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> Putnam Math Competition
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Math Colloquium
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Print
Announcement
Daniil Shaposhnikov and Macy Mosier
University of Houston
Optimization and antenna
synthesis towards low frequency beam forming with an air-borne wireless
distributed network of transmitters
Perturbation method for finding the
optimal feed currents towards beam forming with an air-borne antenna array
with applications to enhanced communications
January 30, 2025
4:00pm PGH 646
Abstract
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Daniil Shaposhnikov:
We explore optimization techniques and antenna synthesis strategies for
real time low-frequency beamforming and interference nulling with an
airborne antenna array. The focus is on utilizing the airborne network as a
relay to transmit around attenuating obstacles, such as forests, with the
goal of outperforming a direct link. Unlike traditional antenna design,
where alignment accuracy of elements and mechanical tolerances are
carefully accounted for, this airborne network is naturally sensitive to
tilting and position errors due to environmental factors so we must account
for this in our optimization.
Macy Mosier:
We present an iterative approach for generating a focused beam, or a beam
with a null in the far-field of an antenna grid arranged in a double cross
formation. Building on the work of Egarguin[1], our method begins with a 2D
far-field approximation to steer the antenna grid toward a desired
direction. The far-field pattern is then normalized, and for each sidelobe
exceeding a predefined threshold, currents are calculated for each dipole
to cancel the sidelobe. This process is repeated until all sidelobes fall
below the threshold. Additionally, a null can be introduced by performing
the sidelobe cancellation process on all elements except the center, and
then determining the center’s current to eliminate the far-field pattern in
the null direction. The result is a focused beam with optional null
placement and sidelobes that remain below the established threshold.
[1] Neil J. Egarguin, David R. Jackson, Daniel Onofrei, and Pratik Deb,
Adaptive Beamforming with a Double-Cross Array of Dipoles on a Drone, 2024
IEEE Texas Symposium on Wireless and Microwave Circuits and Systems (WMCS)
Pizza will be served.
Colloquium sponsored by the NSM Dean's office DUSEM grant
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