Aj. Willis et al., A MAXIMUM A-POSTERIORI ALGORITHM FOR RECONSTRUCTION OF TARGETS IN INCOMPLETELY DEFINED CORRELATED NOISE, IEEE transactions on signal processing, 46(5), 1998, pp. 1439-1443
The maximum a posteriori (MAP) line spectral estimator used to charact
erize sinusoids in data corrupted by Gaussian noise of unknown correla
tion is generalized to the case where an experimental estimate of nois
e covariance is available. The estimator is robust to noise with mean
square error and standard deviation falling below that of the classica
l MAP for increasing number of samples, while approaching classical MA
P for the case of no prior knowledge.