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Allan Variance with an HP53132a counter

GC
Gilles Clement
Sun, Jan 22, 2017 2:52 PM

Hi,

I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… !

I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach….

Please find hereafter the rationale:

  • The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation
  • This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance
  • But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies)
  • However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that:
    When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics)
    The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises)
    Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1)
  • So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance.
  • This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option.

Comments welcomed,
Best,
Gilles.

Hi, I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… ! I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach…. Please find hereafter the rationale: - The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation - This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance - But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies) - However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that: When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics) The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises) Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1) - So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance. - This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option. Comments welcomed, Best, Gilles.
AB
Azelio Boriani
Sun, Jan 22, 2017 4:25 PM

You don't need the OCXO option for the 53132... you need a stable and
accurate source like a GPSDO that will be your reference. Consider
buying the HP53132 but also a GPSDO. Is the 162kHz transmitter the
Allouis one (TDF/Syrte)?

On Sun, Jan 22, 2017 at 3:52 PM, Gilles Clement
clemgill@club-internet.fr wrote:

Hi,

I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… !

I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach….

Please find hereafter the rationale:

  • The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation
  • This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance
  • But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies)
  • However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that:
    When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics)
    The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises)
    Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1)
  • So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance.
  • This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option.

Comments welcomed,
Best,
Gilles.


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You don't need the OCXO option for the 53132... you need a stable and accurate source like a GPSDO that will be your reference. Consider buying the HP53132 but also a GPSDO. Is the 162kHz transmitter the Allouis one (TDF/Syrte)? On Sun, Jan 22, 2017 at 3:52 PM, Gilles Clement <clemgill@club-internet.fr> wrote: > Hi, > > I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… ! > > I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach…. > > Please find hereafter the rationale: > - The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation > - This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance > - But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies) > - However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that: > When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics) > The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises) > Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1) > - So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance. > - This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option. > > Comments welcomed, > Best, > Gilles. > _______________________________________________ > time-nuts mailing list -- time-nuts@febo.com > To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts > and follow the instructions there.
MD
Magnus Danielson
Sun, Jan 22, 2017 7:34 PM

Hi,

There is two types of errors done when using this type of counters,

First, the delta-estimator of frequency filtering will skew the Allan
deviation, mostly in the white phase noise region but the effect wears
of at the length of the averaging windown of the counter. Correct
interleave factor and processing lets the prefiltering be extended into
modified Allan deviation.

Second, the moving average is a form of interleaved estimation producing
a higher reading rate than the length of the avereage, giving a improved
response compared to traditional non-interleaved behavior. However,
processing such values as non-interleaved values will skew the Allan
deviation response. Correctly handle it as interleaved values removes
this bias effect.

You can do the same with Omega counters, considering you do things
properly for PDEV. I've got a paper to complete on that topic.

Cheers,
Magnus

On 01/22/2017 03:52 PM, Gilles Clement wrote:

Hi,

I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… !

I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach….

Please find hereafter the rationale:

  • The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation
  • This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance
  • But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies)
  • However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that:
    When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics)
    The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises)
    Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1)
  • So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance.
  • This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option.

Comments welcomed,
Best,
Gilles.


time-nuts mailing list -- time-nuts@febo.com
To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts
and follow the instructions there.

Hi, There is two types of errors done when using this type of counters, First, the delta-estimator of frequency filtering will skew the Allan deviation, mostly in the white phase noise region but the effect wears of at the length of the averaging windown of the counter. Correct interleave factor and processing lets the prefiltering be extended into modified Allan deviation. Second, the moving average is a form of interleaved estimation producing a higher reading rate than the length of the avereage, giving a improved response compared to traditional non-interleaved behavior. However, processing such values as non-interleaved values will skew the Allan deviation response. Correctly handle it as interleaved values removes this bias effect. You can do the same with Omega counters, considering you do things properly for PDEV. I've got a paper to complete on that topic. Cheers, Magnus On 01/22/2017 03:52 PM, Gilles Clement wrote: > Hi, > > I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… ! > > I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach…. > > Please find hereafter the rationale: > - The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation > - This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance > - But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies) > - However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that: > When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics) > The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises) > Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1) > - So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance. > - This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option. > > Comments welcomed, > Best, > Gilles. > _______________________________________________ > time-nuts mailing list -- time-nuts@febo.com > To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts > and follow the instructions there. >
TV
Tom Van Baak
Tue, Jan 24, 2017 4:56 PM

I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio
station signal (162 kHz). Its working quite well with a long term stability that is
« probably » better than 10E-8 which I am actually looking forward to better understand.
I am considering using an HP53132 counter for this purpose, although I understand that>
it may not be the most recommended approach….

Hi Gilles,

The HP53132 is fine for this application. 1e-8? No problem at all.

For distortion-free, long-term, automated measurements use the counter in TI mode instead of FREQ or PER mode. This is very simple: just divide your 162 kHz signal down to, say, 1 Hz and then compare that against a reference 1 Hz, such as a GPS 1PPS. That way you get a clean [phase difference] time series of your clock against GPS.

Your raw data is directly importable into TimeLab [1] and from that you will get correct phase / frequency / stability plots. The jitter in the GPS/1PPS will "drop out" quickly, especially if your OCXO is only 1e-8.

In this case you only need a plain GPS board with 1PPS [2] [3]. Lots of these on eBay in the $20 to $40 range as well [4]. In other words, you do not need a GPSDO; at this stage of your being a time nut that only adds new layers of complication. So just compare phase and keep it simple.

If you want lower cost, or more resolution than a HP53132, consider John's new TICC board [5], which will match and even out-perform the 53132. Both the 53132 and TICC are directly usable into TimeLab.

/tvb

[1] http://www.ke5fx.com/timelab/readme.htm
[2] https://www.adafruit.com/product/746
[3] https://www.parallax.com/product/28509
[4] for example, search eBay for LEA-6T and search the web for LEA-6T threads
[5] https://www.tapr.org/kits_ticc.html

----- Original Message -----
From: "Gilles Clement" clemgill@club-internet.fr
To: time-nuts@febo.com
Cc: "Gilles Clement FREE" clemgill@club-internet.fr
Sent: Sunday, January 22, 2017 6:52 AM
Subject: [time-nuts] Allan Variance with an HP53132a counter

Hi,

I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… !

I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach….

Please find hereafter the rationale:

  • The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation
  • This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance
  • But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies)
  • However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that:
    When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics)
    The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises)
    Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1)
  • So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance.
  • This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option.

Comments welcomed,
Best,
Gilles.

> I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio > station signal (162 kHz). Its working quite well with a long term stability that is > « probably » better than 10E-8 which I am actually looking forward to better understand. > I am considering using an HP53132 counter for this purpose, although I understand that> > it may not be the most recommended approach…. Hi Gilles, 1) The HP53132 is fine for this application. 1e-8? No problem at all. For distortion-free, long-term, automated measurements use the counter in TI mode instead of FREQ or PER mode. This is very simple: just divide your 162 kHz signal down to, say, 1 Hz and then compare that against a reference 1 Hz, such as a GPS 1PPS. That way you get a clean [phase difference] time series of your clock against GPS. Your raw data is directly importable into TimeLab [1] and from that you will get correct phase / frequency / stability plots. The jitter in the GPS/1PPS will "drop out" quickly, especially if your OCXO is only 1e-8. 2) In this case you only need a plain GPS board with 1PPS [2] [3]. Lots of these on eBay in the $20 to $40 range as well [4]. In other words, you do not need a GPSDO; at this stage of your being a time nut that only adds new layers of complication. So just compare phase and keep it simple. 3) If you want lower cost, or more resolution than a HP53132, consider John's new TICC board [5], which will match and even out-perform the 53132. Both the 53132 and TICC are directly usable into TimeLab. /tvb [1] http://www.ke5fx.com/timelab/readme.htm [2] https://www.adafruit.com/product/746 [3] https://www.parallax.com/product/28509 [4] for example, search eBay for LEA-6T and search the web for LEA-6T threads [5] https://www.tapr.org/kits_ticc.html ----- Original Message ----- From: "Gilles Clement" <clemgill@club-internet.fr> To: <time-nuts@febo.com> Cc: "Gilles Clement FREE" <clemgill@club-internet.fr> Sent: Sunday, January 22, 2017 6:52 AM Subject: [time-nuts] Allan Variance with an HP53132a counter Hi, I am new to this list and have been following it for a while with great interest. I am afraid I am getting contaminated with the "TN" virus… ! I developed a home-brewed OCXO crystal oscillator disciplined with a long wave radio station signal (162 kHz). Its working quite well with a long term stability that is « probably » better than 10E-8 which I am actually looking forward to better understand. I am considering using an HP53132 counter for this purpose, although I understand that it may not be the most recommended approach…. Please find hereafter the rationale: - The HP53132 implements a triangular averaging algorithm (Delta averaging) in its standard frequency or period measurement mode of operation - This feature provides a pretty high resolution (up to 0.5*10E-12 if I am correct) which should be appropriate at least to get a first idea of the oscillator performance - But it comes with the drawback that an Allan Variance computed directly from such frequency (or period) readings, would be distorted with respect to the "standard" Allan Variance (which assumes a PI averaging instead of a Delta averaging algorithm to compute the fractional frequencies) - However, from the Australian paper titled : « Considerations on the Measurement of the Stability of Oscillators with Frequency Counters » I noticed that: When I look at OCXO crystals oscillator stability discussions in the literature, White Frequency, Flicker Frequency and Random Walk Frequency seem to be the dominant noise factors considered (ex: in phase noise spectral density graphics) The distortion from Allan Variance to Delta Variance is limited for White Frequency, Flicker Frequency and Random Walk Frequency noises (though it can be several orders of magnitudes for White Phase and Flicker Phase noises) Moreover formulas are provided in the paper to evaluate the amount of such distortions. The impact appears to be a simple multiplier of 1.33, 1.30 and 1.15 for the three corresponding noises, the slopes of the curves are not impacted (i.e: tauE-1 ; tauE+0 and tauE+1) - So the idea is the following: start with a simple bench test, reading the standard mode of Periods measurement, calculate the "naive" Triangular Variance from these data, identifying the noise types (according to the slope of the curve sections), and applying the corresponding offset correction, hopefully leading to an estimate of the "standard" Allan Variance. - This approach would have the great advantage to be simple and cost effective, as one can find nowadays second hand 53132’s at reasonable cost even with the (mandatory) OCXO option. Comments welcomed, Best, Gilles.