Array pattern synthesis method based on non-uniform fast Fourier transform algorithm

A Fourier transform, array direction technology, applied in computing, complex mathematical operations, special data processing applications, etc.

Active Publication Date: 2019-06-11
CETC YANGZHOU BAOJUN ELECTRONICS
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Problems solved by technology

[0004] Fast Fourier transform can be used in the equally spaced sampling of the array, but for non-uniform arrays, due to the non-uniform sampling of the array, the method of fast Fourier transform It is no longer applicable. When performing pattern synthesis on complex non-uniform arrays, in order to reduce computational complexity and improve computational efficiency, it is particularly important to find a pattern synthesis method for non-uniform arrays.

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  • Array pattern synthesis method based on non-uniform fast Fourier transform algorithm
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  • Array pattern synthesis method based on non-uniform fast Fourier transform algorithm

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[0027] The array pattern synthesis method based on the non-uniform fast Fourier transform algorithm provided by the present invention specifically includes the following steps:

[0028] Step S1: Determine the finite element model of the array antenna structure, and use finite element software to initialize parameters. Initially set a larger peak sidelobe level value, randomly initialize the element excitation A, and set the maximum number of iterations.

[0029] Step S2: Calculate the interpolation coefficient x(c m ).

[0030] Step S21: Assuming that the array is a non-uniform linear array, consider that there are 40 grids in the array, M=40, and the spacing is d=λ / 2. The array elements whose grid numbers are 2, 5, 12, 23, and 34 are thinned out; the remaining array elements are retained and form a sparse line array. The distance between each array element and the first leftmost array element in the array is d m In other words, the array factor can be expressed as:

[00...

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Abstract

The invention belongs to the technical field of antenna array pattern synthesis, and particularly relates to an array pattern synthesis method based on a non-uniform fast Fourier transform algorithm.The method comprises the steps of setting an antenna array with a certain array element number, wherein the uniform linear array has an array element interval of d; initializing parameters: setting apeak sidelobe level value, randomly initializing array element excitation, and setting the maximum number of iterations; calculating an interpolation coefficient x(cm) and a matrix W; calculating thevalue of the vector T according to T = WA; performing K-point IFFT on the vector T; modifying the array factor after the IFFT operation; carrying out fast Fourier transform on the modified array factor, intercepting the first L points, and obtaining the modified array element excitation T again; and finally, according to the formula (shown in the specification), converting the matrix into an excitation value A corresponding to each real array element. According to the method, fast Fourier transform is adopted for calculation of each pattern, so that the operation efficiency is high, and the processing speed is high under the condition of complex data; the method can be used for synthesizing the uniform array and the non-uniform array pattern at the same time, and the application range is wide.

Description

technical field [0001] The invention belongs to the technical field of antenna array pattern synthesis, and in particular relates to an array pattern synthesis method based on a non-uniform fast Fourier transform (NUFFT) algorithm. Background technique [0002] Antenna arrays are widely used in satellite navigation and positioning, radio detection and ranging, and communications. With the development of array antenna technology, electronic devices in practical applications have more and more stringent requirements on the array pattern. Due to the variety of array arrangements, the number of array elements is increasing, the number of solution variables increases, and the problem of pattern synthesis It becomes more and more complex, so algorithms with faster operation and more stable performance are needed to complete the solution of the direction diagram. [0003] The array pattern synthesis method based on fast Fourier transform utilizes a pair of Fourier transform relati...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06F17/14
CPCY02D30/70
Inventor 王伶夏继钢张林让谢坚汤湘伟闫双山靳文静陶明亮汪跃先张兆林粟嘉邢自健韩闯刘龙宫延云杨欣
Owner CETC YANGZHOU BAOJUN ELECTRONICS
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