Novel Wide Band Digital Differentiators and Integrators using Different Optimization Techniques

This work presents new IIR digital differentiators of first and higher orders based on optimizing the Al-Alaoui integrator using Simulated Annealing, Genetic Algorithms, and Fletcher and Powell Optimization. The work notes the idea that inverting an optimized integrator does not necessarily lead to an optimized differentiator since the work starts with the differentiators as opposed to starting with the integrators which is not the norm in previous works. The proposed differentiators are compared with many available differentiators and are proven to be of considerable accuracy. These differentiators are afterwards inverted and transformed into digital integrators of same orders.