[time-nuts] time-nuts Frequency Divider

Bruce Griffiths bruce.griffiths at xtra.co.nz
Fri Apr 3 00:55:04 UTC 2009


Mike

Its well worthwhile estimating the additional jitter due to this effect
when using such a circuit to square up the output of an OCXO:

If the input signal characteristics are:

Frequency 10MHz
Amplitude at the gate input:  A = 1.4V pk
Threshold mismatch             Vt  =   1V
AM noise:                             Am = -120dBc/Hz
Input signal AM noise bandwidth: BW = 1MHz (eg a low Q bandpass filter).

Rms Output jitter due to AM noise is given by

delta(t) ~ (1/(2*PI*f))*((Vt/A)/(1 + (Vt/A)*(Vt/A)))*(BW*1)^(Am/20))

i.e.  
delta(t) ~ 0.5*1.6E-8 *(1E-3) sec
~ 8ps rms.

Wideband AM noise as high as -120dBc/Hz is somewhat higher than is
typical for a good OCXO.

Thus in applications such as a PPS divider this effect is probably
insignificant.
However it may be useful to use a low Q bandpass filter to limit the
integrated AM and PM noise seen at the gate input.

Bruce


Mike Monett wrote:
>   > Message: 3
>   > Date: Fri, 03 Apr 2009 09:04:59 +1300
>   > From: Bruce Griffiths <bruce.griffiths at xtra.co.nz>
>   > Subject: Re: [time-nuts] Frequency Divider
>
>   > Hal Murray wrote:
>
>   >>> A large  resistor connected between the input  and  output would
>   >>> accommodate threshold variations better. Even better would  be a
>   >>> feedback loop that adjusts the input bias point to  maintain the
>   >>> output duty cycle at 50%.
>
>   >> Isn't that resistor a feedback loop?
>
>   >> I played  with  that setup in the lab many years  ago.  It didn't
>   >> work as  well  as  I was expecting. I didn't  figure  out  why it
>   >> didn't work better.
>
>   >> Maybe some gain in the feedback path would help. Then we  have to
>   >> consider stability. Ugh.
>
>   > Hal
>
>   > Yes, a  resistor  connected  between the input  and  output  of an
>   > inverter is a feedback loop but the loop gain is relatively low.
>
>   > With a high amplitude input threshold variations from  the nominal
>   > can cause the input protection diodes to conduct.
>
>   > Once these  diodes  conduct   the  output  jitter  may deteriorate
>   > significantly (it does for HCMOS inverters).
>
>   > Using a  non  inverting   integrator   in  the  feedback  path can
>   > accurately stabilise the duty cycle.
>
>   > Bruce
>
>   The 74HC  and 74AC input threshold tolerance is +/- 30%.  This means
>   the threshold can vary from 1.5V to 3.5V with a Vcc of 5V.
>
>   This limits  the  maximum input signal to 3V  p-p  or  +13.5dBm, and
>   leads to  a very subtle flaw discovered in some  amazing engineering
>   work by Martein Bakker, PA3AKE.
>
>   If the threshold is not controlled, it can cause AM noise to convert
>   to PM  noise  and  degrade the jitter.  This  occurs  in  the Analog
>   Devices AD9910 1GHz DDS chip.
>
>   Martein Bakker  discovered  this in his  noise  analysis,  and Kevin
>   Wheatly gave a nice entry in his blog on how to fix it:
>
>   http://www.m0khz.com/?p=589
>
>   Mike
>
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