A derivative based discrete-time signal processing is presented. Both nabla (forward) and delta (backward) derivatives are studied and generalised including the fractional case. The corresponding exponentials are introduced as eigenfunctions of such derivatives. These lead to discrete-time Laplace transforms that are used to define and study the linear discrete-time derivatives.
|Title of host publication||Workshop on Fractional Differentiation and its Applications|
|Publication status||Published - 1 Jan 2013|
|Event||Fractional Differentiation and its Applications - |
Duration: 1 Jan 2013 → …
|Conference||Fractional Differentiation and its Applications|
|Period||1/01/13 → …|
Coito, F. J. A. V. D., & Ortigueira, M. D. (2013). A New Look into the Discrete-Time Fractional Calculus: Transform and Linear Systems. In Workshop on Fractional Differentiation and its Applications (pp. 635-640) https://doi.org/10.3182/20130204-3-FR-4032.00078