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A method of antenna array processing. Digitized time-series data from a plurality of antenna elements are divided into a plurality of time windows. A Fourier Transform is performed on a time window of the plurality of time windows for each antenna element of the plurality of antenna elements to gene

A method of antenna array processing. Digitized time-series data from a plurality of antenna elements are divided into a plurality of time windows. A Fourier Transform is performed on a time window of the plurality of time windows for each antenna element of the plurality of antenna elements to generate a plurality of frequency domain vectors. The plurality of antenna elements is divided into a plurality of largest aperture sub-arrays. The frequency domain vectors are compressive beamformed tor the each sub-array to generate a plurality of bearing estimates corresponding to the plurality of sub-arrays. The plurality of bearing estimates from the plurality of sub-arrays are sparsely combined to generate a plurality of frequency-specific bearing estimates. The plurality of frequency-specific bearing estimates are incoherently averaged over a range of frequencies to generate a bearing for a bearing-timing record. A plurality of bearings for the bearing-timing record is generated.

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1. A method of antenna array processing in an underwater environment exhibiting non-uniform noise, the method comprising: providing an antenna array comprising a plurality of antenna elements, adjacent antenna elements of the plurality of antenna elements being uniformly spaced along the antenna arr

1. A method of antenna array processing in an underwater environment exhibiting non-uniform noise, the method comprising: providing an antenna array comprising a plurality of antenna elements, adjacent antenna elements of the plurality of antenna elements being uniformly spaced along the antenna array;recording time-series data from the plurality of antenna elements;digitizing the recorded time-series data;dividing the digitized time-series data into a plurality of time windows;performing a Fourier Transform on a time window of the plurality of time windows for each antenna element of the plurality of antenna elements to generate a plurality of frequency domain vectors;dividing the plurality of antenna elements into a plurality of largest aperture sub-arrays, each sub-array of the plurality of equal aperture sub-arrays comprising non-uniformly spaced antenna elements from the antenna array;compressive beamforming the frequency domain vectors for the each sub-array to generate a plurality of bearing estimates corresponding to the plurality of sub-arrays;sparsely combining the plurality of bearing estimates from the plurality of sub-arrays to generate a plurality of frequency-specific bearing estimates;incoherently averaging the plurality of frequency-specific bearing estimates over a range of frequencies to generate a bearing for a bearing-timing record;repeating the performing a Fourier Transform on a time window, the dividing the plurality of antenna elements, the compressive beamforming the frequency domain vectors, and the incoherently averaging the plurality of frequency-specific bearing estimates to generate a plurality of bearings for the bearing-timing record; anddisplaying an increment beamformer output based on the plurality of bearings for the bearing-timing record. 2. The method according to claim 1, wherein the plurality of largest aperture sub-arrays satisfy the Uniform Uncertainty Principle. 3. The method according to claim 1, wherein said compressive beamforming comprises beamforming free of a covariance matrix. 4. The method according to claim 3, wherein said beamforming free of a covariance matrix comprises solving for a plurality of bearing angles using an I1 matrix inversion. 5. The method according to claim 4, wherein said solving for a plurality of bearing angles using an I1 inversion comprises using one of a relaxation algorithm and a greedy algorithm. 6. The method according to claim 3, wherein said beamforming free of a covariance matrix comprises solving for a plurality of bearing angles using an I1 matrix inversion and an I2 matrix inversion. 7. The method according to claim 1, further comprising: tracking at least one target using the displayed beamformer output. 8. The method according to claim 5, further comprising: classifying the at least one target based on the beamformer output. 9. The method according to claim 1, wherein the antenna array is one of a ship-towed, horizontal array, a moored array, a conformal array, and a hull array. 10. The method according to claim 1, wherein said sparsely combining the plurality of bearing estimates for the plurality of sub-arrays comprises selecting a plurality of minimum bearing estimates corresponding to a plurality of angles across a plurality of frequencies. 11. A method of antenna array processing in an underwater environment exhibiting non-uniform noise, the method comprising: providing an antenna array comprising a plurality of antenna elements, adjacent antenna elements of the plurality of antenna elements being non-uniformly spaced along the antenna array;recording time-series data from the plurality of antenna elements;digitizing the recorded time-series data;dividing the digitized time-series data into a plurality of time windows;performing a Fourier Transform on a time window of the plurality of time windows for each antenna element of the plurality of antenna elements to generate a plurality of frequency domain vectors;dividing the plurality of antenna elements into a plurality of largest aperture sub-arrays, each sub-array of the plurality of equal aperture sub-arrays comprising non-uniformly spaced antenna elements from the antenna array;compressive beamforming the frequency domain vectors for the each sub-array to generate a plurality of bearing estimates corresponding to the plurality of sub-arrays;sparsely combining the plurality of hearing estimates for the plurality of sub-arrays generate a plurality of frequency-specific bearing estimates;incoherently averaging the plurality of frequency-specific bearing estimates over a range of frequencies to generate a bearing for a bearing-tinting record;repeating the performing a Fourier Transform on a time window, the dividing the plurality of antenna elements, the compressive beamforming the frequency domain vectors, and the incoherently averaging the plurality of frequency-specific bearing estimates to generate a plurality of bearings for the bearing-timing record; anddisplaying an increment beamformer output based on the plurality of bearings for the bearing-timing record. 12. The method according to claim 11, wherein the plurality of largest aperture sub-arrays satisfy the Uniform Uncertainty Principle. 13. The method according to claim 11, wherein said compressive beamforming comprises beamforming free of a covariance matrix. 14. The method according to claim 13, wherein said beamforming free of a covariance matrix comprises solving for a plurality of bearing angles sing an I1 matrix inversion. 15. The method according to claim 14, wherein said solving for a plurality of bearing angles using an I1 inversion comprises using one of a relaxation algorithm and a greedy algorithm. 16. The method according to claim 13, wherein said beamforming free of a covariance matrix comprises solving for a plurality of bearing angles using an I1 matrix inversion and an I2 matrix inversion. 17. The method according to claim 11, further comprising: tracking at least one target using the displayed beamformer output. 18. The method according to claim 17, further comprising: classifying the at least one target based on the beamformer output. 19. The method according to claim 11, wherein the antenna array is one of a ship-towed, horizontal array, a moored array, a conformal array, and a hull array. 20. The method according to claim 11, wherein said sparsely combining the plurality of bearing estimates for the plurality of sub-arrays comprises selecting a plurality of minimum bearing estimates corresponding to a plurality of angles across a plurality of frequencies.