Title:
The bistability of higher-order differences of discrete periodic signals
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Uncontrolled Keywords:
Higher-order differences ; discrete dynamical systems ; discrete-timesignals
Abstract:
A theorem on higher-order absolute differences taken from successive terms of bounded sequences is proved. This theorem establishes the property of bistability of such difference series and suggests a method for converting periodic discrete-time signals into the binary digital form based only on the computation of absolute differences.
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Journal or Publication Title:
Advances in Difference Equations
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Affiliation:
Institute for Informatics and Automation Problems of NAS RA ; Texas A&M University ; Department of Mathematics ; University Pierre et Marie Curie-Paris ; Vision and Natural Computation Group, Vision Institute