The purpose of this article is to investigate the viability of Multi-Carrier Modulation (MCM) systems based on the Fast Walsh Hadamard Transform (FWHT). In addition, a nonlinear Joint Low-Complexity Optimized Zero Forcing Successive Interference Cancellation (JLCOZF-SIC) equalizer is proposed. To that end, general equations for the number of flops of the proposed equalizer and various other equalizers are given. This article discusses the use of Banded Matrix Approximation (BMA) as a technique for reducing complexity. The proposed equalizer uses BMA to accomplish both equalization and co-Carrier Frequency Offset (co-CFO) corrections. In addition, three cases involving the proposed equalizer were investigated. In the first case, diagonal compensation is used. In the second case, BMA compensation is used. In the third case, complete matrix compensation is used. In the presence of frequency offset, noise, and frequency-selective Rayleigh fading environments, analysis and simulation results show that the OFDM-FWHT system with the proposed equalizer outperforms the conventional OFDM system with various linear and nonlinear equalizers.

翻译：本文旨在研究基于快速Walsh-Hadamard变换（FWHT）的多载波调制（MCM）系统的可行性。同时，提出了一种非线性联合低复杂度优化迫零连续干扰消除（JLCOZF-SIC）均衡器。为此，给出了所提均衡器及其他多种均衡器的浮点运算数通用方程。本文探讨了采用带状矩阵近似（BMA）作为降低复杂度的方法。所提均衡器利用BMA同时实现均衡与共载波频率偏移（co-CFO）校正。此外，针对该均衡器研究了三种情况：第一种采用对角补偿，第二种采用BMA补偿，第三种采用全矩阵补偿。在存在频率偏移、噪声和频率选择性瑞利衰落环境下的分析与仿真结果表明，采用所提均衡器的OFDM-FWHT系统在性能上优于采用各种线性和非线性均衡器的传统OFDM系统。