TY - GEN

T1 - Robustness of maximum likelihood frequency estimators under model errors

AU - Karan, Mehmet

AU - Williamson, Robert C.

AU - Anderson, Brian D.O.

PY - 1993

Y1 - 1993

N2 - In this paper, the robustness of Maximum Likelihood (ML) constant frequency estimators is discussed. The motivation for the paper is to understand the performance of the Hidden Markov Model-Maximum Likelihood (HMM-ML) tandem frequency tracker [1] where the signal's frequency is assumed to be piecewise constant. For this purpose the frequencies of noisy linear FM signals are estimated under the wrong assumption that they have constant frequencies and the performance of the ML constant frequency estimator is analyzed at different Signal-to-Noise Ratio (SNR) levels extending the techniques in [2]. The change of the threshold SNR with respect to the rate of the frequency variation is investigated and a simple rule of thumb is given for this change. The results are supported by simulations.

AB - In this paper, the robustness of Maximum Likelihood (ML) constant frequency estimators is discussed. The motivation for the paper is to understand the performance of the Hidden Markov Model-Maximum Likelihood (HMM-ML) tandem frequency tracker [1] where the signal's frequency is assumed to be piecewise constant. For this purpose the frequencies of noisy linear FM signals are estimated under the wrong assumption that they have constant frequencies and the performance of the ML constant frequency estimator is analyzed at different Signal-to-Noise Ratio (SNR) levels extending the techniques in [2]. The change of the threshold SNR with respect to the rate of the frequency variation is investigated and a simple rule of thumb is given for this change. The results are supported by simulations.

UR - http://www.scopus.com/inward/record.url?scp=0027867175&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0027867175

SN - 0780312988

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3034

EP - 3039

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Publ by IEEE

T2 - Proceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4)

Y2 - 15 December 1993 through 17 December 1993

ER -