An Improved Constant Modulus Algorithm for Blind Signal Adaptation in Wireless Communications

Emmanuel Adotse Otsapa
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Abstract

While the Constant Modulus Algorithm (CMA) is the most often used blind signal equalization or adaptation technique, it converges slowly and produces excessive Side Lobe Level (SLL) radiation, which wastes energy and interferes with other equipment. Additionally, interfering signals may be picked up by side lobes, increasing the noise level in the receiver. A normalized constant-modulus method with adjustable step size was devised, which considerably increased its convergence rate. The Blackman window was also applied to the CMA to lower the SLL. The designed beamformer improved convergence rate by 40%, as observed by lower Mean Square Error (MSE) to Signal to Interference plus Noise Ratio (SINR) values. As a result, the beam former is a viable alternative in an environment where channel conditions are constantly changing. Furthermore, the use of the Blackman window had the ability to minimize the Peak Side Lobe Level (PSLL) and resulted in a 5 dB improvement over CMA for the SLL rejection gain. As compared to the conventional CMA, the Improved CMA displayed the highest reduction in PSLL with quick convergence capabilities and saved a lot of energy wastage due to side lobes minimization. These characteristics make the ICMA a potential choice for advanced wireless applications
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一种改进的恒模算法用于无线通信中的盲信号自适应
恒模算法(Constant Modulus Algorithm, CMA)是最常用的盲信号均衡或自适应技术,但其收敛速度慢,产生过多的旁瓣电平(Side Lobe Level, SLL)辐射,不仅浪费能量,还会干扰其他设备。此外,干扰信号可能被旁瓣拾取,增加了接收机中的噪声水平。设计了一种步长可调的归一化常模方法,大大提高了算法的收敛速度。Blackman窗口也被应用于CMA以降低SLL。通过较低的均方误差(MSE)和信噪比(SINR)可以观察到,所设计的波束形成器将收敛速率提高了40%。因此,波束形成器在信道条件不断变化的环境中是一种可行的替代方案。此外,Blackman窗口的使用能够最小化峰值旁瓣电平(PSLL),并导致SLL抑制增益比CMA提高5 dB。与传统的CMA相比,改进的CMA显示出最大的PSLL降低,具有快速收敛能力,并且由于最小化了侧叶而节省了大量的能量浪费。这些特点使ICMA成为先进无线应用的潜在选择
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