LMI Method to Design and Optimize FIR Loop Filters in Fixed WiMAX PLL

Abstract

Fixed WiMAX is the fourth generation of communication systems. Optimization of the performance of Fixed WiMAX system is an important issue in communication system. In this paper, we designed Finite Impulse Response (FIR), digital filters by Semi-Definite Programming (SDP) using SeDuMi (self-dual minimization) toolbox software. The stability is assured using LMI constraints. Design efficiency and performance of the proposed method are illustrated by simulations and comparisons to other design methods. The minimum length FIR filter algorithm was used to proof that the order of the FIR filter which was designed is optimal for our design specifications. The proposed method gave better result with regard to all specifications of control signal, where we had the faster system and more stable than the system with FIR filter which was designed using SDP method and simulated using toolbox software (CVX).