ON THE IDENTIFICATION OF HARMONIC SIGNAL FIELDS CONVERGENCE METHOD INAN ARBITRARY NOISE FIELD USING THE 1-D MV SPECTRUM

This paper considers the recovery of a multichannel harmonic signal fi eld corrupted by a possibly unknown homogeneous noise field, An approa ch is presented using the convergence-based spectra developed by Foias et al, in the random process setting, This technique has the advantag e of discerning between the point and narrowband noise spectrum based on the monotonically decreasing convergence properties of a sequence o f minimum variance (MV) spectra, For the proposed technique, the rando m field is reduced to a sequence of random processes using a set of co ndensing functions, An additional advantage of the proposed technique is that these condensing functions can be used to reflect a priori inf ormation and, hence, improve the effective signal-to-noise ratio (SNR) , This technique uses information from all dimensions, Traditional tec hniques would separately apply a spectral algorithm to each dimension of the random field and thereby lose joint information from other dime nsions.