CRB Curves for Uniform Linear Arrays

Analysis of CRB (Cramér-Rao Bound) curves for uniform linear arrays leads to the following conclusions: uniform linear arrays demonstrate excellent suitability for array signal processing applications. A uniform linear array represents an array configuration achieved by arranging receiving elements at equidistant intervals along a straight line. This specific array geometry offers significant advantages in signal processing applications by providing enhanced directional capabilities, reducing signal interference, and improving target signal capture efficiency. The mathematical formulation typically involves calculating the Fisher information matrix based on array manifold vectors, where the steering vector for a ULA can be expressed as a(θ) = [1, e^{-j2πdsin(θ)/λ}, ..., e^{-j2πd(M-1)sin(θ)/λ}]^T, with d representing element spacing, λ denoting wavelength, and M indicating the number of array elements. Through computational analysis of CRB curves using such array response models, researchers can better understand and optimize performance parameters in array signal processing systems, including direction-of-arrival estimation accuracy and resolution thresholds.