QPSK carrier-acquisition performance in the advanced receiver 2

The frequency-acquisition performance of the Costas cross-over loop which is used in the Advanced Receiver 2 (ARX 2) to perform Quadrature Phase Shift Keying (QPSK) carrier tracking is described. The performance of the Costas cross-over loop is compared to two other QPSK carrier tracking loops: the MAP estimation loop and the generalized Costas loop. Acquisition times and probabilities of acquisition as functions of both loop signal-to-noise ratio and frequency-offset to loop-bandwidth ratio are obtained using computer simulations for both type-2 and type-3 loops. It is shown that even though the MAP loop results in the smallest squaring loss for all signal-to-noise ratios, the MAP loop is sometimes outperformed by the other two loops in terms of acquisition time and probability.