KR101144012B1 - Phased array antenna system providing nulling in the direction of jammer and control method of the same - Google Patents

Abstract

The present invention includes one or more antenna elements, one or more phase controllers connected to each antenna element, and one or more controllers for determining phase adjustment values of each phase controller, wherein the controller comprises a gain in the main beam direction. The present invention provides a phased array antenna system and a method of controlling the same, wherein phase adjustment values are determined by performing an iterative operation such that errors of a plurality of jamming signal directions converge within a tolerance.

Description

PHASED ARRAY ANTENNA SYSTEM PROVIDING NULLING IN THE DIRECTION OF JAMMER AND CONTROL METHOD OF THE SAME}

The present invention relates to a phased array antenna system and a control method thereof. More particularly, the present invention relates to a phased array antenna system and a method of controlling the phased array antenna that form nulls for a plurality of jamming signal directions based on phases while maintaining gain in the main beam direction. .

In the case where there is a malicious jamming signal attack on the phased array antenna system, a method for maintaining the normal operation even if the phased array system is interrupted from its original purpose of communication, sensing, and tracking has been proposed.

The prior art is based on the fact that the weight of a phased array antenna is determined by a linear combination of the main beam direction and the jamming signal direction, so that the number of non-linear as many jamming signals as possible to cause nulls to be formed in the known jamming signal direction. We used a method of solving linear homogeneous equations using homogeneous equations or approximations. However, the method has a disadvantage in that when the number of jamming signals is increased, the order of the equation is increased and the amount of calculation is increased to cope with the jamming environment in a short time.

In addition, the conventional technique is based on the fact that the phase change of each antenna path of the phased array antenna required for nulling of the jamming signal is not large, and thus, each phase is changed randomly in a very small range to find a desired value. Was used. However, this method has a disadvantage in that reliability is not secured because the corresponding time for the jamming signal is not constant.

On the other hand, a lot of research has been made on the method of forming a null for the jamming signal by fixing the gain of the reception path of each antenna and adjusting only the phase, so that the implementation of the system by the above method is relatively easy. However, as a result of the above research, it is only analytically found that the phase of the weight is formed by the linear combination of the main beam direction and the jamming signal direction, and the variable defining the linear combination is still determined randomly. The method is used, and there is a problem that the method is not guaranteed reliability.

Accordingly, an object of the present invention is to solve the above problems.

Specifically, an object of the present invention is to provide a phased array antenna system and a control method thereof which can be calculated in a fast time irrespective of the number of jamming signals and that the corresponding times are consistently reliable to remove jamming signals. . For this purpose, the phase adjustment value is determined such that the gain for the plurality of jamming signal directions is reduced while the gain in the main beam direction is maintained, and the phase adjustment value is adjusted so that an error according to the phase adjustment value is reached within an allowable range by an iterative operation. It is in presenting a way to make a decision.

In order to achieve the above object, the present invention provides a phased array antenna system for forming a null in the jamming signal direction.

The phased array antenna system includes one or more antenna elements; One or more phase controllers connected to the respective antenna elements; One or more controllers may be configured to determine phase adjustment values (γ) of the respective phase controllers, and the controllers may include a sum of errors based on gains in a plurality of jamming signal directions within a tolerance while maintaining gains in a main beam direction. Iterative operation may be performed to determine the phase adjustment values.

The iterative operation may include calculating an updated phase adjustment value based on a partial derivative of the current phase adjustment value and the phase adjustment value of the current overall error.

In calculating the updated phase control value, an approximation equation of the cosine function of the phase change amount Γ to which Taylor series expansion is applied may be used.

In calculating the updated phase control value, an approximation equation of the sine function of the phase change amount Γ to which Taylor series expansion is applied may be used.

Before the iterative operation is performed, the controller may calculate the sine function and the cosine function of the plurality of jamming signal directions, and use the result of the calculation of the sine function and the cosine function in the iterative operation.

The phased array antenna system may further include one or more gain controllers connected to the respective antenna elements, and the control unit may determine gain adjustment values of the respective gain controllers so that the gain in the main beam direction is maintained. Can be.

On the other hand, the present invention provides a control method of a phased array antenna system for forming a null in the jamming signal direction to achieve the above object.

The method is a control method of a phased array antenna system comprising one or more antenna elements and one or more phase controllers connected to the respective antenna elements, wherein the gain of the plurality of jamming signal directions is maintained while the gain of the main beam direction is maintained. And performing phase iteration so that the error based on converges within the tolerance to determine phase adjustment values γ of each phase controller.

The error in the jamming signal direction may be calculated based on a current phase change amount Γ, and the current phase change amount Γ may be calculated based on a current phase adjustment value.

The iterative operation may include calculating an updated phase adjustment value based on a partial derivative of the current phase adjustment value and the phase adjustment value of the current overall error.

In calculating the updated phase control value, an approximation equation of the cosine function of the phase change amount Γ to which Taylor series expansion is applied may be used.

In calculating the updated phase control value, an approximation equation of the sine function of the phase change amount Γ to which Taylor series expansion is applied may be used.

Before the iterative operation is performed, the controller may calculate the sine function and the cosine function of the plurality of jamming signal directions, and use the result of the calculation of the sine function and the cosine function in the iterative operation.

Meanwhile, the method includes a phased array antenna system including one or more antenna elements, one or more phase controllers connected to the respective antenna elements, and one or more gain controllers connected to the respective antenna elements. It is a control method of, and iterative operation is performed so that the error of the plurality of jamming signal direction converges within the tolerance while the gain in the main beam direction is maintained, and the gain adjustment of the phase control values (γ) of each phase controller and each gain controller. Determining the values.

According to the present invention, a null is formed only in phase with respect to the jamming signal direction, but the phase control value is not randomly determined, but the error and phase change amount defined as the sum of gains in each jamming signal direction are obtained, and the sum of the errors is a tolerance. By determining in such a way that iterative operations are converged within, the time corresponding to the jamming signal is reliably maintained.

In addition, the present invention simplifies and repeats the iterative operation by applying the sine function and the cosine function approximated to the iterative operation.

Furthermore, the phased array system according to the present invention does not increase the computation time for forming a null even if the number of jamming signals increases. That is, when the number of jamming signals is increased, the calculation is performed as much as the number of jamming signals increased in the process of obtaining a phase change amount, an error, and a partial differential value of the phase adjustment value of the error. As described above, since the partial deviation of the error and the phase adjustment value of the error can be obtained relatively simply by simple arithmetic operation, the calculation time for determining the amount of phase change to form a null does not increase significantly.

1 illustrates a configuration of an embodiment of a phased array antenna system according to the present invention, a communication system connected to the phased array antenna system, and a coordinate system for an incident wave.
2 is a flowchart illustrating an embodiment of a method of controlling a phased array antenna system according to the present invention.
3 is a graph showing a change in error according to an embodiment of a method of controlling a phased array antenna system according to the present invention.
4 is a graph illustrating a nulling pattern of a linear array antenna according to an embodiment of a method of controlling a phased array antenna system according to the present invention.

The present invention is applied to a phased array antenna system. However, the present invention is not limited thereto and may be applied to all communication systems and methods to which the technical spirit of the present invention may be applied.

It is to be noted that the technical terms used herein are merely used to describe particular embodiments, and are not intended to limit the present invention. It is also to be understood that the technical terms used herein are to be interpreted in a sense generally understood by a person skilled in the art to which the present invention belongs, Should not be construed to mean, or be interpreted in an excessively reduced sense. In addition, when the technical terms used herein are incorrect technical terms that do not accurately express the spirit of the present invention, they should be replaced with technical terms that can be understood correctly by those skilled in the art. In addition, the general terms used in the present invention should be interpreted as defined in the dictionary or according to the context before and after, and should not be interpreted in an excessively reduced sense.

Also, the singular forms "as used herein include plural referents unless the context clearly dictates otherwise. In the present application, terms such as “consisting of” or “comprising” should not be construed as necessarily including all of the various components, or various steps described in the specification, wherein some of the components or some of the steps It should be construed that it may not be included or may further include additional components or steps.

In addition, terms including ordinal numbers, such as first and second, as used herein may be used to describe various components, but the components should not be limited by the terms. The terms are used only for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the first component may be referred to as the second component, and similarly, the second component may also be referred to as the first component.

When an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, but other elements may be present in between. On the other hand, when a component is said to be "directly connected" or "directly connected" to another component, it should be understood that no other component exists in the middle.

Hereinafter, exemplary embodiments of the present invention will be described in detail with reference to the accompanying drawings, and the same or similar components will be given the same reference numerals regardless of the reference numerals, and redundant description thereof will be omitted. In addition, in describing the present invention, when it is determined that the detailed description of the related known technology may obscure the gist of the present invention, the detailed description thereof will be omitted. In addition, it should be noted that the accompanying drawings are only for easily understanding the spirit of the present invention and the spirit of the present invention should not be construed as being limited by the accompanying drawings. The spirit of the present invention should be construed to extend to all changes, equivalents, and substitutes in addition to the accompanying drawings.

1 illustrates a configuration of an embodiment of a phased array antenna system 110 according to the present invention, a communication system connected to the phased array antenna system, and a coordinate system for an incident wave. The phased array antenna system 110 shown in FIG. 1 is a linear array antenna system in its simplest form and may be connected to one or more communication devices. According to the example illustrated in FIG. 1, the phased array antenna system 110 may be connected to a transmitter and / or receiver 180 and a communication signal processing apparatus 190. Those skilled in the art to which the present invention pertains do not need to further explain in the present invention for the method of transmitting and receiving signals and signal processing between the phased array antenna system 110 and the communication devices (180, 190). Know how to transmit a communication signal.

Specifically, the phased array antenna 110 is connected to and control one or more antenna elements 112, one or more phase controllers 114 connected to each of the antenna elements 112, and the respective phase controllers 114. It may include a control unit 118. The controller 118 controls the phase of each phase controller 114, so that the phased array antenna 112 can perform beamforming and nulling.

In addition, the phased array antenna 110 may include one or more gain controllers 116 connected to the respective phase controllers 114. At this time, the control unit 118 is connected to the respective gain controller 116, and by controlling the gain of each gain controller 116, the phased array antenna 112 can perform beam forming and nulling, etc. To help.

Each of the antenna elements 112 included in the linear array antennas is arranged such that a distance between the antenna elements 112 is d. The angle formed by the incident direction 130 of the beam with respect to the axis 120 perpendicular to the array axis of the antenna is defined as θ 140, and the angle formed between the reference axis 120 and the main beam direction is θ. ₀ , the reference axis 120 and L jamming signal directions are defined as θ _l (l = 1, 1,2, ... L).

First, the controller 118 determines phases and gains of the phase controllers 114 and the gain controllers 116 such that the signal direction to be transmitted / received is the main beam direction θ ₀ . The phase controllers 114 and the gain controllers 116 are controlled according to the determined phase and gain. Subsequently, the controller 118 calculates and determines the phases of the phase controllers 114 so that nulls are formed in the jamming signal direction instead of the signal to be transmitted and received, and the phases according to the determined phases. Controllers 114 are controlled. However, the calculation process is iteratively performed until the null reaches within the allowable range, and the control unit 118 may not change the gains of the gain controllers 116.

In general, in a phased array antenna, ideally, a non-linear homogeneous equation should be solved for phase-only nulling with the gain of each antenna's receive path fixed. However, since it is difficult to solve the nonlinear equations used in the ideal case, a solution of the linear homogeneous equation is used in the practical phased array antenna using the approximation of the above equation.

The control unit 118 looks specifically at the calculation process of forming a null only by the phase.

Since the optimal weight of the nth path of the linear array antenna for nulling the L jamming directions is made of a linear combination of the main beam direction and the jamming signal direction, the phase of the optimal weight is expressed by Equation 1 It is expressed as

,

,

이며 λ는 자유공간에서의 파장이다. <수학식 1>에 나타난 상기 n 번째 경로의 웨이트에서 첫 번째 항은 주빔 방향(θ_n)에 대하여 주어진 항이고, 두 번째 항은 L 개의 재밍 신호 방향(θ_ln)에 대하여 널을 형성하기 위하여 결정되어야 하는 항이다. 상기 두 번째 항의 γ_l은 주빔 방향과 재밍 신호 방향의 선형적인 조합을 규정하는 변수로서 실수값을 가진다. 본 발명은 주빔 방향의 이득이 유지된 채 주어진 L 개의 재밍 신호 방향에 대하여 위상만으로 널을 형성하는 것이므로, <수학식 1>에 나타난 상기 웨이트의 두 번째 항에 있는 γ_l의 값이 적절하게 결정되어야 한다.here

,

,

And λ is the wavelength in free space. In the weight of the nth path shown in Equation 1, the first term is a term given for the main beam direction θ _n , and the second term is formed to form nulls for L jamming signal directions θ _ln . This is the term to be determined. Γ _l of the second term has a real value as a variable defining a linear combination of the main beam direction and the jamming signal direction. Since the present invention forms a null with only phases for the given L jamming signal directions while maintaining the gain in the main beam direction, the value of γ _l in the second term of the weight shown in Equation 1 is appropriately determined. Should be.

Equation 1 may be directly used to form a null in the linear array antenna in the jamming signal direction. That is, L homogeneous equations can be established by using the condition that the antenna gain in the L jamming signal directions becomes 0 in the weight shown in Equation 1, and a solution for solving the homogeneous equations can be utilized. . However, the present invention uses a gradient search method in which the controller 118 repeatedly calculates the weight and regards the weight at that time as a solution of the homogeneous equation when the calculated weight converges within a certain allowable range. However, the present invention uses an approximation formula to which practical conditions are applied to efficiently calculate the weight of Equation 1 as described below.

First, the size of the γ _l in <Formula 1> is to be determined so that a value (γ _l << 1). This is to reduce the contribution of the second term to the weight since the gain of the main beam direction in the weight can be reduced without maintaining when the magnitude of γ _l is large. Assuming that the magnitude of γ _l is small by applying such a condition, Equation 1, which is a phase of the weight, may be expressed by the following approximation equation.

Review Next, the approximate expression, <Equation 2> In the method for determining whether to repeat the value γ _l (or other variable value expressed by using the γ _l) calculated weight is reached within an allowable range. <Equation 2> represents the phase of the weight, the weight of the n-th path is expressed as follows.

로 표현된다. 그러므로, 상기 제어부(118)는 <수학식 3>에 포함된 상기 위상의 변화량(Γ_n)을 계산하고 결정함으로써 <수학식 3>이 나타내는 웨이트가 허용범위에 포함되는지 판단할 수 있다. Where α _n corresponds to a predetermined value as the gain of each path of the array antenna, Γ _n corresponds to the amount of phase change in each path, and is a function of γ _l

Lt; / RTI &gt; Therefore, the controller 118 may determine whether the weight represented by Equation 3 is included in the allowable range by calculating and determining the change amount of phase Γ _n included in Equation 3.

In addition, the present invention uses the gain of an array antenna to speed up the determination as to whether the weight is within an acceptable range. That is, the present invention defines the array antenna gain for the i th jamming signal direction as an error and uses the error in the iterative calculation. The definition of the error is as follows.

The amount of phase change for nulling in the jamming direction has the property of an odd function with respect to the center of the geometry of the array antenna. Using the above properties, the error defined in Equation 4 can be summarized as follows.

및

이 된다.Since Equation 5 is based on the center of the geometry of the array antenna,

And

Becomes

The control unit 118 calculates the amount of change in phase using the given initial value, and determines whether the sum of the errors based on the amount of change in the phase is within tolerance. As a result of the determination i) If the sum of the errors is within the tolerance, the controller 118 controls the phase controllers 114 so that the phased array antenna can form a null based on the amount of phase change. . Ii) However, if the sum of the errors is not included in the tolerance as a result of the determination, the controller 118 determines the amount of change in the new phase and repeatedly calculates the sum of the errors based on the amount of change in the new phase. In addition, the controller 118 again performs the determination using the new sum of the errors. Since the above-described process is repeated until the sum of the errors is included within the tolerance, the simpler the equation used for the iterative calculation, the more efficiently the phased array antenna can be formed null.

The present invention can efficiently perform the iterative operation by using an approximation equation in which Taylor series expansion is applied to the equation used for the iterative operation. The mathematical approach to obtaining the above approximation is as follows.

)을 계산하고 그 값이 허용오차 이내인지 판단한다. 상기 판단의 결과 상기 오차의 합이 허용오차에 포함되지 아니한 경우, 상기 제어부(118)는 새로운 위상의 변화량을 결정하여야 한다. 그러므로 상기 제어부(118)는 γ를 업데이트한 후 상기 업데이트된 γ를 기초로 위상의 변화량, 오차 및 오차의 합을 모두 반복하여 계산한다.The controller 118 has a current main beam direction θ ₀ given as an initial value, a gain α _n of each path, a jamming signal direction θ _l to be removed, and γ _l set to an initial value. The controller 118 may calculate Γ _n shown in Equation 3 using the initial values, and calculate an error according to Equation 5. Next, as described above, the controller 118 uses the result of the calculation to calculate the sum of the errors (

) And determine if the value is within tolerance. As a result of the determination, if the sum of the errors is not included in the tolerance, the controller 118 should determine the amount of change in the new phase. Therefore, after updating γ, the controller 118 repeatedly calculates the amount of phase change, an error, and a sum of errors based on the updated γ.

Using the error defined in Equation 5, the 'total error' consisting of the gains of the array antennas for the L jamming directions is defined as follows.

The partial derivative of γ _m of 'total error' shown in Equation 6 is as follows.

The equation for updating γ based on Equations 6 and 7 is as follows.

Where μ is a factor controlling the update rate, and the superscript k indicates the order of update. The equation for obtaining the partial derivative of γ _m of the error in the jamming signal direction of Equation 7 is as follows.

Equations 5 and 9 are used to update γ according to Equation 8, and Equation 8 is based on the updated γ when the sum of the errors converges within the tolerance. It is used repeatedly. Since the iterative operation uses <Equation 5> and <Equation 9> involving a sine function and a cosine function, there is a problem in that it takes a considerable amount of time to calculate. To this end, the present invention approximates the sine and cosine functions used in Equations 5 and 9 by using Taylor series expansion. This approximation is based on the fact that the amount of phase change Γ _n should not be so large that the gain of the array antenna in the jamming direction is reduced while the gain in the main beam direction is maintained.

<Equation 5> and <Equation 9> using the above approximations <Equation 10> and <Equation 11> are as follows.

에 대하여는 <수학식 12> 및 <수학식 13>을 사용하므로, Γ_n만 반복 계산할 뿐 나머지 항들에 대해서는 반복 계산 이전에 획득한 값을 사용할 수 있다. 결과적으로 거듭된 반복 연산에도 불구하고 새롭게 추가되는 연산양이 적으므로, 상기 제어부(118)는 매우 빠르게 반복 계산을 수행할 수 있다.
The controller 118 is updated when performing an iterative operation according to Equation (8).

For Equation 12 and Equation 13, Equation 12 and Equation 13 are used, and only Γ _n is repeatedly calculated, and the values obtained before the iteration calculation may be used for the remaining terms. As a result, in spite of repeated iterations, the amount of newly added operations is small, so that the controller 118 can perform iterations very quickly.

2 is a flowchart illustrating an embodiment of a method of controlling a phased array antenna system according to the present invention.

의 초기 설정값이 있다.The phased array antenna system receives an initial value to form nulling in the jamming signal direction (S210). The initial values include the current main beam direction θ ₀ , the gain α _n of each path, the L jamming signal directions θ _l , and the phase control value.

There is an initial setting of.

The phased array antenna system calculates a common term necessary for the operation for determining the phase adjustment value (S220). The common section has a sinusoidal function _{S ln = sin (θ in -θ} n) and the cosine function for the combination of the inputted main beam direction and the direction of the jamming signal _{C ln = cos (θ in -θ} n). Since the calculated common term is used repeatedly later, the amount of computation added in the iterative computation process is small.

)과 상기 계산에서 획득한 S_ln을 기초로 하여 현재의 위상변화량(Γ_n)을 계산한다(S230). 이때 상기 위상배열시스템은 상기 현재의 위상변화량을 기초로한 웨이트가 허용오차에 포함되는지 여부를 판단하여야 한다. The phased array antenna system then sets the initial phase control value (

) And the current phase change amount Γ _n based on S _ln obtained in the calculation (S230). At this time, the phased array system must determine whether the weight based on the current phase change amount is included in the tolerance.

))를 계산한다(S240). 그리고 상기 오차의 합을 구하여 허용오차 이내에 해당하는지 판단한다(S250). 이때 상기 판단의 결과 상기 오차의 합이 허용오차보다 작은 경우 상기 계산된 현재의 위상변화량(Γ_n)을 기초로 상기 위상배열안테나 시스템의 위상을 제어한다.Accordingly, the phased array antenna system determines an error e _i (for jamming signal direction) based on the common terms S _ln and C _ln and the current phase change amount Γ _{n for the} determination.

)) Is calculated (S240). Then, the sum of the errors is determined to determine whether the error is within the tolerance (S250). In this case, when the sum of the errors is less than the tolerance as a result of the determination, the phase of the phased array antenna system is controlled based on the calculated current phase change amount Γ _n .

However, if the sum of the errors is not less than the tolerance as a result of the determination, the phased array antenna system calculates the derivative of the error (S260), and the derivative of the error, the error and the current phase control value γ An updated phase control value is obtained based on the operation (S270).

Thereafter, the phased array antenna system calculates a new phase change amount Γ _n using the updated phase adjustment value (S230), and determines whether the sum of the errors based on the new phase change amount is within a tolerance. The process (S240, S250) is repeated.

As a result of the repeated operation, the phased array antenna system determines a phase change amount whose sum of errors falls within a tolerance, and controls the phase of each antenna path based on the determined phase change amount.

3 is a graph showing a change in error according to an embodiment of a method of controlling a phased array antenna system according to the present invention.

For a linear array antenna system where the number of antenna elements is 100 (n = 100) and the gain of each path is 1 (α _n = 1), the factor controlling the update rate is 0.001 (μ = 0.001) and the main beam direction is 0 °. (Θ ₀ = 0 °). 3 shows a single jammer 310 having 3 or more jamming signals entering the linear array antenna system, a double jammer 320 positioned at 3 ° and 4 °, 3 °, 4 ° and 5, respectively. The number of repetitive operations for forming nulls for the one or more jamming signals when referred to as a triple jammer 330 at ° and a quad jammer 340 at 3 °, 4 °, 5 °, and 6 °. The amount of change in and error is shown.

Referring to FIG. 3, when the number of repetitions of the operation is about 10 to 20 times, the repetition calculation error converges to almost 0 regardless of the number of jamming signals.

4 is a graph illustrating a nulling pattern of a linear array antenna according to an embodiment of a method of controlling a phased array antenna system according to the present invention.

)가 계산된다. 도 4는 신호 방향에 대한 상기 어레이 팩터의 그래프를 나타낸 것이다.For a linear array antenna system where the number of antenna elements is 100 (n = 100) and the gain of each path is 1 (α _n = 1), the factor controlling the update rate is 0.001 (μ = 0.001) and the main beam direction is 0 °. For phosphorus (θ ₀ = 0 °), quadruple jammers are introduced into the linear array antenna system located at 3 °, 4 °, 5 ° and 6 °. In this case, when the tolerance is 0.01, according to the present invention, the linear array antenna system may determine the phase change amount Γ such that the sum of the errors falls within the tolerance, and based on the determined phase change amount,

) Is calculated. 4 shows a graph of the array factor versus signal direction.

Twenty iteration calculations were performed to reduce the error to less than 0.01, the tolerance, and the region where the jamming signal is located in FIG. In FIG. 4, the array factor of the region 420 corresponding to the main beam is 39.38 dB, which shows an array gain reduction of 0.62 dB compared to 40 dB without the jamming signal.

While the present invention has been particularly shown and described with reference to exemplary embodiments thereof, it is to be understood that the invention is not limited to the disclosed embodiments, but, on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims. will be. Therefore, the true technical protection scope of the present invention will be defined by the technical spirit of the appended claims.

Claims (13)

One or more antenna elements;
One or more phase controllers connected to the respective antenna elements; And
At least one control unit for determining phase adjustment values γ of each phase controller,
The controller determines the phase adjustment values by performing an iterative operation so that the sum of the errors in the plurality of jamming signal directions converges within a tolerance while maintaining the gain in the main beam direction.
The error in the jamming signal direction is based on a gain for the jamming signal direction,
And the iterative operation includes calculating an updated phase adjustment value based on a partial derivative of a current phase adjustment value and a current partial error of the phase adjustment value. delete The apparatus of claim 1, wherein the control unit
The updated phase control value is calculated using an approximation of the cosine function of the current phase change amount (Γ) to which Taylor series expansion is applied,
And said current phase change amount is calculated based on said current phase adjustment value. The apparatus of claim 1, wherein the control unit
The updated phase control value is calculated using an approximation equation of the sine function of the current phase change amount (Γ) to which Taylor series expansion is applied,
And said current phase change amount is calculated based on said current phase adjustment value. The method of claim 1, wherein before the iterative operation is performed, the controller calculates the sine function and the cosine function in the plurality of jamming signal directions, and uses the calculated results of the sine function and the cosine function in the iterative operation. Phased array antenna system. The method of claim 1, further comprising one or more gain controllers coupled to the respective antenna elements, wherein the control unit determines gain adjustment values of the respective gain controllers such that the gain in the main beam direction is maintained. Characterized in phased array antenna system. A control method of a phased array antenna system comprising one or more antenna elements and one or more phase controllers connected to the respective antenna elements.
Determining the phase adjustment values γ of the respective phase controllers by performing an iterative operation so that the errors based on the gains in the plurality of jamming signal directions converge within the tolerance while the gains in the main beam direction are maintained,
The error of the jamming signal direction is calculated based on the current phase change amount Γ, and the current phase change amount is calculated based on the current phase adjustment value.
And the iterative operation includes calculating an updated phase adjustment value based on partial derivatives of the current phase adjustment value and the current overall error of the phase adjustment value. delete delete 8. The method of claim 7, wherein an approximation equation of the cosine function of the phase change amount Γ to which Taylor series expansion is applied is used to calculate the updated phase control value. 8. The method of claim 7, wherein an approximation equation of the sine function of the phase change amount Γ is applied to calculate the updated phase control value. 12. The method of claim 10, further comprising: calculating sine and cosine functions of the plurality of jamming signal directions before the iterative operation is performed,
And a calculation result of the sine function and the cosine function is used for the iterative operation. A method of controlling a phased array antenna system comprising one or more antenna elements, one or more phase controllers connected to each of the antenna elements, and one or more gain controllers connected to the respective antenna elements. ,
While the gain in the main beam direction is maintained, iterative operation is performed so that the error of the plurality of jamming signal directions converges within the tolerance so that the phase control value of each phase controller (

And determining gain adjustment values of the respective gain controllers.

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