A method and device for forming a constant gain-loss beam based on convex optimization

Abstract

The invention discloses a gain-loss constant wave beam formation method based on convex optimization and an apparatus thereof. The method and the apparatus belong to a digital wave beam formation technology of the array signal processing field. The method comprises the following steps of step1, according to arrangement of an antenna array, acquiring an array element signal vector a (theta); step2, determining an optimization condition of wave beam formation, converting the optimization condition into a convex optimization form, and using convex optimization solving tool to calculate a solution w of the optimization condition; step3, using a weight vector w to compensate the array element signal vector wHa (theta), and superposing the compensated array elements signals to acquire a gain-loss constant wave beam.

Description

technical field [0001] The present invention belongs to the digital beam forming (Digital Beam Forming, DBF) technology in the field of array signal processing, and specifically uses a convex optimization method to realize a beam forming technology that can control signal gain. Background technique [0002] The existing digital beamforming technology represented by windowing has been applied in the field of radio detection and communication, but with the promotion of this technology in the fields of electronic reconnaissance and electronic jamming, its shortcomings are gradually revealed. [0003] The principle of the traditional digital beamforming method is as follows: figure 1 , let the incident angle of the signal s(n) relative to the normal of each element of the antenna array be θ 0 , the frequency is f, and the signal received by each element m of the uniform linear array is: [0004] x m (n)=exp(j2πfn)*exp[j2πd(m-1)sin(θ 0 ) / λ]; [0005] Among them, d is the arr...

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Problems solved by technology

[0012] a) The gain loss is serious, and it is not suitable for situations such as over-the-horizon reconnaissance and high ERP launch with high gain requirements;

[0013] b) The beam broadening is serious, and it is difficult to achieve high-resolution direction finding;

[0014] c) The beam shape lacks quantitative design, and it is difficult to implement spatial filtering methods such as square position zero

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