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Designing Quasi-Linear Phase IIR Filters for Audio Crossover Systems by using Swarm Intelligence

机译:使用群体智能为音频分频系统设计准线性相位IIR滤波器

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In sound reproduction systems the audio crossover plays a fundamental role. Nowadays, digital crossover based on IIR filters arc commonly employed, of which non-linear phase is a relevant topic. For this reason, solutions aiming to IIR filters approximating a linear phase behavior have been recently proposed. One of the latest exploits Fractional Derivative theory and uses Evolutionary Algorithms to explore the solution space in order to perform the IIR filter design: the IIR filter phase error is minimized to achieve a quasi-linear phase response. Nonetheless, this approach is not suitable for a crossover design, since the single filter transition band behavior is not predictable. This shoved the authors to propose a modified design technique including suitable constraints, as the amplitude response cut-off frequency, in the ad-hoc Particle Swarm Optimization algorithm exploring the space of IIR filter solutions. Simulations show that not only more performing filters can be obtained hut also fully flat response crossovers achieved.
机译:在声音再现系统中,音频分频器起着基本作用。如今,基于IIR滤波器的数字分频器已被广泛采用,其中非线性相位是一个相关的主题。因此,最近提出了针对IIR滤波器近似线性相位特性的解决方案。一种最新的利用分数导数理论的方法,并使用进化算法来探索解空间以执行IIR滤波器设计:IIR滤波器的相位误差被最小化以实现准线性相位响应。但是,该方法不适用于分频设计,因为单个滤波器的过渡带行为是不可预测的。这促使作者在探索IIR滤波器解决方案空间的即席粒子群优化算法中提出了一种改进的设计技术,该技术包括适当的约束(作为幅度响应截止频率)。仿真表明,不仅可以获得性能更高的滤波器,而且还可以实现完全平坦的响应分频。

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