Infinite Impulse Response Approximations to the Non-integer Order Integrator Using Cuckoo Search Algorithm

Abstract

A popular metaheuristic global optimization technique called Cuckoo Search Algorithm (CSA) is employed to design non-integer order integrators (NOIs) in terms of the Infinite Impulse Response (IIR) templates in this paper. Extensive comparisons on the basis of design quality robustness, error convergence, and optimization time of the CSA-based NOIs are carried out with the Particle Swarm Optimization (PSO) based designs. Results demonstrate the efficient performance of CSA in exploring the multimodal, non-linear, and non-uniform error surface for this optimization problem. The CSA-based designs also outperform the recent literature by 9.67 decibel (dB) and 19.26 dB in terms of mean absolute relative magnitude error (MARME) and maximum absolute magnitude error (MAME) metrics, respectively.

Design and Implementation of Fractional-Order Microwave Integrator

“…Based on these traditional methods, many research articles exist on the design of fractional-order infinite impulse response (IIR) integrators for digital signal processing applications [4][5][6][7]. In recent years, various nature inspired optimization algorithms like particle swarm optimization (PSO) [8], colliding bodies optimization [9], cuckoo search algorithm (CSA) [10] etc., had been studied extensively to obtain the optimal designs of FOIs. Here, highly accurate designs in terms of magnitude error responses were achieved using these algorithms.…”