Optimal Parameter Estimation from Near Field Measurements.
Technical rept. 1975-76,
HUGHES AIRCRAFT CO FULLERTON CALIF GROUND SYSTEMS GROUP
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The techniques of optimal estimation theory are applied to determining the parameters of an acoustic field using a line array of sensors in the near field. The joint maximum likelihood estimation of point source range, bearing and power spectral density is derived assuming white noise and knowledge of its spatial covariance. Determination of the localization parameter estimates is shown to be independent of the estimation of power. Four methods are evaluated for estimating the noise spatial covariance matrix of a line array in the presence of a known signal. For the case of known signal and noise means two ad hoc schemes are developed. The mean and variance of a far-field power estimate as a function of near field pressure measurements are calculated using a Greens transfer function. The analysis used to derive the optimum processing structure for the two point source resolution problem is extended and generalized for multiple point sources.
- Acoustic Detection and Detectors