On the Fractional Linear Scale Invariant Systems
- Citation:
- Ortigueira, MD. 2010. On the Fractional Linear Scale Invariant Systems. IEEE Transactions on Signal Processing. 58:6406–6410., Number 12
Abstract:
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.
Notes:
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