Abstract
Chapter 6 introduces variable-order fractional signal processing techniques. The simulation of multifractional processes was realized by replacing the constant-order fractional integrator with a variable-order integrator. So, the generated multifractional processes exhibit the local memory property. Similarly, variable-order fractional system models were built by replacing the constant-order long memory parameter d with a variable-order local memory parameter d t . The variable-order fractional system models can characterize the local memory of the fractional processes. A physical experimental study of the temperature-dependent variable-order fractional integrator and differentiator was introduced at the end of this chapter. Some potential applications of the variable-order fractional integrator and differentiator are briefly discussed.
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Sheng, H., Chen, Y., Qiu, T. (2012). Variable-Order Fractional Signal Processing. In: Fractional Processes and Fractional-Order Signal Processing. Signals and Communication Technology. Springer, London. https://doi.org/10.1007/978-1-4471-2233-3_6
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DOI: https://doi.org/10.1007/978-1-4471-2233-3_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2232-6
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