JPH1127031A - Setting method for exciting amplitude and phase of array antenna - Google Patents

Setting method for exciting amplitude and phase of array antenna

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Publication number
JPH1127031A
JPH1127031A JP19340697A JP19340697A JPH1127031A JP H1127031 A JPH1127031 A JP H1127031A JP 19340697 A JP19340697 A JP 19340697A JP 19340697 A JP19340697 A JP 19340697A JP H1127031 A JPH1127031 A JP H1127031A
Authority
JP
Japan
Prior art keywords
phase
excitation
amplitude
radiation pattern
antenna
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
JP19340697A
Other languages
Japanese (ja)
Other versions
JP3086195B2 (en
Inventor
Kenichi Hario
健一 針生
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
JISEDAI EISEI TSUSHIN HOSO SYS
JISEDAI EISEI TSUSHIN HOSO SYST KENKYUSHO KK
Original Assignee
JISEDAI EISEI TSUSHIN HOSO SYS
JISEDAI EISEI TSUSHIN HOSO SYST KENKYUSHO KK
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by JISEDAI EISEI TSUSHIN HOSO SYS, JISEDAI EISEI TSUSHIN HOSO SYST KENKYUSHO KK filed Critical JISEDAI EISEI TSUSHIN HOSO SYS
Priority to JP09193406A priority Critical patent/JP3086195B2/en
Publication of JPH1127031A publication Critical patent/JPH1127031A/en
Application granted granted Critical
Publication of JP3086195B2 publication Critical patent/JP3086195B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Abstract

PROBLEM TO BE SOLVED: To set the amplitude and phase which are optimum to every element antenna to obtain a desired antenna pattern. SOLUTION: In regard to an array antenna having plural element antennas, variable phase shifters and variable amplitude units, the radiation power is measured at plural points and an evaluation function is decided to show the difference between the measured radiation power and the radiation power which is calculated from the initialization value of the amplitude and phase. The exciting phase is varied to decide an exciting phase that minimizes the evaluation function (1), and the evaluation function obtained in (1) is minimized by varying both exciting amplitude and phase (2). Thus, the exciting amplitude and phase which are optimum to every element antenna are decided to obtain a desired antenna pattern.

Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】この発明は、例えば、通信用
やレーダ用のアレーアンテナの所望のパターンを得るた
めの最適な励振振幅と励振位相の設定方法に関するもの
である。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for setting an optimum excitation amplitude and excitation phase for obtaining a desired pattern of an array antenna for communication or radar, for example.

【0002】[0002]

【従来の技術】従来のアレーアンテナ方式の励振振幅・
位相の設定方法について説明する前に、まず、簡単にア
レーアンテナの動作について説明する。図4は、送信を
例にしたアレーアンテナの構成図であり、31は送信
機、32は電力分配器、33は可変移相器、34は可変
振幅器、35は素子アンテナである。送信機31からの
信号は、電力分配器32によって分配され、分配された
信号は、可変移相器33によって位相が変えられ、さら
に可変振幅器34によって振幅が変えられ、素子アンテ
ナ35によって空間に放射される。このとき、所望のア
ンテナ放射パターンを得るためには上記可変移相器33
に所定の励振位相を、可変振幅器34に所定の励振振幅
を設定をしなければならない。上記励振振幅と励振位相
は、所望の放射パターンが得られるように予め計算して
おき、例えば、励振振幅については放射パターンのサイ
ドローブレベルを低減するようなテイラー分布を与え、
また励振位相については放射パターンの主ビーム方向を
所望の方向に指向させるような位相量を与える。このよ
うに、アレーアンテナには励振振幅と励振位相を設定す
るが、これらの値は実際には(マイクロ波帯において
は)素子アンテナ間の相互結合、周囲環境からの反射、
上記送信機31から素子アンテナ35までの給電回路の
振幅誤差や位相誤差などの影響を受け、これらを考慮し
て設定しなければならないので所望の放射パターンがな
かなか得られないのが実状である。また、上記給電回路
の故障などによって励振振幅と励振位相が変わり、所望
の放射パターンが得られない場合もある。
2. Description of the Related Art The excitation amplitude and
Before describing the method of setting the phase, first, the operation of the array antenna will be briefly described. FIG. 4 is a configuration diagram of an array antenna taking transmission as an example, where 31 is a transmitter, 32 is a power divider, 33 is a variable phase shifter, 34 is a variable amplitude device, and 35 is an element antenna. The signal from the transmitter 31 is distributed by a power distributor 32, and the distributed signal is changed in phase by a variable phase shifter 33, further, is changed in amplitude by a variable amplitude unit 34, and is converted into a space by an element antenna 35. Radiated. At this time, in order to obtain a desired antenna radiation pattern, the variable phase shifter 33 is used.
Must be set to a predetermined excitation phase, and the variable amplitude unit 34 must be set to a predetermined excitation amplitude. The excitation amplitude and the excitation phase are calculated in advance so that a desired radiation pattern is obtained.For example, for the excitation amplitude, a Taylor distribution that reduces the side lobe level of the radiation pattern is given.
As for the excitation phase, a phase amount that directs the main beam direction of the radiation pattern in a desired direction is given. As described above, the excitation amplitude and the excitation phase are set for the array antenna, and these values are actually (in the microwave band) the mutual coupling between the element antennas, the reflection from the surrounding environment,
In practice, it is difficult to obtain a desired radiation pattern because the power supply circuit from the transmitter 31 to the element antenna 35 is affected by an amplitude error and a phase error. In addition, a desired radiation pattern may not be obtained due to a change in the excitation amplitude and the excitation phase due to a failure of the power supply circuit or the like.

【0003】このため、従来のアレーアンテナ方式で
は、「数1」で示されるような評価関数に、上記種々の
理由により所望の放射パターンから変化した放射パター
ン(以下、エラー放射パターンと呼ぶ)の電力値Pom を
与えて、実際の様々な影響や誤差を含んだ励振振幅と励
振位相を推定し、その推定された励振振幅と励振位相か
ら給電回路等の誤差を含めて最終的に所望の放射パター
ンを得るための最適な励振振幅と励振位相を求めてい
た。
[0003] Therefore, in the conventional array antenna system, an evaluation function such as that shown by "Equation 1" is used to calculate a radiation pattern (hereinafter, referred to as an error radiation pattern) changed from a desired radiation pattern for the above various reasons. Given the power value Pom, the excitation amplitude and the excitation phase including actual various effects and errors are estimated, and finally the desired radiation including the error of the power supply circuit etc. is estimated from the estimated excitation amplitude and the excitation phase. The optimum excitation amplitude and excitation phase for obtaining the pattern were determined.

【0004】1989年電子情報通信学会秋季全国大会
のB−13において、従来のアレーアンテナ方式の励振
振幅・位相の設定方法の一例が発表されている。
[0004] An example of a method for setting the excitation amplitude and phase of the conventional array antenna system was announced in B-13 of the 1989 IEICE Autumn National Convention.

【0005】[0005]

【数1】 上記「数1」を参照して従来のアレーアンテナ方式につ
いて説明する。「数1」は励振振幅Anと励振位相Pnの関
数であり、これらAnとPnに適当な初期設定値を代入し
て、数1の評価関数を最小にするAnとPnを求める。上記
初期設定値としては、所定の放射パターンとなる励振振
幅と励振位相を与える。
(Equation 1) The conventional array antenna system will be described with reference to the above “Equation 1”. “Equation 1” is a function of the excitation amplitude An and the excitation phase Pn. An appropriate initial set value is substituted for these An and Pn, and An and Pn that minimize the evaluation function of Equation 1 are obtained. As the initial setting values, an excitation amplitude and an excitation phase serving as a predetermined radiation pattern are given.

【0006】上記評価関数が最小になるということは、
所定の放射パターンの励振振幅・位相(計算値)から変
化させることにより該放射パターンがエラー放射パター
ンに一致することを意味するので、「数1」の評価関数
が最小となるためのAnとPnはエラー放射パターンの励振
振幅と励振位相となる。このように求められたエラー放
射パターンの励振振幅と励振位相が推定されれば、所望
の放射パターンを得るための最適な励振振幅と励振位相
と初期設定値の差が分かるので、その差を補正するよう
な励振振幅と励振位相をそれぞれ上記可変振幅器34と
可変移相器33に与えれば本来の所望の放射パターンが
得られることになる。
The minimization of the above evaluation function means that
By changing from the excitation amplitude / phase (calculated value) of a predetermined radiation pattern, it is meant that the radiation pattern matches the error radiation pattern. Therefore, An and Pn for minimizing the evaluation function of "Equation 1" Are the excitation amplitude and excitation phase of the error radiation pattern. If the excitation amplitude and the excitation phase of the error radiation pattern obtained in this way are estimated, the difference between the excitation amplitude, the excitation phase, and the initial set value that is optimal for obtaining the desired radiation pattern can be determined, and the difference is corrected. By giving the excitation amplitude and the excitation phase as described above to the variable amplitude unit 34 and the variable phase shifter 33, respectively, an original desired radiation pattern can be obtained.

【0007】[0007]

【発明が解決しようとする課題】以上のような従来のア
レーアンテナの励振振幅・位相の設定方法では、励振振
幅Anと励振位相Pnの初期値として、所望の放射パターン
の励振振幅と励振位相を与えて解析すると、例えば、エ
ラー放射パターンと所望の放射パターンの差が大きいと
き、言い替えれば上記初期値と誤差を含んだ上での最適
な励振振幅と励振位相との差が大きい場合、目的である
エラー放射パターンの励振振幅と励振位相が正確に推定
できないという問題点があった。
In the conventional method for setting the excitation amplitude and phase of an array antenna as described above, the excitation amplitude and excitation phase of a desired radiation pattern are set as initial values of the excitation amplitude An and the excitation phase Pn. Given and analyzed, for example, when the difference between the error radiation pattern and the desired radiation pattern is large, in other words, when the difference between the optimal excitation amplitude and excitation phase including the initial value and the error is large, There is a problem that the excitation amplitude and the excitation phase of a certain error radiation pattern cannot be accurately estimated.

【0008】例えば、図5は6個の素子アンテナ35を
半波長間隔で直線状に配列したリニアアレーアンテナで
あるが、このリニアアレーアンテナのすべての素子アン
テナ35に等しい励振振幅(すべて-7.8dB)と等しい励
振位相(すべて0゜)を与えた場合、そのときの所望の
放射パターンは図6に示すような0度方向に主ビームを
もつ放射パターンとなる。これに対して、励振振幅を図
5に示す素子アンテナ35の右の素子アンテナ5から-1
0.6dB ,-8.6dB,-5.6dB,-5.6dB,-8.6dB,-10.6dB と
し、さらに励振位相を図5に示す素子アンテナ35の右
の素子アンテナ5から0゜,-61.6 ゜,-123.2゜,175.
2 ゜,113.6 ゜,52.0゜とする図7に示すエラー放射パ
ターンを定義し、従来のアレーアンテナの励振振幅・位
相の設定方法を用いて励振振幅と励振位相を推定する
と、その励振振幅は図5に示す素子アンテナ35の右の
素子アンテナ35から-19.4dB ,-8.5dB,-6.1dB,-5.6
dB,-6.5dB,-9.8dBとなり、その励振位相は図5に示す
素子アンテナ35の右の素子アンテナ35から0゜,-1
14.4゜,173.7 ゜,111.1 ゜,49.3゜,-23.0 ゜とな
り、明らかに前記励振振幅と励振位相の差が正確に推定
できていない。因みに、上記従来の方式で推定された上
記励振振幅と励振位相による放射パターンを図8に示
す。図8と図7に示すエラー放射パターンはあまり一致
していないことがわかる。
For example, FIG. 5 shows a linear array antenna in which six element antennas 35 are linearly arranged at half-wavelength intervals, and the excitation amplitude (all -7.8 dB) is equal to all the element antennas 35 of this linear array antenna. ), The desired radiation pattern at that time is a radiation pattern having a main beam in the 0-degree direction as shown in FIG. On the other hand, the excitation amplitude is -1 from the element antenna 5 on the right of the element antenna 35 shown in FIG.
0.6 dB, -8.6 dB, -5.6 dB, -5.6 dB, -8.6 dB, -10.6 dB, and the excitation phase is 0 °, -61.6 °, -6 ° from the element antenna 5 on the right of the element antenna 35 shown in FIG. 123.2 ゜, 175.
The error radiation pattern shown in Fig. 7 is defined as 2 2, 113.6 ゜, and 52.0 ゜, and the excitation amplitude and the excitation phase are estimated using the conventional method of setting the excitation amplitude and phase of the array antenna. -19.4 dB, -8.5 dB, -6.1 dB, -5.6 from the element antenna 35 on the right of the element antenna 35 shown in FIG.
dB, -6.5 dB, and -9.8 dB, and the excitation phase is 0 °, -1 from the element antenna 35 on the right of the element antenna 35 shown in FIG.
14.4 ゜, 173.7 ゜, 111.1 ゜, 49.3 ゜, -23.0 ゜, and the difference between the excitation amplitude and the excitation phase could not be estimated accurately. FIG. 8 shows a radiation pattern based on the excitation amplitude and the excitation phase estimated by the conventional method. It can be seen that the error radiation patterns shown in FIG. 8 and FIG.

【0009】本発明のアレーアンテナの励振振幅・位相
の設定方法は上記のような問題点を解決するためになさ
れたもので、エラー放射パターンの励振振幅と励振位相
を正確に推定し、それを基に本来の所望のアンテナパタ
ーンを実現するのに最適な各素子アンテナの励振振幅と
励振位相を求める設定方法を提供することを目的として
いる。
The method for setting the excitation amplitude and phase of the array antenna according to the present invention has been made to solve the above-mentioned problems, and accurately estimates the excitation amplitude and the excitation phase of the error radiation pattern and calculates the estimated amplitude and phase. It is an object of the present invention to provide a setting method for obtaining an excitation amplitude and an excitation phase of each element antenna which are optimal for realizing an original desired antenna pattern based on the antenna pattern.

【0010】[0010]

【課題を解決するための手段】この発明のアレイアンテ
ナの励振振幅・位相の設定方法は、複数個の素子アンテ
ナと上記各素子アンテナに接続された可変移相器及び可
変振幅器を備えたアレーアンテナにおいて、所定の放射
パターンが得られるように励振振幅・位相が初期設定さ
れている上記アレーアンテナからの放射電力を複数の測
定点で測定し、該複数の測定点における上記放射電力の
実測値と、上記各素子アンテナの振幅・位相の初期設定
値から導かれる上記アレーアンテナの放射電力の計算値
の差を表わす評価関数を設け、第1段階では、振幅は初
期設定値のままで上記各素子アンテナの励振位相のみを
変えて上記評価関数を最小化することにより上記各素子
アンテナの励振位相を求め、次いで第2段階では、上記
第1段階で求めた励振位相及び振幅(初期設定値)を前
記アレーアンテナに与えて前記評価関数を求め、この評
価関数を上記各素子アンテナの励振振幅と励振位相を変
化させて最小化することにより、前記所望のアンテナパ
ターンを実現するのに最適な各素子アンテナの励振振幅
と励振位相を求めるアレーアンテナの励振振幅・位相の
設定方法である。
According to the present invention, there is provided a method for setting an excitation amplitude and a phase of an array antenna, comprising an array having a plurality of element antennas and a variable phase shifter and a variable amplitude unit connected to each of the element antennas. In the antenna, radiated power from the array antenna whose excitation amplitude and phase are initially set so as to obtain a predetermined radiation pattern is measured at a plurality of measurement points, and actual measured values of the radiated power at the plurality of measurement points are measured. And an evaluation function representing the difference between the calculated values of the radiated power of the array antenna derived from the initial values of the amplitude and phase of each of the element antennas. In the first stage, the amplitude remains unchanged from the initial value. By changing only the excitation phase of the element antenna and minimizing the evaluation function, the excitation phase of each of the element antennas was obtained. Then, in the second step, the excitation phase was obtained in the first step. By giving the vibration phase and amplitude (initial setting value) to the array antenna, the evaluation function is obtained, and the evaluation function is minimized by changing the excitation amplitude and the excitation phase of each of the element antennas, thereby obtaining the desired antenna. This is a method of setting an excitation amplitude and a phase of an array antenna for obtaining an excitation amplitude and an excitation phase of each element antenna which are optimal for realizing a pattern.

【0011】また、前記第1段階の励振位相を求める時
は、前記測定点として主ビームの中のいくつかの点をサ
ンプル点として選び、前記第2段階の励振振幅と励振位
相を求める時は、前記測定点として前記主ビームの中の
いくつかの点及びサイドローブの中のいくつかの点をサ
ンプル点として選ぶアレーアンテナの励振振幅・位相の
設定方法である。
Further, when obtaining the excitation phase in the first stage, some points in the main beam are selected as the measurement points as sample points, and when obtaining the excitation amplitude and the excitation phase in the second stage, And a method for setting an excitation amplitude and phase of an array antenna in which some points in the main beam and some points in side lobes are selected as the measurement points as sample points.

【0012】[0012]

【発明の実施の形態】図1は、この発明の一実施例を示
すフローチャートである。図1のフローチャートにした
がって本アレーアンテナの励振振幅・位相の設定方法に
ついて説明する。
FIG. 1 is a flowchart showing one embodiment of the present invention. A method for setting the excitation amplitude and phase of the present array antenna will be described with reference to the flowchart of FIG.

【0013】励振振幅と励振位相を推定すべきエラー放
射パターンにおいて、放射電力を複数の測定点で測定す
る(手順1)。例えば、図7はエラー放射パターンの一
例である。図7において、縦軸の指向性利得(Directiv
ity)の値が該パターンの放射電力の大きさを表わし、ま
た、横軸の角度(Angle)が測定点mを表わす。次に上記
複数の測定点mにおける所定の放射パターンが得られる
ように励振振幅・位相が初期設定されている上記各素子
アンテナ35の放射電界で表わされる上記アレーアンテ
ナの放射電力(計算値)と上記測定された放射電力(実
測値)Pom の差を表わす評価関数Fmを設定する(手順
2)。次に第1段階として、上記評価関数Fmを励振位相
Pnのみによって最小化する(手順3)。このような評価
関数の最小化には最急降下法などの非線形計画法を用い
る。このように評価関数Fmが最小になるときの励振位相
Pnを評価関数の第2段階の初期値として与え、再度この
評価関数を励振振幅Anと励振位相Pnの両方を変化させて
最小化する(従来方法と同じ)ことにより、エラー放射
パターンの励振振幅と励振位相が求められる。(この場
合、計算値と実測値の差を「エラー放射パターンの励振
振幅と励振位相」として求めており、アレーアンテナの
給電回路(図4の33、34)等において該励振振幅と
励振位相を打ち消すような励振振幅と励振位相を与える
ことにより、求める本来の放射パターンとなるのであ
る。)
In the error radiation pattern whose excitation amplitude and excitation phase are to be estimated, the radiation power is measured at a plurality of measurement points (procedure 1). For example, FIG. 7 is an example of an error radiation pattern. In FIG. 7, the directional gain (Directiv
ity) represents the magnitude of the radiation power of the pattern, and the angle (Angle) of the horizontal axis represents the measurement point m. Next, the radiation power (calculated value) of the array antenna represented by the radiation electric field of each of the element antennas 35 whose excitation amplitude and phase are initially set so that a predetermined radiation pattern at the plurality of measurement points m is obtained. An evaluation function Fm representing the difference between the measured radiation power (actually measured value) Pom is set (step 2). Next, as the first step, the above evaluation function Fm is set to the excitation phase.
Minimize only by Pn (procedure 3). To minimize such an evaluation function, a nonlinear programming method such as a steepest descent method is used. Excitation phase when the evaluation function Fm is minimized
By giving Pn as the initial value of the second stage of the evaluation function and again minimizing this evaluation function by changing both the excitation amplitude An and the excitation phase Pn (same as the conventional method), the excitation amplitude of the error radiation pattern is obtained. And the excitation phase. (In this case, the difference between the calculated value and the actually measured value is determined as “excitation amplitude and excitation phase of the error radiation pattern”, and the excitation amplitude and the excitation phase are determined by the feeder circuit (33, 34 in FIG. 4) of the array antenna or the like. By giving the excitation amplitude and excitation phase that cancel each other, the desired radiation pattern is obtained.)

【0014】図2は、この発明の一実施例のさらに詳細
なフローチャートを示す。上記図2のフローチャートに
したがって本アレーアンテナの励振振幅・位相の設定方
法について説明する。初めに図1と同様に励振振幅と励
振位相を推定すべきエラー放射パターンにおいて、放射
電力を複数の測定点で測定するが、ここでは上記第1段
階の測定点は主ビーム中からのみ選ぶ(手順5)。これ
は、一般にアレーアンテナの主ビームの特性を決めるの
は主に各素子の励振位相であり、サイドビームの特性を
決めるのが主に各素子の励振振幅であることを利用した
ものである。
FIG. 2 shows a more detailed flowchart of one embodiment of the present invention. A method for setting the excitation amplitude and phase of the present array antenna will be described with reference to the flowchart of FIG. First, in the error radiation pattern in which the excitation amplitude and the excitation phase are to be estimated as in FIG. 1, the radiation power is measured at a plurality of measurement points. Here, the measurement points in the first stage are selected only from the main beam ( Procedure 5). This is based on the fact that the characteristics of the main beam of the array antenna are generally determined mainly by the excitation phase of each element, and the characteristics of the side beam are mainly determined by the excitation amplitude of each element.

【0015】そして図1と同様に、第1段階では、上記
複数の測定点mにおける所定の放射パターンが得られる
ように励振振幅・位相が初期設定されている上記各素子
アンテナ35の放射電界で表わされる上記アレーアンテ
ナの放射電力(計算値)と上記測定された放射電力(実
測値)Pom の差を表わす評価関数Fmを設定し(手順
6)、上記評価関数Fmを励振位相Pnのみの変化によって
最小化する(手順7)。次に第2段階では前記第1段階
で求めた振幅と位相で励振し、再びエラー放射パターン
に対して放射電力を複数の測定点で測定するが、今度は
上記測定点は主ビーム中及びサイドローブ中から選ぶ
(手順8)。そして最後に上記複数の測定点jにおける
所定の放射パターンが得られるように励振振幅・位相が
初期設定されている上記各素子アンテナ35の放射電界
で表わされる上記アレーアンテナの放射電力(計算値)
と上記測定された放射電力(実測値)Poj の差を表わす
評価関数Fjを設定し(手順9)、上記評価関数Fjを励振
振幅Anと励振位相Pnの両方によって最小化することによ
り、エラー放射パターンの励振振幅と励振位相が求めら
れる(手順10)。
As in FIG. 1, in the first stage, the radiated electric field of each of the element antennas 35 whose excitation amplitude and phase are initially set so as to obtain a predetermined radiation pattern at the plurality of measurement points m is obtained. An evaluation function Fm representing the difference between the radiated power (calculated value) of the array antenna and the measured radiated power (actual value) Pom is set (step 6), and the evaluation function Fm is changed by only the excitation phase Pn. (Step 7). Next, in the second step, the excitation is performed with the amplitude and the phase obtained in the first step, and the radiated power is measured again at a plurality of measurement points with respect to the error radiation pattern. Choose from inside the robe (step 8). Finally, the radiated electric power (calculated value) of the array antenna represented by the radiated electric field of each of the element antennas 35 whose excitation amplitude and phase are initially set so as to obtain a predetermined radiation pattern at the plurality of measurement points j
By setting an evaluation function Fj representing a difference between the measured radiation power (actually measured value) Poj and the above (step 9), and minimizing the evaluation function Fj by both the excitation amplitude An and the excitation phase Pn, the error radiation The excitation amplitude and the excitation phase of the pattern are obtained (procedure 10).

【0016】ここで本方法を用いたシミュレーション結
果の一例を示す。従来例で示した図6を所望の放射パタ
ーンとして、図7をエラー放射パターンにした場合に本
方法を適用すると、推定された励振振幅は図5に示す素
子アンテナ35の右の素子アンテナ35から-10.5dB ,
-8.7dB,-5.5dB,-5.6dB,-8.7dB,-10.5dB となり、さ
らに推定された励振位相は図5に示す素子アンテナ5の
右の素子アンテナ5から0゜,-61.2 ゜,-121.0゜,17
7.2 ゜,117.9 ゜,55.3゜となり、エラー放射パターン
に設定されたものと比べ、励振振幅で最大0.1dB 、励振
位相で最大3.3゜の差で一致する結果となった。図3は
本方法によって推定された上記励振振幅と励振位相から
求めた放射パターンであり、図7のエラー放射パターン
と良く一致していることがわかり、本方法が正確に励振
振幅と励振位相が推定できることが明らかである。つま
り、本発明は二段階の手順から成り、第1段階で、所望
のパターンの主ビームの指向方向やビーム幅がエラーパ
ターンの主ビームの指向方向やビーム幅へ変化する時励
振位相が大きく寄与していることに着目して、前述した
ように第1段階で励振振幅はいじらずに、まず励振位相
のみを求めている。次に第2段階で、所望のパターンの
サイドローブの形状がエラーパターンのサイドローブの
形状へ変化する時、励振振幅が大きく寄与していること
に着目して、上記に示したように第1段階で得られた励
振位相を初期値として、最後に従来と同じように励振振
幅と励振位相の両方を変化させて最適値を求めているの
である。
Here, an example of a simulation result using the present method will be shown. When this method is applied when FIG. 6 shown in the conventional example is set as a desired radiation pattern and FIG. 7 is set as an error radiation pattern, the estimated excitation amplitude is calculated from the element antenna 35 on the right of the element antenna 35 shown in FIG. -10.5dB,
-8.7 dB, -5.5 dB, -5.6 dB, -8.7 dB, -10.5 dB, and the estimated excitation phase is 0 ゜, -61.2 ゜,-か ら from the element antenna 5 on the right of the element antenna 5 shown in FIG. 121.0 ゜, 17
7.2 ゜, 117.9 ゜, and 55.3 ゜. Compared to those set in the error radiation pattern, the results coincided with a difference of 0.1 dB at maximum in excitation amplitude and 3.3 最大 maximum in excitation phase. FIG. 3 shows a radiation pattern obtained from the above-described excitation amplitude and excitation phase estimated by the present method. It can be understood that the radiation pattern matches the error radiation pattern of FIG. 7 well. It is clear that it can be estimated. In other words, the present invention comprises a two-step procedure. In the first step, when the direction and beam width of the main beam of the desired pattern changes to the direction and beam width of the main beam of the error pattern, the excitation phase greatly contributes. Noting that the excitation amplitude is not changed in the first stage as described above, only the excitation phase is first determined. Next, in the second stage, when the shape of the side lobe of the desired pattern changes to the shape of the side lobe of the error pattern, attention is paid to the fact that the excitation amplitude greatly contributes. The excitation phase obtained in the step is used as an initial value, and finally, the optimum value is obtained by changing both the excitation amplitude and the excitation phase as in the conventional case.

【0017】なぜこのような2段階励振振幅と励振位相
を求めた方が正確に値が求まるかを図9を用いて、以下
に説明する。従来のように、励振振幅と励振位相を推定
すべきエラー放射パターンにおいて、放射電力を複数の
測定点で測定し、次に上記複数の測定点mにおける所定
の放射パターンが得られるように励振振幅・位相が初期
設定されている上記各素子アンテナの放射電界で表わさ
れる上記アレーアンテナの放射電力(計算値)と上記測
定された放射電力(実測値)Pom の差を表わす評価関数
Fmを設定し、この評価関数をいきなり励振振幅Anと励振
位相Pnの両方を変化させて最小化することによりエラー
放射パターンの励振振幅と励振位相を求めると、上記計
算値と上記実測値の差がかなり大きいような場合(マイ
クロ波の場合、給電回路の長さや曲がり具合等により給
電の振幅や位相は簡単に変わってしまうので、大いにあ
り得ることである)、評価関数の収束点が図9のローカ
ルミニマム点に陥ってしまい、本来のミニマム点に到達
しないことが多い。
The reason why the two-step excitation amplitude and the excitation phase are determined more accurately will be described below with reference to FIG. As in the prior art, in the error radiation pattern for which the excitation amplitude and the excitation phase are to be estimated, the radiation power is measured at a plurality of measurement points, and then the excitation amplitude is measured so that a predetermined radiation pattern at the plurality of measurement points m is obtained. An evaluation function that represents the difference between the radiated power (calculated value) of the array antenna represented by the radiated electric field of each element antenna whose phase is initially set and the measured radiated power (actually measured value) Pom
Fm is set, and this evaluation function is suddenly minimized by changing both the excitation amplitude An and the excitation phase Pn to obtain the excitation amplitude and the excitation phase of the error radiation pattern, and the difference between the calculated value and the actually measured value is obtained. Is very large (in the case of a microwave, the amplitude and phase of the power supply easily change depending on the length and the degree of bending of the power supply circuit, which is very likely), and the convergence point of the evaluation function is shown in FIG. Often falls into the local minimum point and does not reach the original minimum point.

【0018】この発明は、まず主ビームを支配する励振
位相のみを変化させて荒ぶるいに前記エラー放射パター
ンを推定し(図9のAの範囲に追い込み)、それから従
来と同様に励振振幅と励振位相を変化させて精密にエラ
ー放射パターンを推定しているので、ローカルミニマム
に落ち込むことが避けられる。
According to the present invention, the error radiation pattern is first roughly estimated by changing only the excitation phase that governs the main beam (to drive into the range of A in FIG. 9), and then the excitation amplitude and the excitation Since the error radiation pattern is accurately estimated by changing the phase, it is possible to avoid falling into the local minimum.

【0019】[0019]

【発明の効果】この発明は、以下に記載されるような効
果を奏する。前記エラー放射パターンに対応するアレー
アンテナからの放射電力を複数の測定点で測定し、上記
複数の測定点における所定の放射パターンが得られるよ
うに励振振幅・位相が初期設定されている上記各素子ア
ンテナの放射電界で表わされる上記アレーアンテナの放
射電力(計算値)と上記測定された放射電力(実測値)
の差を表わす評価関数を設け、まず第1段階で上記評価
関数を励振位相のみによって最小化するようにして求め
た励振位相を第2段階の初期値とし、次に上記初期値を
上記評価関数に与え、この評価関数を励振振幅と励振位
相によって最小化することにより、エラー放射パターン
と所望の放射パターンの差が大きいとき、言い替えれば
上記初期値と求める励振振幅・位相との差が大きい場合
でも、目的であるエラー放射パターンの励振振幅と励振
位相が正確に推定できる。
The present invention has the following effects. Each of the above-mentioned elements whose excitation amplitude and phase are initially set so that the radiation power from the array antenna corresponding to the error radiation pattern is measured at a plurality of measurement points and a predetermined radiation pattern at the plurality of measurement points is obtained. The radiated power of the array antenna expressed by the radiated electric field of the antenna (calculated value) and the measured radiated power (actual value)
The excitation function obtained by minimizing the evaluation function only by the excitation phase in the first stage is set as the initial value of the second stage, and the initial value is set to the evaluation function in the second stage. By minimizing this evaluation function by the excitation amplitude and the excitation phase, when the difference between the error radiation pattern and the desired radiation pattern is large, in other words, when the difference between the initial value and the excitation amplitude / phase to be obtained is large. However, the excitation amplitude and the excitation phase of the target error radiation pattern can be accurately estimated.

【0020】また、この発明は、上記複数の測定点にお
いて、上記第1段階で励振位相を求める際には放射パタ
ーンの主ビーム中の点を選び、上記第2段階で励振振幅
と励振位相を求める際には上記放射パターンの主ビーム
中の点とサイドローブ中の点を選ぶことにより、励振振
幅と励振位相を求める演算量が少なくできるできるとい
う効果がある。
Further, according to the present invention, at the plurality of measurement points, a point in the main beam of the radiation pattern is selected when the excitation phase is determined in the first step, and the excitation amplitude and the excitation phase are determined in the second step. By selecting points in the main beam and points in the side lobes of the radiation pattern, there is an effect that the amount of calculation for obtaining the excitation amplitude and the excitation phase can be reduced.

【図面の簡単な説明】[Brief description of the drawings]

【図1】この発明のアレーアンテナの励振振幅・位相の
設定方法の一実施例を示すフローチャートである。
FIG. 1 is a flowchart showing an embodiment of a method for setting an excitation amplitude and a phase of an array antenna according to the present invention.

【図2】この発明のアレーアンテナの励振振幅・位相の
設定方法の一実施例を示すさらに詳細なフローチャート
である。
FIG. 2 is a more detailed flowchart showing one embodiment of a method for setting an excitation amplitude and a phase of an array antenna according to the present invention.

【図3】この発明によって推定された励振振幅と励振位
相から求めた放射パターンを表わす図である。
FIG. 3 is a diagram showing a radiation pattern obtained from an excitation amplitude and an excitation phase estimated according to the present invention.

【図4】アレーアンテナの構成を示す図である。FIG. 4 is a diagram showing a configuration of an array antenna.

【図5】6個の素子アンテナから成るリニアアレーアン
テナの図である。
FIG. 5 is a diagram of a linear array antenna including six element antennas.

【図6】所望の放射パターンを表わす図である。FIG. 6 shows a desired radiation pattern.

【図7】実測されたエラー放射パターンを表わす図であ
る。
FIG. 7 is a diagram illustrating an actually measured error radiation pattern.

【図8】従来の方式によって推定された励振振幅と励振
位相から求めたエラー放射パターンを表わす図である。
FIG. 8 is a diagram showing an error radiation pattern obtained from an excitation amplitude and an excitation phase estimated by a conventional method.

【図9】従来例の評価関数のローカルミニマムを説明す
る図である。
FIG. 9 is a diagram illustrating a local minimum of an evaluation function of a conventional example.

【符号の説明】[Explanation of symbols]

1〜10 この発明のフローチャートの各手順 11 主ローブ 12〜15 サイドローブ 16〜18 主ローブにおけるエラーパターンの推定サ
ンプル点の例 19〜22 サイドローブにおけるエラーパターンの推
定サンプル点の例 31 送信機 32 電力分配器 33 可変位相器 34 可変振幅器 35 素子アンテナ
1 to 10 Each procedure of the flowchart of the present invention 11 Main lobe 12 to 15 Side lobe 16 to 18 Examples of estimated sample points of error pattern in main lobe 19 to 22 Examples of estimated sample points of error pattern in side lobe 31 Transmitter 32 Power divider 33 Variable phase shifter 34 Variable amplitude unit 35 Element antenna

Claims (2)

【特許請求の範囲】[Claims] 【請求項1】 複数個の素子アンテナと上記各素子アン
テナに接続された可変移相器及び可変振幅器を備えたア
レーアンテナにおいて、 所定の放射パターンが得られるように励振振幅・位相が
初期設定されている上記アレーアンテナからの放射電力
を複数の測定点で測定し、該複数の測定点における上記
放射電力の実測値と、上記各素子アンテナの振幅・位相
の初期設定値から導かれる上記アレーアンテナの放射電
力の計算値の差を表わす評価関数を設け、第1段階で
は、振幅は初期設定値のままで上記各素子アンテナの励
振位相のみを変えて上記評価関数を最小化することによ
り上記各素子アンテナの励振位相を求め、次いで第2段
階では、上記第1段階で求めた励振位相及び振幅(初期
設定値)を前記アレーアンテナに与えて同様に前記評価
関数を求め、この評価関数を上記各素子アンテナの励振
振幅と励振位相の両方を変化させて最小化することによ
り、前記所定のアンテナ放射パターンを実現するのに最
適な各素子アンテナの励振振幅と励振位相を求めること
を特徴とするアレーアンテナの励振振幅・位相の設定方
法。
1. An array antenna comprising a plurality of element antennas and a variable phase shifter and a variable amplitude unit connected to each of the element antennas, the excitation amplitude and phase are initially set so as to obtain a predetermined radiation pattern. The measured radiated power from the array antenna is measured at a plurality of measurement points, and the array derived from the actual measured values of the radiated power at the plurality of measurement points and the initial set values of the amplitude and phase of each element antenna are measured. An evaluation function representing the difference between the calculated values of the radiated power of the antennas is provided. In the first stage, the amplitude is kept at the initial setting value, and only the excitation phase of each element antenna is changed to minimize the evaluation function. The excitation phase of each element antenna is determined, and then, in the second step, the excitation phase and amplitude (initial setting values) determined in the first step are given to the array antenna, and A minimum value function is obtained, and this evaluation function is minimized by changing both the excitation amplitude and the excitation phase of each of the above-described element antennas, so that the excitation amplitude of each of the element antennas optimal for realizing the predetermined antenna radiation pattern is obtained. And a method for setting an excitation amplitude and a phase of an array antenna, wherein the excitation amplitude and the phase are obtained.
【請求項2】 前記第1段階の励振位相を求める時は、
前記測定点として主ビームの中のいくつかの点をサンプ
ル点として選び、前記第2段階の励振振幅と励振位相を
求める時は、前記測定点として前記主ビームの中のいく
つかの点及びサイドローブの中のいくつかの点をサンプ
ル点として選ぶことを特徴とする請求項1記載のアレー
アンテナの励振振幅・位相の設定方法。
2. When obtaining the excitation phase in the first stage,
When several points in the main beam are selected as the measurement points as sample points, and when the excitation amplitude and the excitation phase in the second stage are obtained, some points in the main beam and side points are used as the measurement points. 2. The method according to claim 1, wherein some points in the lobe are selected as sample points.
JP09193406A 1997-07-04 1997-07-04 Setting method of excitation amplitude and phase of array antenna Expired - Fee Related JP3086195B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP09193406A JP3086195B2 (en) 1997-07-04 1997-07-04 Setting method of excitation amplitude and phase of array antenna

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP09193406A JP3086195B2 (en) 1997-07-04 1997-07-04 Setting method of excitation amplitude and phase of array antenna

Publications (2)

Publication Number Publication Date
JPH1127031A true JPH1127031A (en) 1999-01-29
JP3086195B2 JP3086195B2 (en) 2000-09-11

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ID=16307435

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Country Status (1)

Country Link
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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2003124732A (en) * 2001-08-07 2003-04-25 Mitsubishi Electric Corp Array antenna device
JP2010249748A (en) * 2009-04-17 2010-11-04 Nec Corp Radar control device, radar monitor covering-region setting method, and radar monitor covering-region setting program used for the device
JP2012165389A (en) * 2005-11-02 2012-08-30 Qualcomm Inc Antenna array calibration for wireless communication systems
US9118111B2 (en) 2005-11-02 2015-08-25 Qualcomm Incorporated Antenna array calibration for wireless communication systems
US20180115065A1 (en) * 2016-10-26 2018-04-26 International Business Machines Corporation In-field millimeter-wave phased array radiation pattern estimation and validation

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2003124732A (en) * 2001-08-07 2003-04-25 Mitsubishi Electric Corp Array antenna device
JP2012165389A (en) * 2005-11-02 2012-08-30 Qualcomm Inc Antenna array calibration for wireless communication systems
US9118111B2 (en) 2005-11-02 2015-08-25 Qualcomm Incorporated Antenna array calibration for wireless communication systems
JP2010249748A (en) * 2009-04-17 2010-11-04 Nec Corp Radar control device, radar monitor covering-region setting method, and radar monitor covering-region setting program used for the device
US20180115065A1 (en) * 2016-10-26 2018-04-26 International Business Machines Corporation In-field millimeter-wave phased array radiation pattern estimation and validation
US11824272B2 (en) 2016-10-26 2023-11-21 International Business Machines Corporation In-field millimeter-wave phased array radiation pattern estimation and validation

Also Published As

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