Prefractal signals and the Shannon-Whittaker sampling theorem
نویسندگان
چکیده
Function with fractal characteristics can be obtained using periodic components and all these components are band-limited functions. Then, we can consider the conditions for the application of the ShannonWhittaker theorem for the case of prefractal signals. Also, we relate such theorem with the order of the prefractal signal. For such studies, we use an expression of the sampling theorem for periodic (band-limited) functions, we obtain the consequence when the signal is a prefractal, built as a product superposition of periodic functions. Key-Words: prefractal signals, Shannon-Whittaker theorem, sampling theorem, digital and analog fractal signals
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