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Offset QPSK Carrier Recovery

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KericWard

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Can the carrier recovery for "Offset-QPSK with Half-Sine
Pulse Shaping" can be done in the exact same manner as for QPSK?

I would like to use a Costas Loop (shown in the picture below) to demodulate a "Offset-QPSK signal with Half-Sine Pulse Shaping".



The picture is from "The Communications Edge" Author: J. Mark Steber.
https://www.triquint.com/prodserv/tech_info/docs/WJ_classics/PSK_demod_part1.pdf

Any suggestions?
 
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