Design of a class of fractional-order analog wavelet filters

In this article, a methodology is proposed to implement fractional-order analog wavelet filters in the frequency domain. Under scheme, transfer function of linear time-invariant system used approximate Gaussian-like functions. Firstly, we construct causal, stable, and physically achievable mathematical approximation model. Then, model transformed into an optimization problem, hybrid particle swarm algorithm exploited find its global optimal solution. At same time, constraint terms are introduced ensure desired stability. The simulation results show that have higher accuracy than traditional integer-order filters. Furthermore, can provide more precise control stopband attenuation rate, which key issue for many engineering applications.