Matrix analysis
Matrix computations (3rd ed.)
Barankin Bound for Source Localization in Shallow Water
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97) -Volume 1 - Volume 1
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
On the effect of nuisance parameters on the threshold SNR value ofthe Barankin bound
IEEE Transactions on Signal Processing
The Barankin bound and threshold behavior in frequency estimation
IEEE Transactions on Signal Processing
Barankin bounds for source localization in an uncertain oceanenvironment
IEEE Transactions on Signal Processing
A Useful Form of the Abel Bound and Its Application to Estimator Threshold Prediction
IEEE Transactions on Signal Processing
General classes of performance lower bounds for parameter estimation: part II: Bayesian bounds
IEEE Transactions on Information Theory
Hi-index | 754.90 |
In this paper, a new class of lower bounds on the mean square error (MSE) of unbiased estimators of deterministic parameters is proposed. Derivation of the proposed class is performed by projecting each entry of the vector of estimation error on a Hilbert subspace of L2. This Hilbert subspace contains linear transformations of elements in the domain of an integral transform of the likelihood-ratio function. The integral transform generalizes the traditional derivative and sampling operators, which are applied on the likelihood-ratio function for computation of performance lower bounds, such as Cramér-Rao, Bhattacharyya, and McAulay-Seidman bounds. It is shown that some well-known lower bounds on the MSE of unbiased estimators can be derived from this class by modifying the kernel of the integral transform. A new lower bound is derived from the proposed class using the kernel of the Fourier transform. In comparison with other existing bounds, the proposed bound is computationally manageable and provides better prediction of the threshold region of the maximum-likelihood estimator, in the problem of single tone estimation.