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In high-speed satellite communications, carrier recovery technique is a pivotal technique in demodulator. The algorithms of carrier recovery influence the capability of the receiver directly. This paper first studies and deduces the general architectures of carrier recovery loop in details, which is based on the maximum a posteriori estimation. It introduces and analyses the characteristic of the carrier phase error detection algorithms. The Phase discrimination characteristic is a dominating capability index of the loop, so the paper gives the result of the capability analysis of the loop. The result shows that under the low signal-to-noise ratio situation, QPSK is more appropriate to this carrier recovery loop.