Doubly constrained robust capon beamformer
View Patent ↗A method for enhanced Capon beamforming includes the steps of providing a sensor array including a plurality of sensor elements where an array steering vector corresponding to a signal of interest (SOI) is unknown. A covariance matrix fitting relation is bounded for the unknown array steering vector by constraining the array steering vector using a constant norm and a spherical uncertainty set. The matrix fitting relation is then solved to provide an estimate of said array steering vector.
1. A method for enhanced Capon beamforming, comprising the steps of:
providing a sensor array including a plurality of sensor elements, wherein an array steering vector corresponding to a signal of interest (SOI) is unknown;
bounding a covariance matrix fitting relation for said array steering vector by constraining said array steering vector using a constant norm and a spherical uncertainty set, and
solving said matrix fitting relation to provide an estimate of said array steering vector.
2. The method of claim 1 , further comprising the step of determining a power of said SOI, said step of determining power including adjustment for said estimated array steering vector.
3. The method of claim 2 , further comprising the step of determining a direction of arrival (DOA) of said SOI from said SOI power.
4. The method of claim 1 , wherein said method is used to determine a weight vector for said sensor array.
5. The method of claim 4 , further comprising the step of determining a waveform of said SOI from said weight vector.
6. The method of claim 1 , wherein said solving step comprises use of the Lagrange Multiplier Method.
7. The method of claim 1 , wherein said sensor elements comprise antennas or ultrasound transducers.
8. A sensor-based system, comprising,
a sensor array including a plurality of sensor elements, wherein an array steering vector corresponding to a signal of interest (SOI) is unknown, and
a signal processor communicably connected to said plurality of sensor elements, said signal processor bounding a covariance matrix fitting relation for said array steering vector by constraining said array steering vector using a constant norm and a spherical uncertainty set, and solving said matrix fitting relation to provide an estimate of said array steering vector.
9. The system of claim 8 , wherein said sensor system comprises at least one selected from the group consisting of radar, cellular communications, sonar and acoustic imaging.