Integer Linear Programming Roundoff Method for Arbitrary Planar Phased-Array Scanning

Yi Zhang; Houjun Sun; Qing Huo Liu

doi:10.1109/TAP.2019.2896734

Integer Linear Programming Roundoff Method for Arbitrary Planar Phased-Array Scanning

Yi Zhang, Houjun Sun^*, Qing Huo Liu

^*Corresponding author for this work

School of Integrated Circuits and Electronics

Duke University

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, an approximate linear formula of the relationship between element errors and beam pointing errors in an arbitrary planar array is derived. Based on the formula, a phase feeding method is proposed. The proposed method, referred to as integer linear programming (ILP) roundoff, significantly reduces beam pointing errors by controlling the state of the digital phase shifters through ILP. Examples are given showing that a $10 \times 10$ element planar array with 5 bit digital phase shifters using this method can reduce beam pointing errors to less than 1% compared with other methods.

Original language	English
Article number	8630968
Pages (from-to)	3040-3047
Number of pages	8
Journal	IEEE Transactions on Antennas and Propagation
Volume	67
Issue number	5
DOIs	https://doi.org/10.1109/TAP.2019.2896734
Publication status	Published - May 2019

Keywords

Beam pointing error
digital phase shifter
integer linear programming (ILP)
phase feeding
phased array

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10.1109/TAP.2019.2896734

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Zhang, Y., Sun, H., & Liu, Q. H. (2019). Integer Linear Programming Roundoff Method for Arbitrary Planar Phased-Array Scanning. IEEE Transactions on Antennas and Propagation, 67(5), 3040-3047. Article 8630968. https://doi.org/10.1109/TAP.2019.2896734

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AB - In this paper, an approximate linear formula of the relationship between element errors and beam pointing errors in an arbitrary planar array is derived. Based on the formula, a phase feeding method is proposed. The proposed method, referred to as integer linear programming (ILP) roundoff, significantly reduces beam pointing errors by controlling the state of the digital phase shifters through ILP. Examples are given showing that a $10 \times 10$ element planar array with 5 bit digital phase shifters using this method can reduce beam pointing errors to less than 1% compared with other methods.

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Integer Linear Programming Roundoff Method for Arbitrary Planar Phased-Array Scanning

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