it is tempting to use digital loop filter for PLL if a very low bandwidth is required, but with the large time constant is a problem ; the VCO will change it's frequency despite the tuning voltage remains constant and that is not so simple to model.

73

KJ6UHN

Alex


On 3/21/2017 4:39 AM, Attila Kinali wrote:
On Mon, 20 Mar 2017 21:32:28 -0700
James Peroulas <[email protected]> wrote:

I'm trying to understand how to design and analyze the loop filters in a
digital PLL. Specifically, because of digital processing delays, the phase
offset measured at time t will only produce a change on the VCXO input at
time t+T, where T is the sampling period of the digital loop.
You have the same delays in analog filters as well. As a rule of thumb
you can assume that the delays are in the same order of magnitude as
with the equivalent analog filters, not accounting for the delays due to
pre- and post-processing of the signal.
The analysis of digital PLLs works the same as with analog ones, you
just exchange the Laplace transform with the Z-transform. You can add
arbitrary delays due to pre/post-processing as a simple multiplication
by 1/z for each clock cycle of delay.

I've found plenty of texts describing analog loop filters. Are there any
recommendations for digital loop filter PLL design?
The PLL book by Best contains two chapters on how to design digital PLLs.
I can also recommend "Understanding digital signal processing" by Lyons,
which is a very hands-on description how to do filters and perform other
signal processing tasks.


                                Attila Kinali


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