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Published February 2011 | metadata_only
Journal Article

Solving Large-Scale Hybrid Circuit-Antenna Problems


Motivated by different applications in circuits, electromagnetics, and optics, this paper is concerned with the synthesis of a particular type of linear circuit, where the circuit is associated with a control unit. The objective is to design a controller for this control unit such that certain specifications on the parameters of the circuit are satisfied. It is shown that designing a control unit in the form of a switching network is an NP-complete problem that can be formulated as a rank-minimization problem. It is then proven that the underlying design problem can be cast as a semidefinite optimization if a passive network is designed instead of a switching network. Since the implementation of a passive network may need too many components, the design of a decoupled (sparse) passive network is subsequently studied. This paper introduces a tradeoff between design simplicity and implementation complexity for an important class of linear circuits. The superiority of the developed techniques is demonstrated by different simulations. In particular, for the first time in the literature, a wavelength-size passive antenna is designed, which has an excellent beamforming capability and which can concurrently make a null in at least eight directions.

Additional Information

© 2010 IEEE. Manuscript received December 11, 2009; revised May 09, 2010; accepted July 22, 2010. Date of publication November 15, 2010; date of current version January 28, 2011. This work was supported in part by ONR MURI N00014-08-1-0747 ("Scalable, Data-driven, and Provably-correct Analysis of Networks"), by ARO MURI W911NF-08-1-0233 ("Tools for the Analysis and Design of Complex Multi-Scale Networks"), and by the Army's W911NF-09-D-0001 Institute for Collaborative Biotechnology. This paper was recommended by Associate Editor L. B. Goldgeisser.

Additional details

August 22, 2023
August 22, 2023