An optimization method for irregular subarray arrangement with super large scanning angle

Abstract

The invention discloses a phased array arrangement optimization method based on irregular sub-arrays, fully utilizes the definition of array information entropy, and applies it to an irregular phased array based on a quadruple grid form, and increases the variable The method linearizes the optimization model so that the original problem can be solved by a commercial solver. After the array arrangement is optimized, the direction diagram of the required scanning angle is synthesized through a convex optimization algorithm. The greatest innovation of the present invention lies in digging out the essential characteristics of the original optimization problem, using a convex optimization algorithm for optimization, which greatly saves calculation time, while only using a quarter of the number of T / R components in the original array, it ensures Super wide-angle scanning characteristics.

Description

technical field [0001] The invention belongs to the field of antenna technology and relates to an optimization method for irregular sub-array arrangement. This algorithm mainly adopts the principle of information entropy, transforms the optimization model into a mixed integer linear programming, and can efficiently optimize the irregular array through a commercial solver topological structure, and then synthesize the target direction graph as needed. Background technique [0002] Phased array antennas are widely used in the radar and communication fields because they can achieve the purpose of beam scanning by changing the phase. At the same time, the amplitude and phase weighting methods of conventional phased arrays are difficult to meet the requirements of low sidelobes of antenna arrays, which limits the application range of antennas. [0003] In the 1960s and 1970s, foreign countries began to study sparse array antennas. Through optimization algorithms, a smaller numbe...

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Problems solved by technology

However, for the array calculated by the optimization algorithm, the position of the array elements is generally very irregular, and the processing and arrangement of the array elements are very difficult problems. At the same time, the sparseness of the array will significantly change the coupling between the array elements, which will seriously affect the radiation performance of the entire array.

[0004] Considering the basic principle of the antenna array, the periodicity of the array arrangement is the main cause of the grating lobes of the pattern, so how to break the periodicity of the array becomes the main idea of ​​suppressing the grating lobes. R.J.Mailloux, Andrea Massa et al proposed They used the method of irregular sub-array to break the periodicity of the array, but because the optimization problem is too complicated, their scheme can only realize one-dimensional scanning, which is poor in engineering applicability

The patent No. CN 107230843A adopts a similar scheme to realize two-dimensional scanning, but the scanning performance is not strong. The sub-arrays composed of two units are arranged at 0.7 wavelength intervals under the array of 20×20, and only It can realize two-dimensional scanning of ±20°. This solution has not fully utilized the scanning advantages of irregular sub-arrays, and its applicability in engineering is poor.

The patent No. CN108808266A also adopts the optimization scheme based on the principle of maximum entropy, but when it is applied to the quadruple grid (that is, the sub-array composed of four units), the scanning capabilities of each surface of the two-dimensional scanning will be inconsistent. Simultaneous scanning smaller angle

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