Reducing the Number of Sensors in a Linear Antenna Array by ℓp Norm Minimization Algorithm

다국어 초록 (Multilingual Abstract)

The excitations and locations of sensors in the non-uniformly spaced array affect the array performance such as sidelobe level and spatial resolution. Consequently, finding the optimal excitation coefficients and sensor positions of the array to produce a desired beam pattern with the smallest number of sensors is of great importance in practice. With the aim of reducing the number of the sensors in a linear antenna array, a novel method based on ℓp (0<p<1) norm minimization for optimizing both excitation coefficients and sensor locations of the array is proposed. Compared with the reweighted ℓ1 norm minimization (IRWL1) method, the proposed method can reduce more array sensors by optimizing the objective functions that include the measurements of peak sidelobe level (PSL) and array sparsity denoted by the ℓp norm of excitations. Numerical experiments have proved the effectiveness and advantages of the proposed method in the reduction of the number of the sensors of the linear antenna array.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Sparse Array Synthesis Problem
• 3. Sparse Array Synthesis via IRWL1 and ℓp Norm Minimization
• 3.1. Sparse Array Synthesis Method Based on IRWL1
• 3.2. Sparse Array Synthesis Method Based on ℓp Norm Minimization
• 4. Simulation Result
• 5. Conclusion
• Acknowledgments
• References