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

  • Authors:

  • X. Gu;M. Wong

  • Affiliations:

  • Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada;Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada

  • Venue:
  • ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
  • Year:
  • 1991

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Abstract

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.