The bistability of higher-order differences of discrete periodic signals

Advances in Difference Equations

RP Agarwal¹  AY Shahverdian²  RB Benosman³ 

[1] Department of Mathematics, Texas A&Institute for Informatics and Automation Problems, National Academy of Sciences of Armenia, Yerevan, Armenia;M University, Kingsville, USA;Vision and Natural Computation Group, Vision Institute, University Pierre et Marie Curie-Paris 6, Paris, France

关键词: higher-order differences;    discrete dynamical systems;    discrete-time signals;   

DOI  :  10.1186/1687-1847-2014-60

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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. MSC:37E05, 37M10, 94A12.

【 授权许可】

CC BY