<span style=" font-size:10pt;font-family:sans-serif">Dear Wing,</span>
<br><span style=" font-size:10pt;font-family:sans-serif"> thanks for
your assessment. I had time to think upon, and agree with you.</span>
<br>
<br><span style=" font-size:10pt;font-family:sans-serif">I would then propose
to the working group to include NASA Doppler model in the future update
of the Channel Model (as part of <b>AI_20_13</b>) and with the possibility
to the user of doing time replicas of the Doppler profile (in case he/she
needs to perform simulations without the acquisition).</span>
<br>
<br><span style=" font-size:10pt;font-family:sans-serif">Please let me
know if somebody disagrees with the approach,</span>
<br>
<br>
<br><span style=" font-size:10pt;font-family:sans-serif">Regards</span>
<br>
<br>
<br>
<br>
<br><span style=" font-size:8pt;color:#808080;font-family:Verdana"><b>HE
Space Operations for ESA - European Space Agency</b></span>
<br><span style=" font-size:8pt;color:#00a1e0;font-family:Verdana"><b>Ph.D.
Andrea Modenini</b></span><span style=" font-size:8pt;color:#808080;font-family:Verdana"><b><br>
Communication Systems & Technologies Engineer</b></span><span style=" font-size:12pt;font-family:Tms Rmn"><b>
</b></span><span style=" font-size:8pt;color:#808080;font-family:Verdana"><br>
TT&C and PDT Systems & Techniques Section (TEC-EST)<br>
RF Systems Division<b><br>
ESTEC</b><br>
Keplerlaan 1, PO Box 299<br>
NL-2200 AG Noordwijk, The Netherlands</span><span style=" font-size:8pt;color:blue;font-family:Verdana"><u><br>
</u></span><span style=" font-size:8pt;color:#808080;font-family:Verdana">andrea.modenini@esa.int
| </span><a href=http://www.esa.int/><span style=" font-size:8pt;color:#8f8f8f;font-family:Verdana"><u>www.esa.int</u></span></a><span style=" font-size:8pt;color:#808080;font-family:Verdana"><br>
T +31 71 56 53439</span>
<br>
<br>
<br>
<br><span style=" font-size:9pt;color:#5f5f5f;font-family:sans-serif">From:
       </span><span style=" font-size:9pt;font-family:sans-serif">"Lee,
Wing-tsz\(GSFC-5670\) via SLS-CC" <sls-cc@mailman.ccsds.org></span>
<br><span style=" font-size:9pt;color:#5f5f5f;font-family:sans-serif">To:
       </span><span style=" font-size:9pt;font-family:sans-serif">"sls-cc@mailman.ccsds.org"
<sls-cc@mailman.ccsds.org></span>
<br><span style=" font-size:9pt;color:#5f5f5f;font-family:sans-serif">Date:
       </span><span style=" font-size:9pt;font-family:sans-serif">03-12-20
17:33</span>
<br><span style=" font-size:9pt;color:#5f5f5f;font-family:sans-serif">Subject:
       </span><span style=" font-size:9pt;font-family:sans-serif">Re:
[SLS-CC] [EXTERNAL] SLS-CC Digest, Vol 177, Issue 3</span>
<br><span style=" font-size:9pt;color:#5f5f5f;font-family:sans-serif">Sent
by:        </span><span style=" font-size:9pt;font-family:sans-serif">"SLS-CC"
<sls-cc-bounces@mailman.ccsds.org></span>
<br>
<hr noshade>
<br>
<br>
<br><tt><span style=" font-size:10pt">Hi Andrea,<br>
<br>
We agree with you that the end points at which the Doppler profile and
its negated version connects will have a derivative that’s undefined because
the slope is nonzero (but very small).  However, since the Doppler
effect on the carrier is simulated via a changing phase shift, which would
be some integral of the Doppler frequency, the input phase shift would
still be continuous.  <br>
<br>
Conceptually, we believe that the direction of Doppler shouldn’t matter
as long as 1) the phase is continuous (i.e. no phase jump at the transition
point), 2) no frequency jump, and 3) the maximum Doppler rate of change
is within the tracking capability of the loops, then the loops should maintain
lock.<br>
<br>
Thanks,<br>
Wing<br>
<br>
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</PRE>