Array pattern synthesis method based on hybrid differential evolution algorithm and weighted total least square method

Abstract

The invention discloses an array pattern synthesis method based on a hybrid differential evolution algorithm and a weighted total least square method. The array pattern synthesis method comprises thefollowing steps: step 1, setting target parameters of the hybrid differential evolution algorithm and the weighted total least square method; 2, writing the comprehensive problem of the array directional diagram into a formula [A] [I] = [S], and adding a diagonal matrix X to control the weights of different angle differences of the directional diagram; 3, calculating to obtain an array element current I in the array by using a total least square method, and substituting the array element current I into a radiation pattern formula to obtain a preliminary radiation pattern; 4, updating and optimizing the weight matrix X by using a differential evolution algorithm; 5, calculating a fitness function value of the array antenna population through a fitness function; 6, judging whether the fitness function value is smaller than a certain value epsilon or reaches the maximum evolution algebra or not; and step 7, outputting an optimal solution, and recording a radiation pattern corresponding tothe fitness value. According to the invention, a lower sidelobe level and a deeper zero point can be obtained.

Description

technical field [0001] The invention belongs to the technical field of antennas, in particular to an array pattern synthesis method based on a hybrid differential evolution algorithm and a weighted total least squares method. Background technique [0002] In the past, antenna array pattern synthesis has attracted much attention due to its applications in radar and communications. Among them, the design of conformal antenna array is a great challenge for researchers. Because conformal arrays have curved surfaces, each antenna in the array points in a different direction. Therefore, the traditional planar array theory cannot provide a typical synthesis method for the array radiation pattern. Additionally, in receiving systems, the radiation pattern of an antenna array sometimes requires beamforming nulls. Interference suppression can then be achieved by controlling the null position to point in the direction of the interfering signal. Since the nulling level is much lower ...

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Problems solved by technology

However, some bionic optimization algorithms converge slowly, which limits the application of these algorithms

[0005] At present, the convergence speed and convergence accuracy of the pattern synthesis method are slow and poor. When applied to a linear array, the side lobe level (SLL), main lobe and null (beam width and direction) of the antenna array cannot be effectively controlled. Deficiencies in sidelobe level (SLL) and null depth

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