SYNTHESIS AND SIMULATION OF FRACTIONAL ORTHONORMAL BASES

Although rational orthogonal bases can be used to model any L2[0, ∞] system, they fail to capture the aperiodic multi-mode behaviour of fractional systems in a limited number of terms. The classical definition of orthogonal Laguerre, Kautz, and GOB functions has been extended for the use of fractional derivatives. An appropriate diagram is thus proposed for simulation.