Pseudo-Error Probability-Based Estimation of SNR for BPSK and QPSK Modulated Signals

Signal-to-noise ratio (SNR) estimation is an important issue in many communication systems. This paper proposed a new non-data-aided (NDA) SNR estimator for BPSK and QPSK modulated signals. The estimation is based on pseudo-error probability (PEP), which can be estimated without additional cost for sampled systems. The performance of the proposed estimator is examined numerically in terms of its bias and normalized mean square error. The Cramer-Rao lower bound (CRLB) for PEP-based SNR estimation is also derived. Comparing with the existing SNR estimation schemes such as maximum likelihood (ML) estimators, the proposed algorithm can achieve similar performance with much less computational cost.