On the Fractional Linear Scale Invariant Systems

Manuel Duarte Ortigueira, DEE Group Author

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7 Citations (Scopus)


The linear scale invariant systems are introduced for both integer and fractional orders. They are defined by the generalized Euler-Cauchy differential equation. The quantum fractional derivatives are suitable for dealing with this kind of systems, allowing us to define impulse response and transfer function with the help of the Mellin transform. It is shown how to compute the impulse responses corresponding to the two half plane regions of convergence of the transfer function.
Original languageUnknown
Pages (from-to)6406-6410
JournalIeee Transactions On Signal Processing
Issue number12
Publication statusPublished - 1 Jan 2010

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