Abstract
Modern ESAs present the opportunity to do digital processing on the outputs of multiple subarrays without having to digitally sample the output of each element, thereby greatly simplifying the design of the ESA while still achieving the benefits of adaptive processing. The principles behind two common techniques, minimum variance distortionless response (MVDR) and space-time adaptive processing (STAP), are described, and it is shown that under idealized conditions MVDR and STAP perform identically. An example of jammer nulling is discussed in detail when the interfering signal(s) is within the main beam of the ESA but outside of the full width at half maximum (FWHM) beamwidth. It is shown also that MVDR works better in this case when the jammers are distributed symmetrically about the desired signal, something that can be achieved in MVDR by simply modifying the subarray to subarray covariance matrix of the interference used to compute subarray weights.
This Section was originally presented as a paper (Dana 2018).
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Another way to see that this must be true is by considering the derivation of the link margin equation. The received signal power is the product of the power per unit area times the effective area of the aperture. For equal area subarrays, their effective area must be 1/N SA times that of the full array assuming lossless combining.
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The weights are based on linearly constrained, minimum variance (LCMV) optimization as described in Van Trees (2002, Chap. 6).
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References
Dana, R. A. (2018, September) Digital beamforming vs adaptive processing in modern electronically scanned arrays (ESAs). In: Proceedings of Antenna Applications Symposium
Mailloux, R. J. (2005). Phased Array antenna handbook (2nd ed.). Boston: Artech House.
Petersen, K. B., & Pedersen, M. S. (2008, November). The matrix cookbook (matrixcookbook.com).
Richards, M. A. (2014). Fundamentals of radar signal processing. New York: McGraw-Hill Book Company.
Van Trees, H. L. (2002). Optimum array processing. New York: Wiley Interscience.
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Dana, R.A. (2019). Digital Beamforming and Adaptive Processing. In: Electronically Scanned Arrays (ESAs) and K-Space Gain Formulation. Springer, Cham. https://doi.org/10.1007/978-3-030-04678-1_6
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DOI: https://doi.org/10.1007/978-3-030-04678-1_6
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