Beamforming Algorithm for Isotropic Linear Arrays

Given parameters including element spacing, number of array elements, wavelength, and beam steering angle, we can implement a beamforming algorithm for isotropic linear arrays. This algorithm enables signal focusing capabilities, thereby enhancing signal reception quality and transmission efficiency. By dynamically adjusting the phase and amplitude weights of array elements through complex weighting operations, we can precisely control beam patterns and steering directions to better适应 various application scenarios and requirements. The core implementation typically involves calculating phase delays using the formula Δφ = 2πd sin(θ)/λ, where d represents element spacing, θ is the steering angle, and λ denotes wavelength. This phase compensation creates constructive interference in the desired direction while suppressing interference from other directions. Key functions in MATLAB implementation would include array manifold vector calculation, weight vector optimization, and beam pattern visualization using functions like phased.ULA and phased.SteeringVector. Consequently, beamforming algorithms find extensive applications in communication systems, radar technology, sonar systems, and other spatial signal processing domains.