Joint time delay and frequency estimation of exponentially damped sinusoid via state-space realization
Hongyang Li · Journal of Wuhan Institute of Technology · 2011
In this paper,we present a subspace-based method for joint estimation of the time delay and frequency parameter of a exponentially damped sinusoidal signal.Using state-space realization,the frequency and damped factor estimates are obtained from the eigenvalues of the state transition matrix while the time delay is determined using the observation matrix and the estimated frequencies and damped factors.The searching computation is not required in the proposed method.Moreover,the proposed approach has better numerical value stability because of being insensitive to the model error.Computer simulations show that the performance of the frequency,damped factor and time delay estimation can attain the CRLB at a wide range of SNR.