Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Abstract

Design of full-band infinite impulse response (IIR) digital differentiator (DD) and digital integrator (DI) based on the L k -norm and the min-max optimality criteria have been demonstrated in literature. However, the designed IIR DDs and DIs using these criteria do not have linear phase or have unsatisfactory magnitude response. In this paper, a novel approach to design, optimize and improve the magnitude response and the linearity of the phase response of IIR DD and DI using the cuckoo search (CS) optimization algorithm is proposed. The proposed approach is based on a varied L k -norm where k linearly increases with the number of the frequency samples between the values 1 and 2. The design and optimization of DDs and DIs are carried out using the CS optimization method due to its simplicity, efficiency, and robustness in solving general multidimensional optimization problems. The performance of the designed DDs and DIs using the proposed approach is compared with designs based on different criteria and algorithms available in literature. The comparison shows that the designed DDs and DIs based on the proposed approach have better phase responses and better or at least comparable magnitude responses compared to those of DDs and DIs designed using other methods in the literature.

Adaptive infinite impulse response system identification using an enhanced golden jackal optimization

“…( 7), ( 8) and ( 14) based on exploration phase else ( 1)  E Refresh the prey position via Eqs. ( 15), ( 16) and (14)…”

“…( 12), (13) Exploration phase Refresh the prey position via Eqs. ( 7), ( 8), (14) Exploitation phase Refresh the prey position by Eqs. ( 15), ( 16), ( 14 The computational complexity of each algorithm is considered as the evaluation function that closely links the issue's input value with the method's run-time.…”

“…Ababneh et al found a unique cuckoo search algorithm to optimize the IIR filter, the proposed algorithm had great robustness and stability to identify the best result [14]. Mohammadi et al applied a revised inclined planes system optimization to design the IIR filter's parameters, this algorithm attained rapid convergence efficiency and excellent optimization accuracy [15].…”

Metaheuristic Optimization Techniques Used in Controlling of an Active Magnetic Bearing System for High-Speed Machining Application

“…Some cuckoo species lays their eggs in other bird nests at first. However, host birds may discover that these eggs are not their own (with a probability of p a ) and may either destroy or abandon them [57]. This indicates that the number of nests will decrease with each generation, thus it is believed that the hosting bird that abandoned his nest would establish a new nest in a different area therefore maintaining the number of nests constant between generations and introducing variation to the CS algorithm via fresh nest location [58].…”

A Novel Guided Box Filter Based on Hybrid Optimization for Medical Image Denoising

“…The filter used in the work has limitations in that it attenuates the frequencies that are below the cutoff range. Ababneh and Khodier [21] proposed the cuckoo search (CS) optimization technique to improve the magnitude and linearity of the phase response, leading to better denoising of medical images. The main issue in medical image denoising is to preserve the feature quality for disease diagnosis, such as tumor detection [22].…”