Re: [time-nuts] low power divide by 5

2020-06-30 Thread dschuecker

Hi,

a divide by five should possible with a synchronous state-machine made 
of 3 ( sufficiently fast-) JK-FlipFlops.


All 3 FFs are clocked with the input freq. , the outputs of the FFs are 
fed back to the the JK-inputs,  the divided freq. is output of one of 
the FFs.


Additional constraints: no external ANDs or ORs or NOTs, the 
state-machine does not get stuck in the 3 unused states.


This turned out to be a very interesting problem and I do not yet come 
up with a solution. Maybe there is none. Analytical solutions all 
failed, I will try a brute force enumeration attack tomorrow.


lots of fun !

Cheers

Detlef



Am 30.06.2020 um 08:37 schrieb Hal Murray:

You might try the 74AC161, which works to 73MHz at 3.3V or 103 MHz at 5V, -40
to 85C.
Set the data inputs to DCBA = 1011 and connect an inverter from the carry
output (pin 15) to the Load input (pin 9) to divide by 5. See http://
www.techlib.com/electronics/74161Divider.htm

You didn't read the data sheet carefully enough.  That 73 MHz is the bragging
number for sales people, often not useful.  For something like this, you need
to add the clock-to-out for the ripple carry, prop time through inverter, and
setup time at the load input.

I was going to ask whether 73MHz included the delay through the inverter, but
it's much worse than that.  The clock to out on the RCO pin is 21 ns.  Even
without the inverter, it won't make 50 MHz.

You can save a few ns if you use a FF with inverting output instead of an
inverter.  That adds a pipeline stage so you have to adjust the constant that
gets loaded.  Setup time on a 3V AC74 is 4.3 ns which gets to 40 MHz (actually
only 39.5).

At 5V,
   AC161 clk-RCO is 15.2
   AC74 setup is 3.1
So that works - 54.6 MHz.

Using an inverter:
   AC161 clk-RCO is 15.2
   AC04 prop 5.9
   AC161 setup 5.3
That's 37.9 MHz

(That's all assuming I didn't fatfinger anything.)

I like Richard Karlquist's trick of using a data bit to reload.
Unfortunately, for the AC161, the data out isn't significantly faster than the
carry out.

If I did the numbers correctly, that's 35 MHz at 3.3V and 49.3 MHz at 5V.










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Re: [time-nuts] low power divide by 5

2020-07-01 Thread dschuecker

hm,

first example of divide by 5 needs an additional AND, second example 
gets stuck in an unused state :(


Cheers

Detlef

Am 01.07.2020 um 02:14 schrieb David:

Here's a web page with several JK flip-flop dividers, including divide
by 5:

http://www.play-hookey.com/digital/counters/frequency_dividers.html

Dave

On 2020-06-30 15:47, dschuecker wrote:


Hi,

a divide by five should possible with a synchronous state-machine made of 3 ( 
sufficiently fast-) JK-FlipFlops.

All 3 FFs are clocked with the input freq. , the outputs of the FFs are fed 
back to the the JK-inputs,  the divided freq. is output of one of the FFs.

Additional constraints: no external ANDs or ORs or NOTs, the state-machine does 
not get stuck in the 3 unused states.

This turned out to be a very interesting problem and I do not yet come up with 
a solution. Maybe there is none. Analytical solutions all failed, I will try a 
brute force enumeration attack tomorrow.

lots of fun !

Cheers

Detlef

Am 30.06.2020 um 08:37 schrieb Hal Murray: You might try the 74AC161, which 
works to 73MHz at 3.3V or 103 MHz at 5V, -40
to 85C.
Set the data inputs to DCBA = 1011 and connect an inverter from the carry
output (pin 15) to the Load input (pin 9) to divide by 5. See http://
www.techlib.com/electronics/74161Divider.htm [1] You didn't read the data sheet 
carefully enough.  That 73 MHz is the bragging
number for sales people, often not useful.  For something like this, you need
to add the clock-to-out for the ripple carry, prop time through inverter, and
setup time at the load input.

I was going to ask whether 73MHz included the delay through the inverter, but
it's much worse than that.  The clock to out on the RCO pin is 21 ns.  Even
without the inverter, it won't make 50 MHz.

You can save a few ns if you use a FF with inverting output instead of an
inverter.  That adds a pipeline stage so you have to adjust the constant that
gets loaded.  Setup time on a 3V AC74 is 4.3 ns which gets to 40 MHz (actually
only 39.5).

At 5V,
AC161 clk-RCO is 15.2
AC74 setup is 3.1
So that works - 54.6 MHz.

Using an inverter:
AC161 clk-RCO is 15.2
AC04 prop 5.9
AC161 setup 5.3
That's 37.9 MHz

(That's all assuming I didn't fatfinger anything.)

I like Richard Karlquist's trick of using a data bit to reload.
Unfortunately, for the AC161, the data out isn't significantly faster than the
carry out.

If I did the numbers correctly, that's 35 MHz at 3.3V and 49.3 MHz at 5V.

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Links:
--
[1] http://www.techlib.com/electronics/74161Divider.htm
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Re: [time-nuts] David Allan amusing notes on ADEV, MDEV, TDEV etc.

2020-11-29 Thread dschuecker

Hi,

I managed to obtain the Lighthill book 'Introduction to Fourier Analysis 
and Generalised Functions' and I scanned it. It provides a different 
look on Fourier Analysis. Feel free to download it from my private 
cloud: dschuecker.dyndns.org name/pw guest1


have fun.

Cheers

Detlef

Am 07.10.2020 um 12:05 schrieb Magnus Danielson:

Hi,

I found this little text that may be an amusing read on how ADEV and
MDEV came to be among other things.

https://ethw.org/w/images/5/5f/Allan_OH_-_MVAR_TVAR_and_OptimumPrediction.pdf

The Lighthill book is very important little thing, which few seems to
know. It works on Fourier transform quite differently than any
other book on Fourier transforms I've seen. It is not meant as a strict
book, but a book to help students on their way, and it did help Jim and
Dave in their studies for sure.

Similarly the Snyder pre-cursor to MDEV seems to be read by few. It
provides the necessary sqrt(N) improvement as achieved with overlapping
frequency estimations.

Cheers,
Magnus



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Re: [time-nuts] David Allan amusing notes on ADEV, MDEV, TDEV etc.

2020-11-30 Thread dschuecker

Hi,

I managed to obtain the Lighthill book 'Introduction to Fourier Analysis 
and Generalised Functions' and I scanned it. It provides a different 
look on Fourier Analysis. Feel free to download it from my private cloud:


ftp://dschuecker.dyndns.org/Lighthill_Introduction_to_Fourier_Analysis_and_generalised_functions.pdf 



name/pw guest1

have fun.

Cheers



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[time-nuts] Re: Complex PLL

2021-03-22 Thread dschuecker

Hi,




In the code you sent you used a division for phase detection as far as I
can tell.

Yes, but it is the Matlab model code, so I dont care about division. In 'real 
life' I multiply with the conjugate complex value. It has the same angle and 
different length, but I normalize anyway.

And the 'atan' is always 'atan2', sure.

For a non-complex PLL I beat down to zero the angle of the phase discriminator.
In this complex PLL I beat down to zero the imaginary part of the quotient.

Another very interesting detail: The carrier I pll on is at 2400Hz, I have to 
demodulate with a synched 1800Hz. This means that I have to find the complex 
value which has 3/4 of the angle without atan/cos/sin, sqrt is ok.

This C-Code does the trick:
cpl4.re=sqrt((1.0+cpl3.re)/2.0f);
cpl4.im=sqrt((1.0-cpl3.re)/2.0f);
cpl5.re=sqrt((1.0+cpl4.re)/2.0f);
cpl5.im=sqrt((1.0-cpl4.re)/2.0f);
CMUL(cpl5,cpl5,cpl4);
CMUL(cpl4,cpl5,cpl3);
CROT(T3,cpl3);

much fun !
Math rulez !
Cheers
Detlef

Am 19.03.2021 um 13:23 schrieb Magnus Danielson:

Hi,

On 2021-03-18 13:59, Detlef Schuecker via time-nuts wrote:

Hi,

yes, got it, I think, thanks.

I calculate the complex quotient of the incoming complex signal and the
local complex oscillator. I feed the imaginary part of the quotient to the
PI controller, thus forcing it to zero. The local oscillator is updated by
multiplying it with ( real(quotient)+j*PIOutput ). Forcing the imaginary
part of the quotient to zero means that incoming signal and local
oscillator are in phase.

See Matlab code and the image.
No atan/cos/sin, just mere multiplication :))

In the code you sent you used a division for phase detection as far as I
can tell.

The modeling approach you used is different enough that it took some
time to decode it, and maybe I would have used a different set of
variable names, but that's more me than the model.

I often use a phase-accumulator / integrator to model (and synthesize)
in PLL simulations.

Anyway, good that you are on track. Once you have that basic I think you
can quickly enough vary the theme.

You could move over from imag to real and it would only change subtly.

Cheers,
Magnus


Thanks

Cheers
Detlef Schücker
DD4WV

clear
n=1;
T1=0;
T2=0.01;
s0=exp(j*2*pi*200*(0:n-1)/n);
s1=zeros(1,n);
s2=zeros(1,n);
s3=zeros(1,n);
for(k=1:n)
  s1(k)=(s0(k)/T2);
  T1=T1+imag(s1(k))/4000;
  s2(k)=0.03*imag(s1(k))+T1;
  s3(k)=T2;
  T2=T2*(real(s1(k))+j*s2(k));
  
end;

plot(1:n,real(s3),'b.-',1:n,real(s0),'r.-')
return





"Magnus Danielson"  schrieb am 17.03.2021 19:20:49:


Von: "Magnus Danielson" 
An: time-nuts@lists.febo.com
Datum: 17.03.2021 19:59
Betreff: [time-nuts] Re: Complex PLL

Hi,

On 2021-03-17 17:20, Detlef Schuecker via time-nuts wrote:

Hi time-nuts,

a PLL takes the phase difference of the incoming signal and the
synthesized signal and feeds that in a loop filter. The output of the

loop

filter is used to steer the local oscillator.

In my setup I have an incoming complex signal and my local oscillator

is

generating a complex signal as well. So calculation of the phase
difference is just the quotient of the incoming signal and the local
oscillator, it is a sampled system. I take the quotient, calculate the
angle using the atan function and then I feed it in the loop filter, a

PI

controller. The output of the loop filter is converted to a complex

phase

increment for the local oscillator with the sin and cos function.

Now I have to get rid of the atan, cos and sin functions.

I am looking for a loop filter which takes the quotient of the
incoming/synthesized signal as a complex value. The output of this

loop

filter should be the phase increment for the local oscillator. It

should

not use the angle of the complex value explicitly, as this will

involve

the atan/cos/sin functions.

Is someone aware of such a loop filter? I surfed through Gardners'
'Phaselock Techniques' but did not find a hint.

That book is full of hints. Costas loop is one. Actually, you could just
do complex multiplication and only use the real output (and thus remove
half the complex multiplication) and use that output of the
multiplication as input to normal PI-regulator, that will lock up and
achieve everything you want. You can then also remove the sine with a
squarewave. There is some benefits and losses in doing that, which may
or may not be relevant.

There is a richness of complex detectors to be found in GPS literature,
such as that of "Understanding GPS principles and applications" of
Kaplan and Hegarty. You can also look at "Phase-locked loop circuit
design" by Wolaver for additional inspiration. You end up finding that
Garners' book is actually very comprehensive if you only take time to
dwell into it.

Let me know if you need more hints.

Cheers and 73,
Magnus SA0MAD
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[time-nuts] Re Another reason to monitor line frequency

2022-01-19 Thread dschuecker

Hi,

here in Germany police is recording line frequency since 2010, just as I 
do :).


https://en.wikipedia.org/wiki/Electrical_network_frequency_analysis

https://de.wikipedia.org/wiki/Netzfrequenz_als_Grundlage_f%C3%BCr_forensische_Analysen

Don't know if they brought someone to jail with this.

With newer audio equipment you should get lower hum levels. I do not 
think that you find any harmonics of 50Hz or 60Hz for, say the audio 
track of a youtube video, I never tried, though. For my audio tape 
recorder of the 1970s you will surely get a hum signature.


Maybe there is also a chance to find the hum in the brightness of the 
video signal.


There are other strange aspects on grid frequency: for the first 15min 
of some hours of the day grid frequency is systematic high or low. This 
has to do with the spot market trade period of 15 min and a systematic 
over/underestimate of the demand/production. A too high demand brings 
grid frequency down and vice versa.


Cheers

Detlef

Am 19.01.2022 um 12:31 schrieb Hal Murray:

The hidden background noise that can catch criminals
https://www.youtube.com/watch?v=e0elNU0iOMY
5 1/2 minutes.

He's good in a geeky sort of way. Time sink warning.

Why European Clocks are Running Slow, and British Clocks Aren't
https://www.youtube.com/watch?v=bij-JjzCa7o
4 minutes

Here is his rant on time zones. :)

The Problem with Time & Timezones - Computerphile
https://www.youtube.com/watch?v=-5wpm-gesOY
10 minutes.




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