From: Phil Hobbs on
Paul Keinanen wrote:
> On Tue, 06 Jul 2010 09:52:43 -0700, Tim Wescott <tim(a)seemywebsite.com>
> wrote:
>
>> On 07/06/2010 09:10 AM, Daku wrote:
>>> On Jul 5, 8:59 pm, Tim Wescott<t...(a)seemywebsite.com> wrote:
>>>> I'd hardly call 60Hz "ultra low frequency". But it is pretty darned low.
>>>>
>>>> All the suggestions you've gotten so far are good as far as they go and
>>>> may well be perfect -- but what are you trying to do? Do you need sine
>>>> wave out or square? If sine wave, how pure? Do you have any
>>>> specifications on jitter, phase noise, or frequency accuracy?
>>> I am trying to design a PLL for very low frequencies, e.g., power line
>>> grid.
>>> I am concerned with the VCO as it is a crucial sub-circuit. I am
>>> aiming for
>>> a phase noise of approximately -100 dBc/Hz but not very sure of the
>>> offset
>>> frequency. Ideally, I would like to have frequency accuracy of 1 - 5%
>>> at most.
>>> Also, I am aware that S-parameter methods are not appropriate at these
>>> low
>>> frequencies.
>
> If you want to track the _actual_ mains frequency, just use a mains
> driven synchronous motor. To get the noise sidebands down, use some
> flywheels :-).
>
>> I think that those specs would be difficult to achieve with an
>> all-analog oscillator running at 60Hz. Not impossible -- I could do it,
>> and Joerg could do it in a fraction of the time I'd take. Using some
>> sort of direct digital synthesis -- even if it's just a microprocessor
>> -- running off of a crystal reference would be almost trivial in
>> comparison and would probably take less board space and would be far
>> more repeatable in manufacturing.
>>
>> If you just had to do this purely in the analog domain your best bet
>> might be a pair of crystal oscillators, frequency steered with
>> varactors, carefully built, and with their outputs mixed down to 60Hz.
>> But that's a solution I would expect to see in a bit of kit from the
>> 50's through the 80's -- anything later and I'd expect to see a DDS.
>
> Just a few minutes ago, the Nordel AC network (Danish isles, Finland,
> Norway, Sweden) was running at 50.11 Hz or +2200 ppm above nominal in
> order to allow the mains synchronized clocks to catch up.
>
> A simple fundamental frequency VXCO can be pulled about +/-100 ppm
> with the load capacitance. About 1000 ppm is the maximum with
> adjustable serial inductance and adjustable parallel load capacitance
> at the crystal.
>
> At 50/60 Hz, even a trivial processor can generate a variable
> frequency sine wave using the NCO (Numerically Controlled Oscillator)
> principle to generate a sine wave, which can be locked to the incoming
> signal in some loop configuration.
>
> Even a trivial processor might be able to generate both sine and
> cosine waveforms for 49.98, 50.00. 50.92 Hz etc. in parallel and
> performing a phase comparison between all these in parallel to
> determine the best match.
>

I don't know that -100 dBc/Hz is that hard at 60 Hz. I bet you could do
that by running a bog standard multivibrator at 1024*1024*60 Hz and
dividing down. You'd need a sine shaper, but the phase noise goes down
by N**2, so you'd get 100 dB improvement just from that. Alternatively,
you could make an LC VCO and divide that down.

You might even be able to do it with all analog--the OPA378 has 20
nV/sqrt(Hz) all the way down to DC. With a 5V sine wave at 60 Hz,
that's something like 1800 V/s, so 20 nV gives you something like 10
picoseconds per root hertz. You probably lose a factor of sqrt(2) in
there, but that ought to be good enough. Your ALC network would
contribute more than that, almost for sure.

Cheers

Phil Hobbs

--
Dr Philip C D Hobbs
Principal
ElectroOptical Innovations
55 Orchard Rd
Briarcliff Manor NY 10510
845-480-2058
hobbs at electrooptical dot net
http://electrooptical.net
From: Phil Hobbs on
Phil Hobbs wrote:

> I don't know that -100 dBc/Hz is that hard at 60 Hz. I bet you could do
> that by running a bog standard multivibrator at 1024*1024*60 Hz and
> dividing down. You'd need a sine shaper, but the phase noise goes down
> by N**2, so you'd get 100 dB improvement just from that. Alternatively,
> you could make an LC VCO and divide that down.

120 dB. Can't count today.

Cheers

Phil Hobbs

--
Dr Philip C D Hobbs
Principal
ElectroOptical Innovations
55 Orchard Rd
Briarcliff Manor NY 10510
845-480-2058
hobbs at electrooptical dot net
http://electrooptical.net
From: JosephKK on
On Thu, 08 Jul 2010 15:37:28 -0400, Phil Hobbs
<pcdhSpamMeSenseless(a)electrooptical.net> wrote:

>Phil Hobbs wrote:
>
>> I don't know that -100 dBc/Hz is that hard at 60 Hz. I bet you could do
>> that by running a bog standard multivibrator at 1024*1024*60 Hz and
>> dividing down. You'd need a sine shaper, but the phase noise goes down
>> by N**2, so you'd get 100 dB improvement just from that. Alternatively,
>> you could make an LC VCO and divide that down.
>
>120 dB. Can't count today.
>
>Cheers
>
>Phil Hobbs

Sure, you can mathematically "predict" it, but how do you measure it?
Or do you switch to another metric which can be both predicted and
measured?
From: Phil Hobbs on
On 7/9/2010 8:59 AM, JosephKK wrote:
> On Thu, 08 Jul 2010 15:37:28 -0400, Phil Hobbs
> <pcdhSpamMeSenseless(a)electrooptical.net> wrote:
>
>> Phil Hobbs wrote:
>>
>>> I don't know that -100 dBc/Hz is that hard at 60 Hz. I bet you could do
>>> that by running a bog standard multivibrator at 1024*1024*60 Hz and
>>> dividing down. You'd need a sine shaper, but the phase noise goes down
>>> by N**2, so you'd get 100 dB improvement just from that. Alternatively,
>>> you could make an LC VCO and divide that down.
>>
>> 120 dB. Can't count today.
>>
>> Cheers
>>
>> Phil Hobbs
>
> Sure, you can mathematically "predict" it, but how do you measure it?
> Or do you switch to another metric which can be both predicted and
> measured?

Let's keep the math bashing to the other thread, okay?

Although it isn't highly relevant to the OP's problem, it wouldn't be
very difficult to measure the residual FM--use MOSFET buffers to drive
two divider strings running from independent power supplies, and
cross-correlate their outputs, exchanging them periodically to get rid
of the drift in the correlator. For the correlator design, see Hanbury
Brown and Twiss, circa 1963--and they did it with discrete bipolars.

There are hard measurements, but this isn't one of them.

Cheers

Phil Hobbs


--
Dr Philip C D Hobbs
Principal
ElectroOptical Innovations
55 Orchard Rd
Briarcliff Manor NY 10510
845-480-2058
hobbs at electrooptical dot net
http://electrooptical.net
From: whit3rd on
On Jul 8, 12:29 pm, Phil Hobbs
<pcdhSpamMeSensel...(a)electrooptical.net> wrote:

> I don't know that -100 dBc/Hz is that hard at 60 Hz.  I bet you could do
> that by running a bog standard multivibrator at 1024*1024*60 Hz and
> dividing down.  You'd need a sine shaper, but the phase noise goes down
> by N**2

Eh? I'd think it's N**0.5 (the multivibrator has cumulative but
random errors).
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