A modified Ziv-Zakai lower bound and its application in array processing

The Ziv-Zakai (1975) lower bound (ZZLB) is examined and modified for uses for the estimation of deterministic parameters in array processing. The result is a new lower bound called the modified Ziv-Zakai lower bound (MZLB). The MZLB for the variance of DOA is derived. The comparison between the MZLB, Cramer-Rao lower bound (CRLB), and Barakin lower bound (BLB) shows that, for high SNR, MZLB approximately=CRLB, but the MZLB is much tighter than the CRLB and also tighter than the BLB when SNR is lower. The MZLB does not need optimization of a parameter, but BLB does.<
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