用于滤波器组多载波系统的新型滤波器优化设计算法

Novel filter design algorithm for filterbank multicarrier system

为了提高滤波器多载波系统的设计性能,针对多载波系统的原型函数优化问题,提出了一种启发式优化算法—雕塑算法。通过分析原型滤波器的性能评价指标,建立原型滤波器优化设计的数学模型,将原型滤波器的优化设计归结为一个多变量联合求取最小值的问题,并采用提出的雕塑算法进行优化求解。以基于模拟退火算法的滤波器优化设计算法作为比较对象,评估了雕塑算法在算法有效性及求解质量等方面的性能。仿真结果表明,雕塑算法设计的滤波器在阻带衰减幅度、过渡带宽度、时域拖尾衰减速率等方面表现优异,在应用于经典的滤波多音调制系统中,系统误码率也较低。

In order to improve the performance of filter bank multicarrier system(FBMC),this paper proposes a heuristic optimization algorithm,named sculpture algorithm,for the design of prototype filter in FBMC.Based on the analyzsis of the evaluation index of prototype filter,a mathematical model of filter optimization is established,which is actually a minimize problem of multivariate joint optimization,and a solution is obtained by using the proposed sculpture algorithm.The simulated annealing algorithm is used as the object of comparison to evaluate the performance of the proposed algorithm in terms of validity and quality of solution.The simulation results show that the proposed algorithm outperforms with respect of the stopband attenuation,the transition band width and the time zone tailing attenuation rate etc.Furthermore,the biterror rate is low when the proposed sculpture algorithm is used on filter multi-tone modulation system.