TY - JOUR
T1 - Fast evaluation of the radiation patterns of true time delay arrays with beam steering
AU - Shlivinski, Amir
AU - Boag, Amir
N1 - Funding Information:
Manuscript received April 26, 2007; revised July 15, 2007. This work was supported by The Israel Science Foundation under Grant 745=07. A. Shlivinski is with the Department of Electrical and Computer Engineering, Ben Gurion University of the Negev, Beer Sheva 84105, Israel (e-mail: [email protected]). A. Boag is with the School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel. Digital Object Identifier 10.1109/TAP.2007.910482
PY - 2007/12
Y1 - 2007/12
N2 - A multilevel algorithm for the computation of the transient radiation patterns of true time delay (TTD) conformal arrays over a range of observation and beam steering directions is presented. The multilevel algorithm is based on hierarchical decomposition of the array into smaller sub-arrays of elements. At the finest level of decomposition, the angular-temporal radiation patterns of single-element sub-arrays are obtained over a sparse angular grid of directions and short temporal duration, by either measurement or calculation. Subsequent steps of the algorithm comprise multilevel aggregation of delayed sub-array contributions. This process continues until the transient radiation pattern of the whole array is obtained. At each level, the radiation pattern is interpolated to a finer angular grid of observations and steering directions followed by temporal delay compensation. The multilevel array decomposition algorithm attains a computational complexity substantially lower than that of the direct evaluation. Furthermore, the algorithm is particularly efficient for large arrays with large numbers of elements.
AB - A multilevel algorithm for the computation of the transient radiation patterns of true time delay (TTD) conformal arrays over a range of observation and beam steering directions is presented. The multilevel algorithm is based on hierarchical decomposition of the array into smaller sub-arrays of elements. At the finest level of decomposition, the angular-temporal radiation patterns of single-element sub-arrays are obtained over a sparse angular grid of directions and short temporal duration, by either measurement or calculation. Subsequent steps of the algorithm comprise multilevel aggregation of delayed sub-array contributions. This process continues until the transient radiation pattern of the whole array is obtained. At each level, the radiation pattern is interpolated to a finer angular grid of observations and steering directions followed by temporal delay compensation. The multilevel array decomposition algorithm attains a computational complexity substantially lower than that of the direct evaluation. Furthermore, the algorithm is particularly efficient for large arrays with large numbers of elements.
KW - Antenna transient analysis
KW - Computation time
KW - Delays
KW - Domain decomposition
KW - Time-delay arrays
KW - Transient analysis
KW - Ultrawideband (UWB) antennas
KW - Ultrawideband communication
UR - http://www.scopus.com/inward/record.url?scp=37249022405&partnerID=8YFLogxK
U2 - 10.1109/TAP.2007.910482
DO - 10.1109/TAP.2007.910482
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AN - SCOPUS:37249022405
SN - 0018-926X
VL - 55
SP - 3421
EP - 3432
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 12
ER -