Active phased-array antenna electrical performance amplitude-phase adjustment amount calculation method based on interval refinement

Abstract

The invention discloses an active phased-array antenna electrical performance amplitude-phase adjustment amount calculation method based on interval refinement, and the method comprises the steps: building an antenna pattern interval function model, and carrying out the array surface morphology measurement; calculating an antenna pattern interval function, and establishing a compensated antenna pattern interval function; establishing a difference expression between a compensated directional diagram function and an ideal directional diagram function, dispersing an antenna observation angle, and constructing a dispersed compensation excitation current matrix and an ideal excitation current matrix; solving an excitation current amplitude-phase interval function after compensation of each array element, and converting the excitation current amplitude-phase interval function into a function about the position of the array element; subdividing the array element position interval vector to obtain a fine function of the compensated excitation current; and obtaining the refined excitation current amplitude-phase adjustment interval quantity of each array element. According to the method, the adjustment amount of the amplitude phase of the excitation current of the antenna is calculated, the interval amplification effect is improved based on fineness, the problem that the adjustment amount is not accurate enough or unreliable is avoided, and the electrical performance of the antenna is guaranteed.

Description

Technical Field

[0001] The present invention belongs to the field of antenna technology, and specifically is a method for calculating the amplitude and phase adjustment amount of the electrical performance of an active phased array antenna based on fine intervals. The method is used to calculate the amplitude and phase interval adjustment amount of the excitation current when the interval amplification effect exists in the interval calculation process of the active phased array antenna, and can effectively realize the robust regulation of the electrical performance of the antenna. Background Art

[0002] Active phased array antennas have important functions such as accurately receiving target information or accurately tracking target positions, and are widely used in missile defense systems, airborne radar systems, communication and navigation systems, medical detection systems, and other fields. With the increasing requirements for antenna electrical performance, active phased array antennas have the characteristics of fast scanning speed and good anti-interference ability. Active phased array antennas are developing towards high-frequency bands, high-gain and high-performance. The influence of structural factors such as the spatial position of array elements, array element pointing rotation errors, and electromagnetic factors such as excitation current amplitude and phase on electrical performance is more prominent.

[0003] In the 1960s, American mathematician Moore proposed a relatively complete interval analysis (IA) theory in his doctoral dissertation, and then he published the first book on interval analysis, "Interval Analysis" in 1966. Luca Manica and Paolo Rocca of Italy first solved the robust design of linear antenna arrays with the optimization technology based on interval analysis; in addition, Paolo Rocca's research team used interval analysis methods to study the actual antenna performance under the error of array element excitation amplitude and the limit of radiation power pattern change under different excitation tolerances in the field of linear array antennas. Guo Shuisheng used the interval analysis method to optimize the basic dimensions and tolerance bands of the array structure of the phased array antenna, thereby improving the manufacturing process and reducing the manufacturing and installation costs; Wang Zhonghua analyzed the uncertainty propagation of parameters in the electromagnetic field and analyzed the influence of uncertainty parameters on the amplitude and phase of the T / R component; Wang proposed a method for determining the electrical performance interval of active phased array antennas based on a proxy model and a priori knowledge algorithm for quickly calculating the electrical performance interval of active phased array antennas.

[0004] However, there may be an interval amplification effect in the interval calculation of the interval analysis method, which will make the final design result inaccurate or unreliable. For active phased array antennas in complex antenna service environments, there are errors in the spatial position and pointing rotation of the array elements, which cause the deterioration of the antenna electrical performance. In view of the interval amplification effect, how to calculate the amplitude and phase adjustment of the excitation current of the active phased array antenna and effectively realize the robust regulation of the antenna electrical performance has become a technical problem that needs to be urgently solved in this field. Summary of the invention

[0005] In order to solve the above-mentioned defects existing in the prior art, the purpose of the present invention is to provide a method for calculating the amplitude and phase adjustment amount of the electrical performance of an active phased array antenna based on interval refinement. The method can calculate the adjustment amount of the amplitude and phase of the excitation current of the active phased array antenna, and based on the refinement, the interval amplification effect is improved, thereby better ensuring the electrical performance of the antenna.

[0006] The present invention is achieved through the following technical solutions.

[0007] One aspect of the present invention provides a method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement, comprising the following steps:

[0008] Establish an antenna pattern interval function model based on active phased array antenna parameters;

[0009] Perform array profile measurement on active phased array antenna to obtain the interval vector of antenna element position;

[0010] Calculate the interval function of the active phased array antenna pattern under the influence of the uncertainty of the array element position according to the interval vector of the antenna array element position;

[0011] Establishing the compensated active phased array antenna pattern interval function;

[0012] Based on the principle of least squares method, the difference expression between the compensated active phased array antenna pattern function and the ideal pattern function is established;

[0013] The antenna observation angle is discretized into several angles to obtain the minimum conversion variable of the difference between the compensated active phased array antenna pattern function and the ideal pattern function;

[0014] Constructing the discretized compensation excitation current matrix and the ideal excitation current matrix;

[0015] Solve the amplitude and phase interval function of the excitation current after compensation of each array element and transform it into a function of the array element position;

[0016] Evenly subdividing the array element position interval vector to obtain a subdivided array element position interval vector;

[0017] A fine function of the compensated excitation current is obtained as a function of the array element position;

[0018] The amplitude and phase adjustment interval of the excitation current of each array element after final refinement is calculated based on the refined function.

[0019] Preferably, the active phased array antenna parameters include the number of array elements M in the x-direction, the number of array elements N in the y-direction, the spacing between array elements d in the x-direction, x , the array element spacing in the y direction is dy , excitation current weighting method, operating frequency f and operating wavelength λ.

[0020] The interval function model of the active phased array antenna pattern under the influence of the uncertainty of array element position is established by using the cumulative sum of the product of the amplitude term and the interval excitation phase term.

[0021] Preferably, a contact or non-contact measurement method is used to measure the actual morphology of the antenna array in service.

[0022] Preferably, the interval function of the active phased array antenna pattern under the influence of the uncertainty of the array element position is calculated according to the interval vector of the measured array element position.

[0023] Preferably, an expression for the difference between the compensated active phased array antenna pattern function and the ideal pattern function is established to obtain the minimum conversion variable of the difference between the compensated active phased array antenna pattern function and the ideal pattern function, including:

[0024] Establish the active phased array antenna pattern function of the array element under ideal conditions;

[0025] Based on the principle of least square method, an expression of the sum of squares of the difference between the compensated directional pattern function and the ideal directional pattern function is established;

[0026] The observation angle of the antenna is discretized into several angles, and the expression of the sum of squares of the difference between the compensation pattern function and the ideal pattern function is minimized.

[0027] Preferably, the discretized compensation excitation current matrix and the ideal excitation current matrix are constructed, and the following are constructed in sequence: (a) the discretized deformed array element term matrix is ​​constructed; (b) the discretized compensation excitation current matrix is ​​constructed; (c) the discretized ideal array element term matrix is ​​constructed; (d) the discretized ideal excitation current term matrix is ​​constructed.

[0028] Preferably, solving the amplitude-phase interval function of the excitation current after compensation of each array element and converting it into a function about the position of the array element includes:

[0029] The difference function between the conversion compensation pattern function and the ideal pattern function;

[0030] The partial derivative of the difference between the compensation pattern function and the ideal pattern function with respect to the discretized compensation excitation current matrix is ​​0, so that the difference between the pattern function and the ideal pattern function takes the minimum value;

[0031] Solve and calculate to obtain the compensation excitation current matrix of each array element after discretization;

[0032] The amplitude-phase interval function of the compensation excitation current matrix of each array element is transformed into a function about the position of the array element.

[0033] The present invention adopts the above technical solution, which has the following beneficial effects:

[0034] (1) The present invention is mainly designed to robustly control the electrical performance of an active phased array antenna. It can directly calculate the adjustment amount of the antenna's excitation current amplitude and phase, and can significantly improve the antenna's comprehensive performance.

[0035] (2) The method proposed in the present invention is based on variable subdivision and function refinement, which can effectively improve the interval amplification effect brought about by interval calculation, avoid the problem that the final adjustment amount of the excitation current amplitude and phase is not accurate or reliable, and can effectively solve the problem that the position of the antenna element of the active phased array antenna changes due to complex environmental factors, thereby causing the electrical performance of the antenna to deteriorate. BRIEF DESCRIPTION OF THE DRAWINGS

[0036] The drawings described herein are used to provide a further understanding of the present invention, constitute a part of the present application, and do not constitute an improper limitation of the present invention. In the drawings:

[0037] Figure 1 is a flow chart of the present invention;

[0038] Figure 2 is the power pattern interval corresponding to the error;

[0039] Figure 3 The width of the interval for fine amplitude adjustment;

[0040] Figure 4 is the width of the interval of the unrefined phase adjustment;

[0041] Figure 5 It is the width of the interval of the amplitude adjustment after fine-tuning;

[0042] Figure 6 is the width of the fine phase adjustment interval. DETAILED DESCRIPTION

[0043] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments. The exemplary embodiments and descriptions of the present invention are used to explain the present invention but are not intended to limit the present invention.

[0044] Reference Figure 1 The present invention is a method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on fine intervals, and the specific steps are as follows:

[0045] Step 1: Establish an antenna pattern interval function model based on the active phased array antenna parameters.

[0046] (1a) First, determine the main parameters of the active phased array antenna: the number of array elements in the x-direction M, the number of array elements in the y-direction N, and the spacing between array elements in the x-direction d.x , y-direction array element spacing d y , excitation current weighting method, operating frequency f and operating wavelength λ.

[0047] (1b) Secondly, the cumulative sum of the product of the amplitude term and the interval excitation phase term is used to establish the interval function model of the active phased array antenna pattern of M×N array elements under the influence of the uncertainty factor of the array element position:

[0048]

[0049] In the formula, I one represents equal amplitude and same phase excitation current, represents the lower bound of the phase interval quantity of the directional pattern interval function of the (m,n)th array element, The phase interval quantity representing the directional pattern interval function of the (m,n)th array element The supremum of , j is the imaginary unit.

[0050] Step 2: perform array profile measurement on the active phased array antenna to obtain the interval vector of the array element position of the active phased array antenna.

[0051] According to the platform characteristics of the active phased array antenna, a contact or non-contact measurement method is used to measure the actual morphology of the antenna array surface in service, and the interval vector of the array element position in actual service is obtained.

[0052] Step 3: Calculate the interval function of the active phased array antenna pattern under the influence of the uncertainty of the array element position according to the interval vector of the array element position.

[0053] According to the interval vector of the array element position measured in step 2 Calculate the uncertainty in the array element position The active phased array antenna pattern interval function of M×N array elements under the influence is:

[0054]

[0055] In the formula, It represents the interval of the radiation pattern of the (m,n)th array element and the excitation current acting together, Represents the phase interval of the directional pattern interval function of the (m,n)th array element.

[0056] Step 4: Establish the compensated active phased array antenna pattern interval function.

[0057] 4.1 Assume that the range of the excitation current amplitude phase compensation for the influence of the array element position is Among them, i c is the compensation interval matrix of the excitation current amplitude of each array element, is the phase compensation interval matrix of the excitation current of each array element;

[0058] 4.2 The compensated directional pattern function can be expressed as:

[0059]

[0060] In the formula, is the compensated amplitude term of the (m,n)th array element, i c is the compensation interval matrix of the excitation current amplitude of each array element; is the compensated phase term of the (m,n)th array element, is the phase compensation interval matrix of the excitation current of each array element.

[0061] Step 5: Establish an expression for the difference between the compensated directional pattern function and the ideal directional pattern function based on the least squares method principle.

[0062] 5.1 Establish the active phased array antenna pattern function of M×N array elements under ideal conditions;

[0063]

[0064] In the formula, is the spatial phase distribution factor of the (m,n)th array element, where k is the wave constant, is the position vector of the (m,n)th array element, is the unit vector of the far-field observation point P(θ,φ); f mn (θ, φ) is the radiation pattern of the (m, n)th array element; is the excitation current of the (m,n)th array element, I mn is the amplitude of the excitation current, is the phase of the excitation current.

[0065] 5.2 Based on the principle of least squares method, the square sum expression of the difference between the compensated pattern function and the ideal pattern function is established;

[0066] |q(θ,φ)[E c (θ,φ)-E0(θ,φ)]| 2

[0067] In the formula, q(θ,φ) represents the weighting coefficient, E c (θ, φ) represents the compensation pattern function, and E0(θ, φ) represents the ideal pattern.

[0068] Step 6: discretize the observation angle of the antenna into K angles to obtain the minimum conversion variable of the difference between the compensated active phased array antenna pattern function and the ideal pattern function.

[0069] Select a suitable K value and discretize the observation angle of the antenna into K angles. Then the expression of the sum of squares of the difference between the compensation pattern function and the ideal pattern function is transformed into the minimum:

[0070]

[0071] Where K represents the number of discrete angles, q(θ k ,φ k ) represents the weighting coefficient at each discrete observation angle, E c (θ k ,φ k ) represents the compensation pattern function after discretization, E0(θ k ,φ k ) represents the ideal directivity pattern after discretization.

[0072] Step 7, constructing the discretized compensation excitation current matrix and the ideal excitation current matrix.

[0073] 7.1 Constructing the Discretized Deformation Element Matrix

[0074]

[0075] In the formula, f Mn (θ K ,φ K ) is the radiation pattern of the (M,n)th array element after discretization, is the position vector of the (M,n)th array element, is the structural displacement vector of the (M,n)th array element, is the unit vector of the far-field observation point P(θ,φ).

[0076] 7.2 Constructing the discretized compensation excitation current matrix I c :

[0077]

[0078] In the formula, i cMn is the excitation current amplitude of the (M,n)th array element compensation after discretization, is the phase of the excitation current of each array element after the discretization of the (M,n)th array element compensation.

[0079] 7.3 Constructing the Discretized Ideal Array Element Matrix

[0080]

[0081] 7.4 Constructing the Discrete Ideal Excitation Current Term Matrix I0 :

[0082]

[0083] In the formula, i 0Mn is the ideal excitation current amplitude of the (M,n)th array element after discretization, is the ideal excitation current phase of the (M,n)th array element after discretization.

[0084] Step 8, solving the amplitude-phase interval function of the excitation current after compensation of each array element, and converting it into a function of the array element position.

[0085] 8.1 Combined with step 7, the difference F between the compensation pattern function and the ideal pattern function can be transformed into:

[0086]

[0087] In the formula, It represents the interval of the radiation pattern of the (m,n)th array element and the excitation current acting together, The phase interval quantity representing the directional pattern interval function of the (m,n)th array element, i cmn is the compensation interval of the excitation current amplitude of the (m,n)th array element, is the phase compensation interval of the excitation current of the (m,n)th array element, It represents the ideal radiation pattern of the (m,n)th array element and the interval of interaction between the excitation current and the radiation pattern of the (m,n)th array element. The phase interval quantity representing the ideal pattern interval function of the (m,n)th array element, i 0mn is the ideal excitation current amplitude of the (m,n)th array element, is the ideal excitation current phase of the (m,n)th array element; I c , I0 represents the discretized deformed array element term matrix, the compensation excitation current matrix, the ideal array element term matrix, and the ideal excitation current term matrix respectively.

[0088] 8.2 In order to minimize the difference F between the compensation pattern function and the ideal pattern function, there should be a discretized compensation excitation current matrix I c The partial derivative of is 0:

[0089]

[0090] You can get:

[0091]

[0092] 8.3 Solving the above equation, we can obtain the compensation excitation current matrix I of each array element after discretization: c :

[0093]

[0094] 8.4 The amplitude-phase interval function I of the excitation current after compensation of each array element c Transformed to the position of the array element Function

[0095]

[0096] In the formula, For about The function of is the structural displacement vector of the (m,n)th array element.

[0097] Step 9, uniformly subdivide the array element position interval vector to obtain a subdivided array element position interval vector.

[0098] 9.1 Array Position Interval Vector Perform uniform subdivision to obtain the subdivided array element position interval vector Let n = m × n, then:

[0099]

[0100] In the formula, Representation Elements The lth element after subdivision, Indicates the interval quantity The interval infimum of Indicates the interval quantity The interval width is , and N is the number of interval subdivisions.

[0101] 9.2 According to the above formula, we can get the following relationship:

[0102]

[0103] In the formula, Represents an interval vector The i-th element in Representation Elements The lth element after subdivision, Indicates the interval quantity The width of the interval, Represents an interval vector The nth element in After subdivision n elements.

[0104] Step 10: Obtain a refined function of the compensated excitation current by combining the excitation current amplitude and phase interval function with respect to the array element position.

[0105] Combine step 9 with the position of the array element Function A fine function of the compensated excitation current can be obtained

[0106]

[0107] In the formula, To use the fine function The amplitude and phase interval of the compensation excitation current after refinement, For use The deformed array element term after refinement.

[0108] Step 11, obtaining the final refined excitation current amplitude and phase adjustment interval of each array element according to the refined function solution.

[0109] According to the ideal excitation current The final excitation current amplitude and phase adjustment interval of each array element is obtained:

[0110]

[0111]

[0112] In the formula, ΔI n It indicates the final refined excitation current amplitude adjustment interval. It represents the final refined excitation current phase adjustment interval, i n represents the amplitude of the ideal excitation current, Represents the phase of the ideal excitation current.

[0113] The advantages of the present invention can be further illustrated by the following simulation:

[0114] 1. Establish an interval function model of the active phased array antenna pattern.

[0115] In this example, an X-band vehicle-mounted active phased array antenna is used as an example. The main parameters of the active phased array antenna are determined as follows: the number of array elements M in the x-direction is 24, the number of array elements N in the y-direction is 32, and the spacing between array elements in the x-direction is d. x is 0.5λ, the array element spacing in the y direction is d y The operating frequency f is 10 GHz and the operating wavelength λ is 30 mm.

[0116] (1b) Secondly, the interval function model of the active phased array antenna pattern under the influence of the uncertainty factor of the array element position is established by using the cumulative sum of the products of the amplitude term and the interval excitation phase term:

[0117]

[0118] In the formula, I one represents equal amplitude and same phase excitation current, represents the lower bound of the phase interval quantity of the directional pattern interval function of the (m,n)th array element, The phase interval quantity representing the directional pattern interval function of the (m,n)th array element The supremum of .

[0119] 2. Measure the array surface morphology of active phased array antenna.

[0120] In actual use of the method, according to the platform characteristics of the active phased array antenna, a contact or non-contact measurement method should be used to measure the actual morphology of the antenna array surface in service, and the interval vector of the array element position in actual service should be obtained. This example is simulated by MATLAB software, and without loss of generality, position errors of interval widths shown in Table 1 are imposed on the array elements.

[0121] Table 1

[0122] direction x direction y direction z direction Interval radius 0.1λ 0.1λ 0.2λ

[0123] 3. Calculate the interval function of the active phased array antenna pattern under the influence of array element position uncertainty.

[0124] The error interval width of the above-mentioned element position is brought into the active phased array antenna pattern interval function model under the influence of the uncertainty factor of the element position, and the active phased array antenna pattern interval function of the error interval of the element position is calculated, such as Figure 2 .

[0125] 4. Establish the compensated active phased array antenna pattern interval function.

[0126] Assume that the range of the excitation current amplitude phase compensation for the influence of the array element position is A compensated directional pattern function is established, and based on the principle of least squares method, a square sum expression of the difference between the compensated directional pattern function and the ideal directional pattern function is established to minimize the established square sum expression.

[0127] 5. Discretize the observation angle of the antenna and transform the square sum expression.

[0128] After the observation angle of the antenna is discretized into multiple angles, the expression of the sum of squares of the difference between the compensation pattern function and the ideal pattern function can be transformed into the minimum:

[0129]

[0130] In the formula, K represents the number of discrete angles, q(φ k ,φ k ) represents the weighting coefficient at each discrete observation angle, E c (θ k ,φ k ) represents the compensation pattern function after discretization, E0(θ k ,φ k ) represents the ideal directivity pattern after discretization.

[0131] 6. Calculate the unrefined excitation current amplitude phase compensation interval.

[0132] Construct the discretized deformation element matrix Compensation excitation current matrix I c , ideal array element matrix and the ideal excitation current term matrix I0 , and transform F into:

[0133]

[0134] The minF is calculated and solved to obtain the amplitude-phase interval function I of the excitation current after compensation of each array element. c , which is converted into the position of the array element Function The unrefined excitation current amplitude phase compensation interval is as follows Figure 3 , Figure 4 shown.

[0135] 7. Calculate the refined excitation current amplitude phase compensation interval.

[0136] Position interval for the opponent Perform uniform subdivision to obtain a fine function of the compensated excitation current And according to the ideal excitation current The final excitation current amplitude and phase adjustment interval of each array element can be obtained, and the refined excitation current amplitude and phase compensation interval can be calculated as follows: Figure 5 , Figure 6 shown.

[0137] 8. Analysis results

[0138] according to Figure 3 , Figure 4 , Figure 5 and Figure 6It can be seen that the application of the present invention can calculate the excitation current amplitude and phase adjustment amount, and it can be seen that the refined amplitude and phase interval width is obviously narrower than the unrefined excitation current amplitude and phase interval width, which means that the proposed antenna amplitude and phase compensation method based on interval refinement can effectively reduce the compensation amount interval width when adjusting the performance of the active phased array antenna under the influence of array element position uncertainty, and achieve the best adjustment of the antenna performance, which provides a guarantee for meeting the electrical performance indicators of the antenna during service.

[0139] The present invention is not limited to the above-mentioned embodiments. On the basis of the technical solution disclosed in the present invention, technicians in this field can make some substitutions and deformations to some technical features therein according to the disclosed technical content without creative labor, and these substitutions and deformations are all within the protection scope of the present invention.

Claims

1. A method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement, characterized in that: The steps include: Establish an antenna pattern interval function model based on active phased array antenna parameters; Perform array profile measurement on active phased array antenna to obtain the interval vector of antenna element position; Calculate the interval function of the active phased array antenna pattern under the influence of the uncertainty of the array element position according to the interval vector of the antenna array element position; Establishing the compensated active phased array antenna pattern interval function; Based on the principle of least squares method, the difference expression between the compensated active phased array antenna pattern function and the ideal pattern function is established; The antenna observation angle is discretized into several angles to obtain the minimum conversion variable of the difference between the compensated active phased array antenna pattern function and the ideal pattern function; Constructing the discretized compensation excitation current matrix and the ideal excitation current matrix; Solve the amplitude and phase interval function of the excitation current after compensation of each array element and transform it into a function of the array element position; Evenly subdividing the array element position interval vector to obtain a subdivided array element position interval vector; A fine function of the compensated excitation current is obtained as a function of the array element position; The amplitude and phase adjustment interval of the excitation current of each array element after final refinement is calculated based on the refined function.

2. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 1 is characterized in that: The active phased array antenna parameters include the number of array elements in the x direction M, the number of array elements in the y direction N, the array element spacing in the x direction d x , the array element spacing in the y direction is d y , excitation current weighting method, operating frequency f and operating wavelength λ; The interval function model of the active phased array antenna pattern of M×N array elements is: In the formula, I one represents equal amplitude and same phase excitation current, represents the lower bound of the phase interval quantity of the directional pattern interval function of the (m,n)th array element, The phase interval quantity representing the directional pattern interval function of the (m,n)th array element The supremum of , j is the imaginary unit.

3. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 1 is characterized in that: The interval function of the active phased array antenna pattern of M×N array elements under the influence of array element position uncertainty is calculated as: In the formula, It represents the interval of the radiation pattern of the (m,n)th array element and the excitation current acting together, Represents the phase interval quantity of the directional pattern interval function of the (m,n)th array element, where j is an imaginary unit.

4. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 3 is characterized in that: The compensation interval function of the active phased array antenna pattern is established as: In the formula, is the compensated amplitude term of the (m,n)th array element, i c is the compensation interval matrix of the excitation current amplitude of each array element; is the compensated phase term of the (m,n)th array element, is the phase compensation interval matrix of the excitation current of each array element.

5. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 1 is characterized in that: The difference expression between the compensated active phased array antenna pattern function and the ideal pattern function is established, and the minimum conversion variable of the difference between the compensated active phased array antenna pattern function and the ideal pattern function is obtained, including: Establish the active phased array antenna pattern function of M×N array elements under ideal conditions: In the formula, is the spatial phase distribution factor of the (m,n)th array element, where k is the wave constant, is the position vector of the (m,n)th array element, is the unit vector of the far-field observation point P(θ,φ); f mn (θ, φ) is the radiation pattern of the (m, n)th array element; is the excitation current of the (m,n)th array element, I mn is the amplitude of the excitation current, is the phase of the excitation current, j is the imaginary unit; Based on the principle of least square method, an expression of the sum of squares of the difference between the compensated directional pattern function and the ideal directional pattern function is established; |q(θ,φ)[E c (θ,φ)-E0(θ,φ)]| 2 In the formula, q(θ,φ) represents the weighting coefficient, E c (θ, φ) represents the compensation pattern function, and E0(θ, φ) represents the ideal pattern; The observation angle of the antenna is discretized into several angles, and the expression of the sum of squares of the difference between the compensation pattern function and the ideal pattern function is transformed into the minimum: Where K represents the number of discrete angles, q(θ k ,φ k ) represents the weighting coefficient at each discrete observation angle, E c (θ k ,φ k ) represents the compensation pattern function after discretization, E0(θ k ,φ k ) represents the ideal directivity pattern after discretization.

6. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 1 is characterized in that: Construct the discretized compensation excitation current matrix and ideal excitation current matrix, including: (a) Constructing the discretized deformation element matrix In the formula, f Mn (θ K ,φ K ) is the radiation pattern of the (M,n)th array element after discretization, is the position vector of the (M,n)th array element, is the structural displacement vector of the (M,n)th array element, is the unit vector of the far-field observation point P(θ,φ), j is the imaginary unit, and k is the wave constant; (b) Construct the discrete compensation excitation current matrix I c : In the formula, i cMn is the excitation current amplitude of the (M,n)th array element compensation after discretization, is the phase of the excitation current of each array element compensated by the (M,n)th array element after discretization; (c) Construct the ideal array element matrix after discretization (d) Construct the ideal excitation current term matrix I0 after discretization: In the formula, i 0Mn is the ideal excitation current amplitude of the (M,n)th array element after discretization, is the ideal excitation current phase of the (M,n)th array element after discretization.

7. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 5 is characterized in that: Solve the amplitude and phase interval function of the excitation current after compensation of each array element and transform it into a function of the array element position, including: The difference F between the compensation pattern function and the ideal pattern function is transformed into In the formula, It represents the interval of the radiation pattern of the (m,n)th array element and the excitation current acting together, The phase interval quantity representing the directional pattern interval function of the (m,n)th array element, i cmn is the compensation interval of the excitation current amplitude of the (m,n)th array element, is the phase compensation interval of the excitation current of the (m,n)th array element, It represents the ideal radiation pattern of the (m,n)th array element and the interval of interaction between the excitation current and the radiation pattern of the (m,n)th array element. The phase interval quantity representing the ideal pattern interval function of the (m,n)th array element, i 0mn is the ideal excitation current amplitude of the (m,n)th array element, is the ideal excitation current phase of the (m,n)th array element; I c , I0 represents the discretized deformed array element term matrix, the compensation excitation current matrix, the ideal array element term matrix, and the ideal excitation current term matrix; The difference F between the compensation pattern function and the ideal pattern function is the discretized compensation excitation current matrix I c The partial derivative of is 0, so that F takes the minimum value: get: Solve and calculate to obtain the compensation excitation current matrix I of each array element after discretization c : The compensation excitation current matrix I of each array element c The amplitude-phase interval function is transformed into the position of the array element Function In the formula, About The function of is the structural displacement vector of the (m,n)th array element.

8. The method for calculating the amplitude and phase adjustment of electrical performance of active phased array antenna based on interval refinement according to claim 1 is characterized in that: The subdivided array element position interval vector is obtained, including: For the position interval vector of the array element Perform uniform subdivision to obtain the subdivided array element position interval vector Let n = m × n, then: In the formula, Representation Elements The lth element after subdivision, Indicates the interval quantity The interval infimum of Indicates the interval quantity The interval width is , and N is the number of interval subdivisions.

9. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 1, characterized in that: The refined function of the compensated excitation current is obtained as a function of the array element position. for: In the formula, To use the fine function The amplitude and phase interval of the compensation excitation current after refinement, For use The deformed array element term after refinement, I0 represents the ideal array element term matrix and the ideal excitation current term matrix after discretization.

10. The method for calculating the amplitude and phase adjustment of the electrical performance of an active phased array antenna based on interval refinement according to claim 1, characterized in that: According to the ideal excitation current The final refined excitation current amplitude and phase adjustment interval of each array element is obtained: In the formula, ΔI n It indicates the final refined excitation current amplitude adjustment interval. It represents the final refined excitation current phase adjustment interval, i n represents the amplitude of the ideal excitation current, represents the phase of the ideal excitation current, is a fine function of the compensated excitation current.

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