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Re: LF: PLL / Loop antennas

To: [email protected]
Subject: Re: LF: PLL / Loop antennas
From: "Andre' Kesteloot" <[email protected]>
Date: Mon, 05 Feb 2001 12:10:05 -0500
Cc: "lf, AMRAD" <[email protected]>
References: <5501.200102051521@gemini>
Reply-to: [email protected]
Sender: <[email protected]>
James Moritz wrote:

Re: Phase locked loops; Andre wrote-

>"...the implementation of figure 8.6 has a resolution of 0.35
> degrees.

A fixed error in frequency means a constantly increasing error in phase. 
Suppose a phase locked loop has a reference frequency of 1MHz exactly, and is 
trying to lock a VCO which is running at 1.000001MHz. If both reference and VCO 
have the same phase at one particular moment, one cycle later the VCO will be 
leading in phase by 1e-6 cycles, or 0.00036 degrees, which may well be lost in 
the noise and other errors at the phase detector output. But after 2 cycles it 
will be 0.00072 degrees, after about 972 cycles, the accumulated phase error 
will be 0.35 degrees, and after 1000000 cycles it will be 360 degrees. However 
small the frequency error, over a long enough time the phase error will 
increase to the point where it becomes the dominant signal in the feedback loop 
- probably a rather small fraction of a second in the above example.

Yes Jim, I agree entirely.
That is why my original posting mentioned that whenever we insert a 
divider-by-N between VCO and phase detector, we must keep in mind that the VCO 
can drift N times more than the phase angle at the phase detector/comparator. 
That error may, or may not be significant.
73
Andre'





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