Linearization method for reducing number of design parameters in antenna array synthesis problem

Abstract

The invention provides a linearization method for reducing the number of design parameters in an antenna array synthesis problem. The method comprises the following steps of converting an amplitude-phase form of the port excitation design parameters of an antenna array into a real part-imaginary part form; establishing a nonlinear equation set of the antenna array according to an expected array factor in a real part-imaginary part form of the antenna array in a certain direction in combination with the actual array factor in the certain direction; setting a parameter vector to equivalently process the nonlinear equation set of the antenna array to obtain a linear equation set of the antenna array about the parameter vector and the port excitation design parameter; solving the port excitation design parameter meeting the design requirement of the antenna array according to the design requirement of the antenna array. The method has the beneficial effects that the complexity of the antenna array synthesis problem is reduced, the number of the design parameters of the port excitation parameters related to the antenna array scale is reduced, the calculation cost is further reduced, andthe design efficiency of the antenna array is improved.

Description

technical field [0001] The invention relates to the field of electronic information, in particular to a linearization method for reducing the number of design parameters in an antenna array synthesis problem. Background technique [0002] In the field of antenna design, the design of large-scale antenna arrays is a hot topic, and the comprehensive design problem of the array is: given the desired beam pattern for Solving Array Cell Layout and port excitation Make the array pattern match the desired pattern; where: N represents the discretization number of radiation directions, θ i ,φ i Both represent pitch and azimuth angles. The array synthesis design problem is modeled as an optimization problem, described as follows: in, In order to optimize the objective function, such as the error function between the expected pattern in the antenna array pattern synthesis and the pattern obtained by the actual design; Constraint conditions, such as sidelobe level and zer...

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Problems solved by technology

[0003]In array synthesis optimization problems, port excitation and array cell layout is the design parameter; the array synthesis design problem is a kind of complex optimization problem, which has nonlinearity, many parameters, and even the disaster of dimensionality. It brings great difficulties to the actual antenna array layout, so it is necessary to study a method to solve the problem of many design parameters of the antenna array

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