Re: [time-nuts] GPS to H-Maser comparison

2013-10-04 Thread mc235960
Truly astonishing. I see nothing in my ntp gps data and unfortunately was not 
logging my thunderbolt.

Le 4 oct. 2013 à 05:56, Jim Palfreyman a écrit :

 Hi all,
 
 If you go to this page: http://users.on.net/~cdadsl/ you will see some
 graphs (all in UT). Notice the larger than usual bump on Oct 02 around 0600
 ish. The names are locations all over Australia.
 

  I never thought I'd have to do this. Yaragadee should have two r's

 Jim Palfreyman
 
 
 On Friday, 4 October 2013, Brian Inglis wrote:
 
 On 2013-10-03 05:33, Jim Palfreyman wrote:
 
 Noticed an above average bump in our H-Maser vs GPS graphs - from sites
 all
 over Australia.
 
 Recent coronal mass ejection or US government shutdown not updating GPS?
 
 Anyone else seen it?
 
 
 drop out gap between about 04.21-04.26 UTC?
 clockstats.20131003:
 56568 15684.876 127.127.20.4 $GPRMC 042124 A ...
 56568 16004.862 127.127.20.4 $GPRMC 042644 A ...
 peerstats.20131003:
 56568 15684.876 127.127.20.4 961a -0.02270 ... 0.05344
 56568 16004.862 127.127.20.4 961a -0.13150 ... 0.15721
 loopstats.20131003:
 56568 15684.876 -0.02270 0.899 0.07071 0.70 4
 56568 16004.862 -0.13150 0.898 0.08830 0.000114 4
 
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Re: [time-nuts] A man with two clocks...

2013-10-04 Thread Collins, Graham

No, my code is not posted anywhere but I would be glad to email it to anyone 
interested.

Cheers, Graham 

-Original Message-
From: time-nuts-boun...@febo.com [mailto:time-nuts-boun...@febo.com] On Behalf 
Of Phil Genera
Sent: October-03-13 6:44 PM
To: Discussion of precise time and frequency measurement
Subject: Re: [time-nuts] A man with two clocks...

Is your code posted anywhere? I've been meaning to do roughly the same.

-- Phil
On Oct 3, 2013 12:07 PM, Collins, Graham coll...@navcanada.ca wrote:

 David,

 Your raspberry-pi NTP clock is very cool.

 I have put together something along the same line but is in reality 
 just a network connected NTP disciplined clock display using an 
 Arduino and a typical 16x2 LCD housed in a small project box.

 The Arduino has a network shield and get's it power from a USB port 
 although it could be powered by a battery or wall wart type of supply.

 When it starts, the device attempts to get an IP address using DHCP. 
 Once that is sorted it attempts to sync to my local GPS disciplined 
 NTP server, then sets and displays it's time. It resyncs every some 
 value between 15 and 30 minutes with the NTP server. If ever my local 
 NTP server can't be found, it will attempt to sync to an outside NTP 
 server on the internet. It keeps pretty good time, not time nuts 
 level but is always within a few tenths of a second which is suitable for 
 it's intended purpose.

 Basic time keeping of the Arduino uses it's 16MHz crystal clock and 
 there is some provision for adjusting in code which I have done to 
 improve it's time keeping. I am toying with the idea of adding a 1 PPS 
 input but just haven't gotten round to it yet.

 All the bits and pieces of the code was copied from existing projects 
 and libraries it being just a matter of finding the appropriate bits 
 and pieces, putting them together and making changes in a few places 
 to improve it's time keeping. It was a fun project to put together and 
 has proven so useful in my lab that I will probably put together a couple 
 more.

 Cheers, Graham ve3gtc


 ===

 Max,

 I see similar things here.  I've always put it down to relatively poor 
 circuitry in the radio clock, which is why I built my NTP-controlled 
 wall clock!

   http://www.satsignal.eu/raspberry-pi/DigitalClock.html

 One radio clock is below.  That particular MSF clock is actually not 
 too bad - visibly it's in sync with the NTP clock (which itself is 
 within a few microseconds of GPS time).

 73,
 David GM8ARV
 --
 SatSignal Software - Quality software written to your requirements
 Web: http://www.satsignal.eu
 Email: david-tay...@blueyonder.co.uk
 .
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Re: [time-nuts] A man with two clocks...

2013-10-04 Thread Didier Juges
Max,

This is a very interesting project and well documented, thank you!

Didier KO4BB

David J Taylor david-tay...@blueyonder.co.uk wrote:
Among my time nut toys is a Consumer grade GPS clock and a similar WWVB
clock.  The WWVB clock consistently runs about 0.2 seconds ahead of the
GPS
one.  I know no one can say why without knowing the particulars of the
two
clock's circuits.  Just thought I'd post it for what it's worth.

Regards.

Max.  K 4 O DS.
===

Max,

I see similar things here.  I've always put it down to relatively poor 
circuitry in the radio clock, which is why I built my NTP-controlled
wall 
clock!

  http://www.satsignal.eu/raspberry-pi/DigitalClock.html

One radio clock is below.  That particular MSF clock is actually not
too 
bad - visibly it's in sync with the NTP clock (which itself is within a
few 
microseconds of GPS time).

73,
David GM8ARV
-- 
SatSignal Software - Quality software written to your requirements
Web: http://www.satsignal.eu
Email: david-tay...@blueyonder.co.uk 

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-- 
Sent from my Motorola Droid Razr 4G LTE wireless tracker while I do other 
things.
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Re: [time-nuts] GPSDO choices

2013-10-04 Thread Paul
The Novus at www.synreference.net

Sent from my iPhone

 On Oct 3, 2013, at 11:24 PM, Paul tic-...@bodosom.net wrote:
 
 I'm looking for a new, ready to go, inexpensive desktop GPSDO.  So
 far I've only found the Fury and Thunderbolt E.
 
 Are there other reasonable choices e.g. the J R Miller (although I'm
 not sure there's a source of new TU-30 parts).
 
 Thanks.
 
 --
 Paul
 
 *Say  $2k
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Re: [time-nuts] FTS 4060 Cesium Time Frequency Standard, Datum

2013-10-04 Thread Dan Kemppainen


On 10/2/2013 10:34 PM, time-nuts-requ...@febo.com wrote:
 Hi guys,
 
 I am going to pull it apart this weekend and do some more exploring. Hope to 
 get some pictures for reference.
 
 I think I will make up some extender cables so I can operate the CBT 
 assembly away from the main chassis. That should make things a bit easier to 
 look at.
 
 Thanks,
 Tom

Just to clarify, CBT, is Cesium Beam Tube right? I made the mistake of
searching for that acronym, and ended up with some very different
results. Not time related results...

Dan
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Re: [time-nuts] GPSDO choices

2013-10-04 Thread Mark Spencer
Hi Paul,

I purchased one of the Miller units and it more than met my expectations (that 
were set by the description on his web site and the information I was able to 
find on the web.)   I also purchased a Fury which also more than met my 
expectations.   I would have no issues repeating either purchase.  Depending on 
your needs and budget both units could be reasonable choices.

For what it is worth when I purchased the Miller unit I was looking for a 10 
Mhz frequency standard for use with my amateur radios, when I purchased the 
Fury I was looking for a new GPSDO for time nuts hobby useage.  I also own 
several other GPSDO's including a surplus Thunderbolt.   The nominal 12 Volt 
power requirements of both the Miller and Fury units are a plus for me but in 
practice I have never run my Fury from any source other than the power supply 
that was shipped with it.

If you would like more specfic info feel free to contact me off list and I can 
try to help.

Regards
Mark Spencer
--



 On Oct 3, 2013, at 11:24 PM, Paul tic-...@bodosom.net wrote:
 
 Iapos;m looking for a new, ready to go, inexpensive desktop GPSDO.  So
 far Iapos;ve only found the Fury and Thunderbolt E.
 
 Are there other reasonable choices e.g. the J R Miller (although Iapos;m
 not sure thereapos;s a source of new TU-30 parts).
 
 Thanks.
 
 --
 Paul
 
 *Say  $2k
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Re: [time-nuts] FTS 4060 Cesium Time Frequency Standard, Datum

2013-10-04 Thread Tom Miller

Hi Dan,

Yes, it is Cesium Beam Tube.

Maybe someone can tell me the best way to search the time-nuts archive. Do 
you need to download all the files to a common DB?



Regards,
Tom

- Original Message - 
From: Dan Kemppainen d...@irtelemetrics.com

To: time-nuts@febo.com
Sent: Friday, October 04, 2013 8:23 AM
Subject: Re: [time-nuts] FTS 4060 Cesium Time  Frequency Standard, Datum




On 10/2/2013 10:34 PM, time-nuts-requ...@febo.com wrote:

Hi guys,

I am going to pull it apart this weekend and do some more exploring. Hope 
to

get some pictures for reference.

I think I will make up some extender cables so I can operate the CBT
assembly away from the main chassis. That should make things a bit easier 
to

look at.

Thanks,
Tom


Just to clarify, CBT, is Cesium Beam Tube right? I made the mistake of
searching for that acronym, and ended up with some very different
results. Not time related results...

Dan
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[time-nuts] trimble antenna connector

2013-10-04 Thread Eric Garner
why do older  thunderbolts use an F connector for the antenna? (the
current version uses a BNC).
It seems like it needlessly complicates installation at a base station.

I've always wondered this.

-- 
--Eric
_
Eric Garner
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[time-nuts] exponential+linear fit

2013-10-04 Thread Jim Lux
I'm trying to find a good way to do a combination exponential/linear fit 
(for baseline removal).  It's modeling phase for a moving source plus a 
thermal transient, so the underlying physics is the linear term (the 
phase varies linearly with time, since the velocity is constant) plus 
the temperature effect.


the general equation is y(t) = k1 + k2*t + k3*exp(k4*t)

Working in matlab/octave, but that's just the tool, I'm looking for some 
numerical analysis insight.


I could do it in steps.. do a straight line to get k1 and k2, then fit 
k3 k4 to the residual; or fit the exponential first, then do the 
straight line., but I'm not sure that will minimize the error, or if it 
matches the underlying model (a combination of a linear trend and 
thermal effects) as well.


I suppose I could do something like do the fit on the derivative, which 
would be


y'(t) = k2 + k3*k4*exp(k4*t)

Then solve for the the k1.  In reality, I don't think I care as much 
what the numbers are (particularly the k1 DC offset) so  could probably 
just integrate (numerically)


y'()-k2-k3*k4*exp(k4*t) and get my sequence with the DC term, linear 
drift, and exponential component removed.



The fear I have is that differentiating emphasizes noise.
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Re: [time-nuts] trimble antenna connector

2013-10-04 Thread Robert Atkinson
Hi

Trimble recommend 75R CATV or similar cable for the Thunderbolt as it's lower 
loss (even with the mismatch loss to 50R it's an advantage), hence the F type 
plugs. Adaptors are cheap and available even here in the UK where the F type is 
a fairly new entry into the market. Using 75R cable with F plugs is even easier.

Robert G8RPI.




 From: Eric Garner garn...@gmail.com
To: Discussion of precise time and frequency measurement time-nuts@febo.com 
Sent: Friday, 4 October 2013, 17:38
Subject: [time-nuts] trimble antenna connector
 

why do older  thunderbolts use an F connector for the antenna? (the
current version uses a BNC).
It seems like it needlessly complicates installation at a base station.

I've always wondered this.

-- 
--Eric
_
Eric Garner
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Re: [time-nuts] trimble antenna connector

2013-10-04 Thread Björn
Hi Eric,

Because they were designed to use cheap 75ohm cable-tv/satellite cables
which usually go with F connectors. The companion Bullet antenna also have
F connector.

From the Tbolt manual

RG-59 is a 75 ohm coaxial cable. The ThunderBolt and Bullet II HE antenna
are compatible with 75 ohm cable. Compared to most 50 ohm cable, 75 ohm
cable provides superior transmissibility for the 1.5 GHz GPS signal and a
better quality cable for the price. Mismatched impedance is not a
problem.

--

 Björn

 why do older  thunderbolts use an F connector for the antenna? (the
 current version uses a BNC).
 It seems like it needlessly complicates installation at a base station.

 I've always wondered this.

 --
 --Eric
 _
 Eric Garner
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Re: [time-nuts] trimble antenna connector

2013-10-04 Thread David McGaw
They recommended using 75 ohm TV cable with F connectors as being 
low-loss and cheap.  The 50-75 ohm mismatch is negligible in this 
application.


David


On 10/4/13 12:38 PM, Eric Garner wrote:

why do older  thunderbolts use an F connector for the antenna? (the
current version uses a BNC).
It seems like it needlessly complicates installation at a base station.

I've always wondered this.



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Re: [time-nuts] exponential+linear fit

2013-10-04 Thread Marek Peca

Hello, Jim,

On Fri, 4 Oct 2013, Jim Lux wrote:


I'm trying to find a good way to do a combination exponential/linear fit (for 
baseline removal).  It's modeling phase for a moving source plus a thermal 
transient, so the underlying physics is the linear term (the phase varies 
linearly with time, since the velocity is constant) plus the temperature 
effect.


the general equation is y(t) = k1 + k2*t + k3*exp(k4*t)

Working in matlab/octave, but that's just the tool, I'm looking for some 
numerical analysis insight.

(...etc)


The control  estimation practice is to model such a disturbance as a 
response of LTI system to, in your particular case, (almost) 
deterministic excitation.


Specifically, the exp() term is a response of 1st-order lowpass 
(1/(1+s*T). The k1+k2*t is a response of double cascaded integrator 
(1/s^2). If you need to fit the model to data, the inputs to the 
subsystems should be found (inverse filtration for simple systems, 
spectral factorization and inverse filtration for the more complicated 
ones). If you don't know the T, a greybox identification should be done in 
addition.


What is interesting: the model and often also the fit methods are the same 
either for the deterministic signal (such as your y(t)), as well as for 
the stochastic signals, like colored noise. Following statements from 
optimal estimation theory, both white noise as well as Dirac (delta) 
function share some common properties w.r.t. to LTI system description, 
and it is enoiugh to describe (and fit, estimate, etc.) then with the same 
tools. (Of course, this is limited to the linear system domain, L2 
criterions etc.)


Similar matter of clock drifts have been briefly discussed in our recent 
paper, dealing with two-clock ensembling:
Clock Composition by Wiener Filtering Illustrated on Two Atomic Clocks 
(M.Peca, V.Michalek, M.Vacek) http://rtime.felk.cvut.cz/~pecam1/eftf/


In case of interest, feel free to contact me directly.

Best regards,
Marek
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Re: [time-nuts] trimble antenna connector

2013-10-04 Thread Richard Solomon
I expect because the cable that was used was RG-6 and the easiest (read: 
cheapest)

connector was the F connector.

How would you like to see your cable installer work with BNC connectors !!

73, Dick, W1KSZ


On 10/4/2013 9:38 AM, Eric Garner wrote:

why do older  thunderbolts use an F connector for the antenna? (the
current version uses a BNC).
It seems like it needlessly complicates installation at a base station.

I've always wondered this.



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Re: [time-nuts] Looking for 1 GHz low phase noise amplifier

2013-10-04 Thread Richard (Rick) Karlquist

Thanks for the info.  I wouldn't have suspected those
little gain blocks were so good, and the voltage
bias problem makes sense.

Rick

On 9/30/2013 5:53 AM, Garry Thorp wrote:

Mini-Circuits' GALI- series of InGaP MMICs work pretty well. They typically 
have ~4dB NF, and the noise performance seems to be maintained up to a couple 
of dB below 1dB compression.

I haven't measured added phase noise, but absolute phase noise measurements, 
where the MMICs are used to amplify multiplied-up crystal oscillators, appear 
to indicate added noise less than -180dBc/Hz at 10kHz offset when scaled to 
120MHz (using 20log(N) relationship).

The GALI- series are traditional MMICs that require a resistor or current 
source to bias them. We have had problems with Some TriQuint InGaP MMICs that 
are designed for voltage biasing. Noise from their internal bias circuitry 
seems to get on to the signal, and the NF started to increase well below 
compression. Mini-Circuits' GVA- series may well be similar, as they are also 
voltage-biased.

Garry Thorp


Date: Fri, 27 Sep 2013 10:53:10 -0700

From: Richard Karlquist rich...@karlquist.commailto:rich...@karlquist.com

Can anyone suggest a low phase noise amplifier covering

something like 10-1000 MHz? Gain should be 10 to 20 dB

and phase noise should be spec'ed at +10 to +13 dBm output.

Both close in and far out phase noise are of interest.

Thanks in advance.

Rick Karlquist
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Re: [time-nuts] FTS 4060 Cesium Time Frequency Standard, Datum

2013-10-04 Thread Rex

On 10/4/2013 9:41 AM, Tom Miller wrote:



Maybe someone can tell me the best way to search the time-nuts 
archive. Do you need to download all the files to a common DB?



Regards,
Tom


I usually use this for time-nuts searches...

http://www.mail-archive.com/time-nuts@febo.com/info.html

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Re: [time-nuts] exponential+linear fit

2013-10-04 Thread Joseph Gwinn
On Fri, 04 Oct 2013 14:30:40 -0400, time-nuts-requ...@febo.com wrote:
 --
 
 Message: 4
 Date: Fri, 04 Oct 2013 10:38:07 -0700
 From: Jim Lux jim...@earthlink.net
 To: Discussion of precise time and frequency measurement
   time-nuts@febo.com
 Subject: [time-nuts] exponential+linear fit
 Message-ID: 524efcff.8000...@earthlink.net
 Content-Type: text/plain; charset=ISO-8859-1; format=flowed
 
 I'm trying to find a good way to do a combination exponential/linear fit 
 (for baseline removal).  It's modeling phase for a moving source plus a 
 thermal transient, so the underlying physics is the linear term (the 
 phase varies linearly with time, since the velocity is constant) plus 
 the temperature effect.
 
 the general equation is y(t) = k1 + k2*t + k3*exp(k4*t)
 
 Working in matlab/octave, but that's just the tool, I'm looking for some 
 numerical analysis insight.
 
 I could do it in steps.. do a straight line to get k1 and k2, then fit 
 k3 k4 to the residual; or fit the exponential first, then do the 
 straight line., but I'm not sure that will minimize the error, or if it 
 matches the underlying model (a combination of a linear trend and 
 thermal effects) as well.
 
 I suppose I could do something like do the fit on the derivative, which 
 would be
 
 y'(t) = k2 + k3*k4*exp(k4*t)
 
 Then solve for the the k1.  In reality, I don't think I care as much 
 what the numbers are (particularly the k1 DC offset) so could probably 
 just integrate (numerically)
 
 y'()-k2-k3*k4*exp(k4*t) and get my sequence with the DC term, linear 
 drift, and exponential component removed.
 
 
 The fear I have is that differentiating emphasizes noise.

How many measured data points do you have?  If you have enough data, 
you can use the MatLab nlinfit() (nonlinear fit) function to fit the 
data directly to the y(t) equation.

Because nlinfit uses a least-squares approach, and there are many 
coefficients to be found, a reasonable starting point is required.  The 
fit on the derivative, while probably too noisy to yield a useful final 
answer, would be one way to get some of the initial values.

I did just this recently, fitting a skew gaussian pdf to a histogram, 
using rough mean, standard deviation, and skewness computed from the 
histogram to seed nlinfit.  The mean, standard deviation, and skewness 
computed from the histogram are famously inaccurate if there is 
significant skew, but it was still good enough to keep nlinfit from 
getting lost.

Joe Gwinn
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Re: [time-nuts] GPSDO choices

2013-10-04 Thread Al Wolfe

Paul,
   I picked up a TrueTime XL-AK for under $200 on eBay a couple of years 
ago. Advertised at better than 1 x 10 -12. RS232 interface and 1 PPS out as 
well as 10 mhz out and many options. Seems to work well with any of the 5 
volt antennas I've used.


   One rack unit high.

   Have been quite happy with it but then, maybe I don't know any better.

Al Wolfe




I'm looking for a new, ready to go, inexpensive desktop GPSDO.  So
far I've only found the Fury and Thunderbolt E.

Are there other reasonable choices e.g. the J R Miller (although I'm
not sure there's a source of new TU-30 parts).

Thanks.

--
Paul

*Say  $2k


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Re: [time-nuts] trimble antenna connector

2013-10-04 Thread Tom Miller
You might TDR an F connector splice once. the F connectors are really pretty 
good.


Tom


- Original Message - 
From: Richard Solomon w1...@earthlink.net

To: time-nuts@febo.com
Sent: Friday, October 04, 2013 3:26 PM
Subject: Re: [time-nuts] trimble antenna connector


I expect because the cable that was used was RG-6 and the easiest (read:
cheapest)
connector was the F connector.

How would you like to see your cable installer work with BNC connectors !!

73, Dick, W1KSZ


On 10/4/2013 9:38 AM, Eric Garner wrote:

why do older  thunderbolts use an F connector for the antenna? (the
current version uses a BNC).
It seems like it needlessly complicates installation at a base station.

I've always wondered this.



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Re: [time-nuts] exponential+linear fit

2013-10-04 Thread Jim Lux

On 10/4/13 1:18 PM, Joseph Gwinn wrote:

On Fri, 04 Oct 2013 14:30:40 -0400, time-nuts-requ...@febo.com wrote:

--

Message: 4
Date: Fri, 04 Oct 2013 10:38:07 -0700
From: Jim Lux jim...@earthlink.net
To: Discussion of precise time and frequency measurement
time-nuts@febo.com
Subject: [time-nuts] exponential+linear fit
Message-ID: 524efcff.8000...@earthlink.net
Content-Type: text/plain; charset=ISO-8859-1; format=flowed

I'm trying to find a good way to do a combination exponential/linear fit
(for baseline removal).  It's modeling phase for a moving source plus a
thermal transient, so the underlying physics is the linear term (the
phase varies linearly with time, since the velocity is constant) plus
the temperature effect.

the general equation is y(t) = k1 + k2*t + k3*exp(k4*t)

Working in matlab/octave, but that's just the tool, I'm looking for some
numerical analysis insight.

I could do it in steps.. do a straight line to get k1 and k2, then fit
k3 k4 to the residual; or fit the exponential first, then do the
straight line., but I'm not sure that will minimize the error, or if it
matches the underlying model (a combination of a linear trend and
thermal effects) as well.

I suppose I could do something like do the fit on the derivative, which
would be

y'(t) = k2 + k3*k4*exp(k4*t)

Then solve for the the k1.  In reality, I don't think I care as much
what the numbers are (particularly the k1 DC offset) so could probably
just integrate (numerically)

y'()-k2-k3*k4*exp(k4*t) and get my sequence with the DC term, linear
drift, and exponential component removed.


The fear I have is that differentiating emphasizes noise.


How many measured data points do you have?  If you have enough data,
you can use the MatLab nlinfit() (nonlinear fit) function to fit the
data directly to the y(t) equation.



I'm removing a slowly varying bias term from fairly noisy data.  Maybe 
several 10s of thousands of data points,

And I want to do it quickly on a slow processor.





Because nlinfit uses a least-squares approach, and there are many
coefficients to be found, a reasonable starting point is required.  The
fit on the derivative, while probably too noisy to yield a useful final
answer, would be one way to get some of the initial values.


I've done that and it works.. but I'm looking for a more basic sort of 
approach, given that I actually know something about the underlying model.




I did just this recently, fitting a skew gaussian pdf to a histogram,
using rough mean, standard deviation, and skewness computed from the
histogram to seed nlinfit.  The mean, standard deviation, and skewness
computed from the histogram are famously inaccurate if there is
significant skew, but it was still good enough to keep nlinfit from
getting lost.





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Re: [time-nuts] exponential+linear fit

2013-10-04 Thread Alan Melia
Hi Joe that sounds like a system I was thinking of suggesting to Jim. I 
wrote some iterative code on a time share bureau machine in the late60s. 
make a guess at kx values and let the prog spit out k values for a dk/dt 
minimum then chose another set of starters an see if it finishes in the 
same place. A given local minimum may not be the lowest. Its crude but very 
effective. My boss didnt believe it and employed a mathematician who did not 
understand the physics to get it wrong ! this was fitting to similar type 
equation an Arhennius equation (if I remembered how to spell him :-))


A friendly mathematician called it the BFI technique

Alan
G3NYK


- Original Message - 
From: Joseph Gwinn joegw...@comcast.net

To: time-nuts@febo.com
Sent: Friday, October 04, 2013 9:18 PM
Subject: Re: [time-nuts] exponential+linear fit



On Fri, 04 Oct 2013 14:30:40 -0400, time-nuts-requ...@febo.com wrote:

--

Message: 4
Date: Fri, 04 Oct 2013 10:38:07 -0700
From: Jim Lux jim...@earthlink.net
To: Discussion of precise time and frequency measurement
time-nuts@febo.com
Subject: [time-nuts] exponential+linear fit
Message-ID: 524efcff.8000...@earthlink.net
Content-Type: text/plain; charset=ISO-8859-1; format=flowed

I'm trying to find a good way to do a combination exponential/linear fit
(for baseline removal).  It's modeling phase for a moving source plus a
thermal transient, so the underlying physics is the linear term (the
phase varies linearly with time, since the velocity is constant) plus
the temperature effect.

the general equation is y(t) = k1 + k2*t + k3*exp(k4*t)

Working in matlab/octave, but that's just the tool, I'm looking for some
numerical analysis insight.

I could do it in steps.. do a straight line to get k1 and k2, then fit
k3 k4 to the residual; or fit the exponential first, then do the
straight line., but I'm not sure that will minimize the error, or if it
matches the underlying model (a combination of a linear trend and
thermal effects) as well.

I suppose I could do something like do the fit on the derivative, which
would be

y'(t) = k2 + k3*k4*exp(k4*t)

Then solve for the the k1.  In reality, I don't think I care as much
what the numbers are (particularly the k1 DC offset) so could probably
just integrate (numerically)

y'()-k2-k3*k4*exp(k4*t) and get my sequence with the DC term, linear
drift, and exponential component removed.


The fear I have is that differentiating emphasizes noise.


How many measured data points do you have?  If you have enough data,
you can use the MatLab nlinfit() (nonlinear fit) function to fit the
data directly to the y(t) equation.

Because nlinfit uses a least-squares approach, and there are many
coefficients to be found, a reasonable starting point is required.  The
fit on the derivative, while probably too noisy to yield a useful final
answer, would be one way to get some of the initial values.

I did just this recently, fitting a skew gaussian pdf to a histogram,
using rough mean, standard deviation, and skewness computed from the
histogram to seed nlinfit.  The mean, standard deviation, and skewness
computed from the histogram are famously inaccurate if there is
significant skew, but it was still good enough to keep nlinfit from
getting lost.

Joe Gwinn
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Re: [time-nuts] exponential+linear fit

2013-10-04 Thread Alan Melia
Jim it may not be helpful but had you thoughtof expanding the exponential as 
the first few terms of an infinite series to see if it simplifies fitting?


Alan
G3NYK

- Original Message - 
From: Jim Lux jim...@earthlink.net

To: time-nuts@febo.com
Sent: Friday, October 04, 2013 10:16 PM
Subject: Re: [time-nuts] exponential+linear fit



On 10/4/13 1:18 PM, Joseph Gwinn wrote:

On Fri, 04 Oct 2013 14:30:40 -0400, time-nuts-requ...@febo.com wrote:

--

Message: 4
Date: Fri, 04 Oct 2013 10:38:07 -0700
From: Jim Lux jim...@earthlink.net
To: Discussion of precise time and frequency measurement
time-nuts@febo.com
Subject: [time-nuts] exponential+linear fit
Message-ID: 524efcff.8000...@earthlink.net
Content-Type: text/plain; charset=ISO-8859-1; format=flowed

I'm trying to find a good way to do a combination exponential/linear fit
(for baseline removal).  It's modeling phase for a moving source plus a
thermal transient, so the underlying physics is the linear term (the
phase varies linearly with time, since the velocity is constant) plus
the temperature effect.

the general equation is y(t) = k1 + k2*t + k3*exp(k4*t)

Working in matlab/octave, but that's just the tool, I'm looking for some
numerical analysis insight.

I could do it in steps.. do a straight line to get k1 and k2, then fit
k3 k4 to the residual; or fit the exponential first, then do the
straight line., but I'm not sure that will minimize the error, or if it
matches the underlying model (a combination of a linear trend and
thermal effects) as well.

I suppose I could do something like do the fit on the derivative, which
would be

y'(t) = k2 + k3*k4*exp(k4*t)

Then solve for the the k1.  In reality, I don't think I care as much
what the numbers are (particularly the k1 DC offset) so could probably
just integrate (numerically)

y'()-k2-k3*k4*exp(k4*t) and get my sequence with the DC term, linear
drift, and exponential component removed.


The fear I have is that differentiating emphasizes noise.


How many measured data points do you have?  If you have enough data,
you can use the MatLab nlinfit() (nonlinear fit) function to fit the
data directly to the y(t) equation.



I'm removing a slowly varying bias term from fairly noisy data.  Maybe 
several 10s of thousands of data points,

And I want to do it quickly on a slow processor.





Because nlinfit uses a least-squares approach, and there are many
coefficients to be found, a reasonable starting point is required.  The
fit on the derivative, while probably too noisy to yield a useful final
answer, would be one way to get some of the initial values.


I've done that and it works.. but I'm looking for a more basic sort of 
approach, given that I actually know something about the underlying model.




I did just this recently, fitting a skew gaussian pdf to a histogram,
using rough mean, standard deviation, and skewness computed from the
histogram to seed nlinfit.  The mean, standard deviation, and skewness
computed from the histogram are famously inaccurate if there is
significant skew, but it was still good enough to keep nlinfit from
getting lost.





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Re: [time-nuts] exponential+linear fit

2013-10-04 Thread Marek Peca

Dear Jim,

I'm removing a slowly varying bias term from fairly noisy data.  Maybe 
several 10s of thousands of data points,

And I want to do it quickly on a slow processor.


I think the LTI framework should work very well for that; easy fixpoint 
implementation etc.


Since I am a space fan, I'd be happy to try my tools. Would you like to 
send me the data?


I've done that and it works.. but I'm looking for a more basic sort of 
approach, given that I actually know something about the underlying model.


One example of such an estimator (working real-time), which I did in 2008:
http://www.youtube.com/watch?v=Di4yG6ZRV3k

Only the exp() term is missing here, the rest is same -- and besides the 
position and heading, it contains also 2nd order clock estimation -- 
similar way as in the GNSS.



Best regards,
Marek
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Re: [time-nuts] exponential+linear fit (Joseph Gauthier)

2013-10-04 Thread Joseph Gauthier
You might like this free MATLAB toolbox: 
http://www.mathworks.com.au/matlabcentral/fileexchange/24443-slm-shape-language-modeling

Once you figure out how to use it, it works very well for all types of fits.
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Re: [time-nuts] A man with two clocks...

2013-10-04 Thread Max Robinson
Still laughing.  Actually I did it aurally.  The GPS clock announces the 
time on the hour with a series of beeps similar to the old BBC time and the 
WWVB clock has an alarm which I can set to sound on the hour.  The time 
interval is an estimation.  Someday I will use a microphone connected to a 
storage  oscilloscope to figure out what the difference is.


Regards.

Max.  K 4 O DS.

Email: m...@maxsmusicplace.com

Transistor site http://www.funwithtransistors.net
Vacuum tube site: http://www.funwithtubes.net
Woodworking site 
http://www.angelfire.com/electronic/funwithtubes/Woodworking/wwindex.html

Music site: http://www.maxsmusicplace.com

To subscribe to the fun with transistors group send an email to.
funwithtransistors-subscr...@yahoogroups.com

To subscribe to the fun with tubes group send an email to,
funwithtubes-subscr...@yahoogroups.com

To subscribe to the fun with wood group send a blank email to
funwithwood-subscr...@yahoogroups.com

- Original Message - 
From: Tom Knox act...@hotmail.com

To: Time-Nuts time-nuts@febo.com
Sent: Thursday, October 03, 2013 1:46 PM
Subject: Re: [time-nuts] A man with two clocks...


It is all a matter of proper placement, now I know you are expecting a 
tirade on propagation delay and antenna placement and cable length. But 
actually my thought is to place them far enough apart with the WWV clock 
in front of your and your GPS at a 12-15 degree angle so it takes 0.2 
second to look from one to the other.


Thomas Knox




From: david-tay...@blueyonder.co.uk
To: time-nuts@febo.com
Date: Thu, 3 Oct 2013 19:22:04 +0100
Subject: Re: [time-nuts] A man with two clocks...

Among my time nut toys is a Consumer grade GPS clock and a similar WWVB
clock.  The WWVB clock consistently runs about 0.2 seconds ahead of the 
GPS
one.  I know no one can say why without knowing the particulars of the 
two

clock's circuits.  Just thought I'd post it for what it's worth.

Regards.

Max.  K 4 O DS.
===

Max,

I see similar things here.  I've always put it down to relatively poor
circuitry in the radio clock, which is why I built my NTP-controlled wall
clock!

  http://www.satsignal.eu/raspberry-pi/DigitalClock.html

One radio clock is below.  That particular MSF clock is actually not too
bad - visibly it's in sync with the NTP clock (which itself is within a 
few

microseconds of GPS time).

73,
David GM8ARV
--
SatSignal Software - Quality software written to your requirements
Web: http://www.satsignal.eu
Email: david-tay...@blueyonder.co.uk

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