Our initial research work was focussed on employing metaheuristic optimization techniques to design optimal digital signal processing (DSP) systems such as the full band, conventional infinite impulse response differentiators and integrators meeting the accurate magnitude responses with a smaller average group delay. Since, integer order systems are a tight subset of the fractional order (FO) systems the research has been extended towards the optimal design of FO differentiators and integrators in the discrete domain with improved frequency response performances. Specific emphasis was laid on the feasibility of the designed FO differentiators in controlling a double-integrator plant. Analogue Butterworth filter with fractional stepping in the transition band has also been realized using an optimal integer-order rational transfer function. In future, we intend to design and implement generalized fractional-order filters on FPGA/DSP kit and FPAAs.

中文翻译：

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用于信号处理应用的模拟和数字分数阶滤波器的优化设计

我们最初的研究工作集中在运用元启发式优化技术来设计最佳的数字信号处理（DSP）系统，例如全频带，传统的无限冲激响应微分器和积分器，它们以较小的平均群时延满足准确的幅度响应。由于整数阶系统是分数阶（FO）系统的紧密子集，因此该研究已扩展到具有改进的频率响应性能的离散域中FO微分器和积分器的优化设计。特别强调了设计的FO微分器在控制双积分器工厂中的可行性。还使用最佳整数阶有理传递函数实现了在过渡带中具有分数步进的模拟巴特沃思滤波器。