Fractional Differential Equation-Based Instantaneous Frequency Estimation for Signal Reconstruction

In this paper, we propose a fractional differential equation (FDE)-based approach for the estimation of instantaneous frequencies windowed signals as part signal reconstruction. This is based on modeling bandpass filter results around peaks equations and linking differ-integrator parameters, thereby determining long-range dependence estimated frequencies. We investigated performance proposed with two evaluation measures compared it to benchmark noniterative reconstruction method (SPSI). The comparison was provided different overlap parameters investigate model concerning resolution. An additional by applying outputs iterative algorithms. FDE received better in high resolution case comparable SPSI an increasing iteration number methods, regardless parameter.