Asymptotic Feature of an Adaptive Array and Its Application to Array Pattern Synthesis

Masaharu FUJITA; Kazuaki TAKAO

Asymptotic Feature of an Adaptive Array and Its Application to Array Pattern Synthesis

Masaharu FUJITA, Kazuaki TAKAO

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A symptotic equivalency between the adaptive array under directional constraint and the synthesized array with maximum directive gain subject to null constraint is proved analytically. (The analytical expression of the solution of the latter which has only been treated numerically is derived here.) Method of analysis is based on the orthogonal projection of a vector in the multidimensional space with properly chosen base. The results of adaptive and conventional methods are given in closed forms and their proportional relationship is shown obviously. Based on the characteristics of the adaptive array which gives the maximum output signal-to-noise ratio, its application to the pattern synthesis problem is investigated for the environment of various combinations of the interference and internal noise. Special emphasis is laid upon the case of super-gain phenomenon, where the angular separation between the desired signal and interference is very close. Even in this case, the adaptive technique does not require any introduction of additional parameters like Q-factor, but guarantees the optimum solution by virtue of its guiding principle. It is also shown that the adaptive technique always gives higher output signal-to-noise ratio than the conventional synthesis method. Some numerical examples are presented to prove the discussions clearly.

Publication: IEICE TRANSACTIONS on transactions Vol.E61-E No.8 pp.599-603

Publication Date: 1978/08/25

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Type of Manuscript: PAPER

Category: Antenna and Propagation

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Masaharu FUJITA
Kazuaki TAKAO

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Masaharu FUJITA, Kazuaki TAKAO, "Asymptotic Feature of an Adaptive Array and Its Application to Array Pattern Synthesis" in IEICE TRANSACTIONS on transactions, vol. E61-E, no. 8, pp. 599-603, August 1978, doi: .
Abstract: A symptotic equivalency between the adaptive array under directional constraint and the synthesized array with maximum directive gain subject to null constraint is proved analytically. (The analytical expression of the solution of the latter which has only been treated numerically is derived here.) Method of analysis is based on the orthogonal projection of a vector in the multidimensional space with properly chosen base. The results of adaptive and conventional methods are given in closed forms and their proportional relationship is shown obviously. Based on the characteristics of the adaptive array which gives the maximum output signal-to-noise ratio, its application to the pattern synthesis problem is investigated for the environment of various combinations of the interference and internal noise. Special emphasis is laid upon the case of super-gain phenomenon, where the angular separation between the desired signal and interference is very close. Even in this case, the adaptive technique does not require any introduction of additional parameters like Q-factor, but guarantees the optimum solution by virtue of its guiding principle. It is also shown that the adaptive technique always gives higher output signal-to-noise ratio than the conventional synthesis method. Some numerical examples are presented to prove the discussions clearly.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_8_599/_p

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@ARTICLE{e61-e_8_599,
author={Masaharu FUJITA, Kazuaki TAKAO, },
journal={IEICE TRANSACTIONS on transactions},
title={Asymptotic Feature of an Adaptive Array and Its Application to Array Pattern Synthesis},
year={1978},
volume={E61-E},
number={8},
pages={599-603},
abstract={A symptotic equivalency between the adaptive array under directional constraint and the synthesized array with maximum directive gain subject to null constraint is proved analytically. (The analytical expression of the solution of the latter which has only been treated numerically is derived here.) Method of analysis is based on the orthogonal projection of a vector in the multidimensional space with properly chosen base. The results of adaptive and conventional methods are given in closed forms and their proportional relationship is shown obviously. Based on the characteristics of the adaptive array which gives the maximum output signal-to-noise ratio, its application to the pattern synthesis problem is investigated for the environment of various combinations of the interference and internal noise. Special emphasis is laid upon the case of super-gain phenomenon, where the angular separation between the desired signal and interference is very close. Even in this case, the adaptive technique does not require any introduction of additional parameters like Q-factor, but guarantees the optimum solution by virtue of its guiding principle. It is also shown that the adaptive technique always gives higher output signal-to-noise ratio than the conventional synthesis method. Some numerical examples are presented to prove the discussions clearly.},
keywords={},
doi={},
ISSN={},
month={August},}

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TY - JOUR
TI - Asymptotic Feature of an Adaptive Array and Its Application to Array Pattern Synthesis
T2 - IEICE TRANSACTIONS on transactions
SP - 599
EP - 603
AU - Masaharu FUJITA
AU - Kazuaki TAKAO
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 8
JA - IEICE TRANSACTIONS on transactions
Y1 - August 1978
AB - A symptotic equivalency between the adaptive array under directional constraint and the synthesized array with maximum directive gain subject to null constraint is proved analytically. (The analytical expression of the solution of the latter which has only been treated numerically is derived here.) Method of analysis is based on the orthogonal projection of a vector in the multidimensional space with properly chosen base. The results of adaptive and conventional methods are given in closed forms and their proportional relationship is shown obviously. Based on the characteristics of the adaptive array which gives the maximum output signal-to-noise ratio, its application to the pattern synthesis problem is investigated for the environment of various combinations of the interference and internal noise. Special emphasis is laid upon the case of super-gain phenomenon, where the angular separation between the desired signal and interference is very close. Even in this case, the adaptive technique does not require any introduction of additional parameters like Q-factor, but guarantees the optimum solution by virtue of its guiding principle. It is also shown that the adaptive technique always gives higher output signal-to-noise ratio than the conventional synthesis method. Some numerical examples are presented to prove the discussions clearly.
ER -