Constant Beamwidth Beamforming Method for Arbitrary Array Structures

This paper presents a method for achieving constant beamwidth beamforming in arbitrary array configurations. The technique employs Bessel function decomposition to address beamforming challenges. By decomposing the beamforming problem into combinations of Bessel functions, the system gains flexible control over beam width and shape parameters, enabling precise manipulation of array structures. The implementation typically involves calculating Bessel function coefficients through Fourier-Bessel series expansion, where the key algorithm computes weight vectors using orthogonal function properties. This methodology finds applications across multiple domains including wireless communications, radar systems, and medical imaging technologies. The code implementation generally involves three core components: array geometry normalization, Bessel coefficient calculation, and beam pattern synthesis. Through this approach, significant improvements in signal gain enhancement and target resolution capabilities can be achieved, ultimately boosting overall system performance and operational effectiveness. The mathematical framework ensures consistent beamwidth maintenance across frequency bands while accommodating irregular array layouts through adaptive weighting functions.