Efficient Impulsive Noise Mitigation for OFDM Systems Using the Alternating Direction Method of Multipliers

Abstract

An efficient impulsive noise estimation algorithm based on alternating direction method of multipliers (ADMM) is proposed for OFDM systems using quadrature amplitude modulation (QAM). Firstly, we adopt the compressed sensing (CS) method based on the ℓ 1 -norm optimization to estimate impulsive noise. Instead of the conventional methods that exploit only the received signal in null tones as constraint, we add the received signal of data tones and QAM constellations as constraints. Then a relaxation approach is introduced to convert the discrete constellations to the convex box constraints. After that a linear programming is used to solve the optimization problem. Finally, a framework of ADMM is developed to solve the problem in order to reduce the computation complexity. Simulation results for 4-QAM and 16-QAM demonstrate the practical advantages of the proposed algorithm over the other algorithms in bit error rate performance gains.

A Simple Alternating Direction Method for the Conic Trust Region Subproblem

“…where 3 as defined by (45). The following theorem guarantees that the Algorithm 7 is globally convergent.…”

“…ADMM is an algorithm that solves convex optimization problems by breaking them into smaller pieces, each of which are then easier to handle. Because of its significant efficiency and easy implementation, it has recently found wide application in a number of areas (see [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]).…”

Two-Dimensional New Communication Technology for Networked Ammunition

“…Further, considering the orthogonality of the N subcarriers of the OFDM signal, the anti-noise performance of the OFDM signal can be equivalent to the sum of the anti-noise performance of the N MQAM signals [24], [25]. Without loss of generality, it is assumed that the number of subcarriers corresponding to the OFDM signal is N , each subchannel adopts MQAM modulation, and the bit error rate corresponding to each subchannel is M P [26], [27], and the bit error rate calculation process of the MQAM modulated signal is as follows:…”

Analysis and Experimental Validation of Efficient Coded OFDM for an Impulsive Noise Environment

“…The results of the proposed approach demonstrated precisely that the performances are much better than the conventional systems. Besides, Xin et al introduced in [ 12 ] an efficient impulsive noise estimation algorithm based on the Alternating Direction Method of Multipliers (ADMM) for OFDM systems using Quadrature Amplitude Modulation (QAM). Simulation results have shown that the proposed method can achieve bit error rate performance improvements at reduced computational complexities compared with the conventional techniques.…”