A New Interval Pattern Analysis Method of Array Antennas Based on Taylor Expansion

In this communication, a new Taylor expansion-based interval pattern analysis method is developed to predict the impact of the small excitation amplitude uncertainty on the radiated array pattern. The dependence problem of the classical interval arithmetic, which may lead to overestimation of perfor...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2017-11, Vol.65 (11), p.6151-6156
Main Authors: Hu, Naigang, Duan, Baoyan, Xu, Wanye, Zhou, Jinzhu
Format: Article
Language:English
Subjects:
Antenna array
classical interval arithmetic
dependence problem
interval analysis
Linear antenna arrays
Pattern analysis
Probabilistic logic
Taylor expansion
Taylor series
Uncertainty
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Summary:In this communication, a new Taylor expansion-based interval pattern analysis method is developed to predict the impact of the small excitation amplitude uncertainty on the radiated array pattern. The dependence problem of the classical interval arithmetic, which may lead to overestimation of performance intervals, is addressed in this communication. The proposed method approximates by approximating the antenna power values to the first order with respect to the uncertain amplitude. The new method is simpler and can produce more accurate bounds of the antenna pattern and the pattern features than the existing techniques. Several representative numerical examples are investigated to demonstrate the validity and efficiency of the proposed method.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2017.2754458