band-width). > > > >But it seems like Eb/No is only considering an assumed spectrally > >flat, white-noise, noise floor. > > > > > >Thanks for any clarity on this.... > > The short answer is no. Eb/No is a power efficiency metric, used > often to analyze the efficiencies of FEC and modulation in a > theoretical or simulation sense. For those cases phase noise is not > considered since it is implementation specific. So, in general Eb/No > does not consider phase noise, nor does it consider imperfections in > the filters or amplifiers. > > That doesn't mean that when you make a lab measurement to calibrate a > system or measure performance, that phase noise doesn't affect the > result. Clearly a measurement made on a practical system will > include the effects of all impairments, including phase noise. Usually > this gets lumped into an "implementation loss" term that will include > phase noise, distortions due to filters and amplifiers, etc., etc. >
I would expect this to be the case, as the Eb/No certainly doesn't consider for example, the IP3s of your amplifier chains, which would certainly be an impairment if you are in saturation for a 64-QAM signal. The tip-off for me is that the noise power spectral density is in Watts/Hz, which assumes spectrally flat noise. Ok, thanks. BTW, your website is wonderfully unprofessional and home-grown!
Tim Wescott wrote:
> Necronomicon wrote: > > Tim Wescott wrote: > >> Necronomicon wrote: > >>> Tim Wescott wrote: > >>>> Necronomicon wrote: > >>>>> Does Eb/No, as used in digital communication > >>>>> calculations for signal to noise ratios, take into > >>>>> account the VCO/PLL/Reference phase noise of the carrier(s)? > >>>>> > >>>>> I ask because the phase noise is never really flat, and the Noise > >>>>> Power Spectral Density, or "No", is in Watts/Hz, which is assuming > >>>>> that the noise is flat across all frequencies (white noise). > >>>>> > >>>>> Certainly one could use the integrated phase noise, and just > >>>>> add this to the integrated power of the noise floor, which would > >>>>> be the (Watts/Hz) x (receiver noise band-width). > >>>>> > >>>>> But it seems like Eb/No is only considering an assumed spectrally > >>>>> flat, white-noise, noise floor. > >>>>> > >>>>> > >>>>> Thanks for any clarity on this.... > >>>>> > >>>> Unless you have a really crappy PLL the phase noise of your carrier > >>>> won't directly affect the decoding of your signal. > >>> > >>> This is incorrect. The PLL phase noise will directly > >>> affect the bit error rate of your demodulation, especially if it's > >>> a 16-QAM or 64-QAM signal. You'll be able to see the phase > >>> or amplitude shift directly off a displayed constellation. > >>> > >>> It's less critical if it's a QPSK or BPSK, but the phase > >>> noise > >>> will still affect your BER. > >>> > >>> And my original question is if the Eb/No takes the > >>> phase noise into account. > >>> > >> I reserve the right to define "crappy PLL" as one that changes the phase > >> enough, within one bit time, to mess up the demodulation. So, by > >> definition, I'm right :). > >> > > > > When you say: "Unless you have a really crappy PLL the phase > > noise of your carrier > > won't directly affect the decoding of your signal"...... > > > > ......you make it sound like phase noise is not a VCO design > > issue > > when this is clearly not the case, as people are constantly looking > > for ways to increase the Q of their designs, to minimize phase noise, > > especially > > for 802.11a/g, with the higher OFDM data rates. > > > > Also, you really meant to say "within one symbol period", > > because you can > > have more than one bit per symbol. > > > Sorry if it sounded like that. I'm well aware of the interest and > difficulty in designing low noise VCOs, and keeping them that way when > you put them in a PLL. > > And yes, I should have said "one symbol period". Proofreading is good, > it's too bad it often happens after I post... >
You're clearly a control-systems specialist anyways, so you have an excuse! No worries.....