Title :
The PDF of adaptive beamforming weights
Author :
Steinhardt, Allan O.
Author_Institution :
Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
fDate :
5/1/1991 12:00:00 AM
Abstract :
The author derives a closed-form expression for the marginal probability density function (PDF) for the weight vector coefficients in a minimum-variance distortionless response (MVDR) adaptive beamformer, when the snapshots are independently identically distributed (IID) normal and the weights are computed via sample matrix inversion. The marginal PDF allows one to determine the dynamic range required to avoid saturation (with a specified degree of probability) in digital and/or analog implementation of beamforming weights
Keywords :
antenna phased arrays; antenna radiation patterns; probability; adaptive beamforming weights; closed-form expression; dynamic range; independently identically distributed snapshots; marginal PDF; marginal probability density function; minimum-variance distortionless response; sample matrix inversion; weight vector coefficients; Array signal processing; Automatic control; Covariance matrix; Degradation; Density functional theory; Dynamic range; Interference; Least squares approximation; Maximum likelihood estimation; Societies;
Journal_Title :
Signal Processing, IEEE Transactions on
