Improvement to esprit-type frequency estimators via reducing data redundancy

In this paper, the problem of estimating the damping factor and frequency parameters from multiple cisoids in noise is addressed. We first propose a data matrix which generalizes the commonly used Hankel-style matrices so that the number of repeated entries can be reduced. A new computationally efficient ESPRIT estimator that makes use of the right singular vectors is then devised. Algorithm modification for un-damped sinusoids and complexity are also discussed. Computer simulations are included to compare the proposed approach with the conventional ESPRIT methods and Cramer-Rao lower bound.