Minimum Complexity Decoupling Networks for Arbitrary Coupled Loads Ding Nie, Bertrand Hochwald and Erik Stauffer University of Notre Dame Broadcom Cooperation [email protected][email protected][email protected]July 8, 2014 Ding Nie, Bertrand Hochwald and Erik Stauffer (University of Notre Dame) Minimum Complexity Decoupling Networks July 8, 2014 1 / 13
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Minimum Complexity Decoupling Networks for Arbitrary Coupled Loads
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Minimum Complexity Decoupling Networks for ArbitraryCoupled Loads
Ding Nie, Bertrand Hochwald and Erik Stauffer (University of Notre Dame)Minimum Complexity Decoupling Networks July 8, 2014 10 / 13
Minimum Complexity Decoupling Networks for SymmetricLoads
Symmetric loads are SL that has the form
SL =
µL + ξL ξL · · · ξLξL µL + ξL · · · ξL...
.... . .
...ξL ξL · · · µL + ξL
Apply the systematic design method, we get
. . .
. . .
1
2
3
1N −
N
1N +
2N +
3N +
2 1N −
2N
. . .
2
3
1N −
N
1N +
2N +
2 1N −
2N
3N +
13c
4c2c
1c
Only 4N impedances are needed
Ding Nie, Bertrand Hochwald and Erik Stauffer (University of Notre Dame)Minimum Complexity Decoupling Networks July 8, 2014 11 / 13
Summary
Systematic design of decoupling networks for arbitrary coupled loads
Decoupling networks realization using N2 + N components, theminimum possible
Examples of two-, three-antennas and symmetric loads
Ding Nie, Bertrand Hochwald and Erik Stauffer (University of Notre Dame)Minimum Complexity Decoupling Networks July 8, 2014 12 / 13
References
J. B. Anderson and H. H. Rasmussen, “Decoupling and descatteringnetworks for antennas,” IEEE Transactions on Antennas andPropagation, vol. 24, no. 6, pp. 841-846, Nov. 1976.
J. C. Coetzee and Y. Yu, “Design of decoupling networks for circulantsymmetric antenna arrays,” IEEE Antennas and Wireless PropagationLetters, vol. 8, pp. 291-294, 2009.
D. M. Pozar, Microwave Engineering 4th ed., John Wiley & Sons,2011.
D. Nie, B. Hochwald and E. Stauffer, “Systematic design of large-scalemultiport decoupling networks,” IEEE Transaction on Circuits andSystems I: Regular Papers, vol. 61, no. 7, pp. 2172-2181, July 2014.
Ding Nie, Bertrand Hochwald and Erik Stauffer (University of Notre Dame)Minimum Complexity Decoupling Networks July 8, 2014 13 / 13