Beam Pattern Plotting Using Chebyshev Weight Vector and Array Element Spacing

The beam pattern can be plotted using Chebyshev weight vectors and array element spacing configuration. When provided with a specific direction input x, the system calculates the radiation pattern value for that particular direction and generates the corresponding plot. If no directional input is specified, the implementation computes the radiation values across all possible directions and generates a comprehensive beam pattern visualization. This approach utilizes Chebyshev polynomial-based weighting to achieve optimal sidelobe suppression while maintaining main beam characteristics. The algorithm typically involves calculating array factor using the formula: AF(θ) = Σ(w_n * e^(j*k*d_n*cos(θ))), where w_n represents the Chebyshev weights, d_n denotes element spacing, and k is the wave number. This methodology provides complete visualization of beam pattern characteristics, including main lobe width, sidelobe levels, and directivity patterns, making it particularly valuable for antenna array design and signal processing applications.