Abstract
AbstractThis chapter looks at some linear time invariant (LTI) representations of fractional order systems. Since the LTI theory is well developed, casting fractional order systems in state space or transfer function framework helps in the intuitive understanding and also the use of existing tools of LTI systems with some modifications. The discrete versions of fractional order models are also introduced since many practical applications in signal processing work on discrete time system models and discrete signals. Some basic signal processing techniques, like continuous and discrete fractional order realizations, convolution and norms, applied to fractional order signals and systems are also introduced.KeywordsFractional order (FO) differ-integratorsConstant Phase Element (CPE)FO realizationFO LTI systemsFO convolutionFO correlation
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