TY - GEN
T1 - Statistical resolution limit based on cramer-rao bound
AU - Lu, Dinghong
AU - Li, Yang
AU - Liang, Chaojie
PY - 2013
Y1 - 2013
N2 - An extension study of Smith's result is proposed. An exact Cramer-Rao bound expression of frequency difference is deduced. The Cramer-Rao bound expression is analyzed asymptotically for the closely spaced targets case. A general close form of statistical resolution limit(SRL)is provided based on the asymptotic results. The SRL proposed is a function of power ratio, phase difference, and SNR. It is found that the power ratio and phase difference affect the relationship between SRL and SNR severely in further examination of the effect of the power ratio and phase difference. Maximum likelihood Estimation (MLE) simulation results shows that the variance of the MLE is close to the CRB in the resolvable area, but departs the CRB at the predicted resolution limit point. Simulation results proved that the statistical resolution limit proposed is correct and accurate.
AB - An extension study of Smith's result is proposed. An exact Cramer-Rao bound expression of frequency difference is deduced. The Cramer-Rao bound expression is analyzed asymptotically for the closely spaced targets case. A general close form of statistical resolution limit(SRL)is provided based on the asymptotic results. The SRL proposed is a function of power ratio, phase difference, and SNR. It is found that the power ratio and phase difference affect the relationship between SRL and SNR severely in further examination of the effect of the power ratio and phase difference. Maximum likelihood Estimation (MLE) simulation results shows that the variance of the MLE is close to the CRB in the resolvable area, but departs the CRB at the predicted resolution limit point. Simulation results proved that the statistical resolution limit proposed is correct and accurate.
KW - Closely spaced targets
KW - Cramer-rao bound
KW - Smith's criteria
KW - Statistical resolution limit
UR - http://www.scopus.com/inward/record.url?scp=84894528822&partnerID=8YFLogxK
U2 - 10.1049/cp.2013.0384
DO - 10.1049/cp.2013.0384
M3 - Conference contribution
AN - SCOPUS:84894528822
SN - 9781849196031
T3 - IET Conference Publications
BT - IET International Radar Conference 2013
T2 - IET International Radar Conference 2013
Y2 - 14 April 2013 through 16 April 2013
ER -