Discrete time PLL - mean time between slips

Hi guys,

Can anyone point me to a paper/book describing the analysis of the
discrete time PLL?

All I could find are books describing the nonlinear analysis of the
continuous time PLL -- an analysis that is based on nonlinear
differential equations.

A discrete time analysis avoids the difficulty of continuous time
white noise, etc.

This is all for analysing the mean time between phase slips of a
decision directed carrier recovery loop.

Thanks,
Nimrod.

Floyd Gardner's PLL book is one of the best, but I'm not positive that
it has probability of slip analysis.  I think it does, but you might
want to confirm first.

Blanchard's book is also good, and likely to have cycle slip analysis.

Both are primarily continuous-time analyses but the analyses hold (for
the most part, at least the techniques hold) for equivalent
discrete-time loop architectures.   I've always used step-invariant
bilinear transforms to take the continuous time analyses to
discrete-time with very good results.  Other techniques seem to work
as well, as long as one is consistent with the analysis and careful
about assumptions. 

Hope that helps a little bit.

Cheers,

Eric

On 16 Jul 2003 07:05:18 -0700, nimrodm@yahoo.com (Nimrod Mesika)
wrote:

>Hi guys,
>
>Can anyone point me to a paper/book describing the analysis of the
>discrete time PLL?
>
>All I could find are books describing the nonlinear analysis of the
>continuous time PLL -- an analysis that is based on nonlinear
>differential equations.
>
>A discrete time analysis avoids the difficulty of continuous time
>white noise, etc.
>
>This is all for analysing the mean time between phase slips of a
>decision directed carrier recovery loop.
>
>Thanks,
>Nimrod.

Eric Jacobsen
Minister of Algorithms, Intel Corp.
My opinions may not be Intel's opinions.
http://www.ericjacobsen.org