Stochastic Cramer-Rao bounds of DOA estimates for BPSK and QPSK modulated signals

The paper focuses on the stochastic Cramer-Rao bound (CRB) of direction of arrival (DOA) estimates for binary phase-shift keying (BPSK) and quaternary phase-shift keying (QPSK) modulated signals corrupted by additive circular complex Gaussian noise. Explicit expressions of the CRB for the DOA parameter alone in the case of a single signal waveform are given. Finally, these results are extended to the case of two independent BPSK distributed sources where an explicit expression of the DOA parameters alone is given for large SNR.