On 04/17/2011 09:13 PM, Bruce Griffiths wrote:
As long as the divisor isnt too large such behaviour doesnt happen.
When the divisor is too large and the filters detune too far then stable
operation may not be possible.
Until recently the reason for the demonstrated stability of regenerative
dividers has been poorly understood.
Non linear analysis is required as a linear analysis can lead to
conclusions that conflict with the observed characteristics of a
regenerative divider.
To understand the stability requirements one has to examine the
transient response and the phase portrait of the signals involved:
http://www.its.caltech.edu/~kaushiks/KS_RFIC.pdf
<http://www.its.caltech.edu/%7Ekaushiks/KS_RFIC.pdf>
http://www.its.caltech.edu/~kaushiks/KS_TCAS.pdf
<http://www.its.caltech.edu/%7Ekaushiks/KS_TCAS.pdf>
In practice the behaviour of regenerative dividers is sufficiently
stable and well established that they are being considered for use in
various atomic frequency standards by NIST and others.
Thanks for the good links. The TCAS paper contains the goodies.
Cheers,
Magnus
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