Fractional Order Differintegrators Design Using New First-Order Transforms and Its Applications to ECG Signal

The major goal of this study is to use new first-order transforms to develop fractional order integrators and differentiators. Indirect and direct discretization strategies are extensively employed in the construction of differentiators and integrators. Initially, a novel second-order s-to-z transform was created by interpolating the Tick and trapezoidal integrators in this study. The model order reduction process produces innovative first-order transformations, which are then employed for discretization. The model order reduction technique is based on the assumption that in the s−plane, \(s \rightarrow 0\) and in the z−plane, \(z \rightarrow 1\) . In the design of fractional integrators and differentiators, discretization is crucial. Using continuous fraction expansion (CFE), the derived first-order transforms are discretized indirectly. The coefficients of the designed digital filters are listed. The normalized magnitude error (NME) plots are used to evaluate the performance of designed fractional order differintegrators. Moreover, the QRS complexity in Electrocardiogram (ECG) signal can be detected using the proposed fractional order differentiators.