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Design of FIR Filter Using Differential Evolution Optimization & to Study its Effect as a Pulse-Shaping Filter in a QPSK Modulated System

机译:利用差分演化优化设计FIR滤波器并研究其在QPSK调制系统中作为脉冲成形滤波器的效果

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摘要

In order to reduce the effect of Inter Symbol Interference (ISI) in a digital communication system, different types of transmitting pulse shaping filter has been extensively used in practice. We need to design these filters with some constraints imposed by requirements of the communication system in which we are going to use them. The use of different optimization technique, such as Genetic Algorithm (GA), Particle Swarm Optimization (PSO), has been proved to be quite useful towards the design of those digital filters with certain specifications. In this paper, we have proposed a linear phase FIR digital filter, which has been designed using Differential Evolution (DE) algorithm. The performance of the proposed filter has been examined by recording the variation of the resulting frequency response with number of iteration and population size. The convergence behavior of the optimization technique has also been studied. In addition, the proposed FIR filter has been used as a pulse-shaping filter in a Quadrature Phase Shift Keying (QPSK) modulated system and its performance has been evaluated in terms of some system parameters like Error Vector Magnitude (EVM), Signal to Noise Ratio (SNR) and Waveform Quality Factor (p). The Eye diagram of the system has also been presented for the proposed filter along with the standard filters like, Raised Cosine (RC) and Root Raised Cosine (RRC) to study the impact of these filters on system ISI.
机译:为了减少数字通信系统中符号间干扰(ISI)的影响,实际上已经广泛使用了不同类型的发射脉冲整形滤波器。我们需要设计这些过滤器时,要考虑到将要使用它们的通信系统的要求而施加的一些约束。事实证明,使用不同的优化技术,例如遗传算法(GA),粒子群优化(PSO),对于设计具有特定规格的数字滤波器非常有用。在本文中,我们提出了一种线性相位FIR数字滤波器,该滤波器是使用差分进化(DE)算法设计的。通过记录所得到的频率响应随迭代次数和总体大小的变化来检查所提出的滤波器的性能。还研究了优化技术的收敛行为。此外,所提出的FIR滤波器已在正交相移键控(QPSK)调制系统中用作脉冲整形滤波器,并且已根据一些系统参数(如误差矢量幅度(EVM),信噪比)对它的性能进行了评估。比率(SNR)和波形品质因数(p)。还针对建议的滤波器以及标准滤波器(如升余弦(RC)和根升余弦(RRC))展示了系统的眼图,以研究这些滤波器对系统ISI的影响。

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