Recursive algorithms for computing the Cramer-Rao bound
Hero, A.O.; Usman, M.; Sauve, A.C.; Fessler, J.A.
Signal Processing, IEEE Transactions on
Volume 45, Issue 3, Mar 1997 Page(s):803 - 807
Digital Object Identifier 10.1109/78.558511
Summary:Computation of the Cramer-Rao bound (CRB) on estimator variance
requires the inverse or the pseudo-inverse Fisher information matrix
(FIM). Direct matrix inversion can be computationally intractable when
the number of unknown parameters is large. In this correspondence, we
compare several iterative methods for approximating the CRB using matrix
splitting and preconditioned conjugate gradient algorithms. For a large
class of inverse problems, we show that nonmonotone Gauss-Seidel and
preconditioned conjugate gradient algorithms require significantly fewer
flops for convergence than monotone “bound preserving”
algorithms
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