The bistability of higher-order differences of discrete periodic signals

被引:0
|
作者
Shahverdian, A. Y. [1 ]
Agarwal, R. P. [2 ]
Benosman, R. B. [3 ]
机构
[1] Natl Acad Sci Armenia, Inst Informat & Automat Problems, Yerevan 0014, Armenia
[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[3] Univ Paris 06, Vis Inst, Vis & Nat Computat Grp, F-75012 Paris, France
关键词
higher-order differences; discrete dynamical systems; discrete-time signals; SYSTEMS; CHAOS;
D O I
10.1186/1687-1847-2014-60
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] The bistability of higher-order differences of discrete periodic signals
    AY Shahverdian
    RP Agarwal
    RB Benosman
    Advances in Difference Equations, 2014
  • [2] HIGHER-ORDER INSTABILITIES IN ABSORPTIVE OPTICAL BISTABILITY
    LUGIATO, LA
    BENZA, V
    NARDUCCI, LM
    FARINA, JD
    APPLIED PHYSICS B-PHOTOPHYSICS AND LASER CHEMISTRY, 1982, 28 (2-3): : 164 - 164
  • [3] OPTICAL BISTABILITY, INSTABILITIES AND HIGHER-ORDER BIFURCATIONS
    LUGIATO, LA
    BENZA, V
    NARDUCCI, LM
    FARINA, JD
    OPTICS COMMUNICATIONS, 1981, 39 (06) : 405 - 410
  • [4] CHAOS AND HIGHER-ORDER DIFFERENCES
    NEUBERGER, JW
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 101 (01) : 45 - 50
  • [5] ON THE HIGHER-ORDER DISTRIBUTIONS OF SPEECH SIGNALS
    GABOR, G
    GYORFI, Z
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1988, 36 (04): : 602 - 603
  • [6] Higher-order discrete Lagrangian mechanics
    Benito, Roberto
    De Leon, Manuel
    Martin De Diego, D.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2006, 3 (03) : 421 - 436
  • [7] Discrete semipositone higher-order equations
    Agarwal, RP
    Grace, SR
    O'Regan, D
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (6-9) : 1171 - 1179
  • [8] HIGHER-ORDER WAVE INTERACTIONS IN A PERIODIC MEDIUM
    SESHADRI, SR
    APPLIED PHYSICS, 1976, 10 (02): : 165 - 173
  • [9] PERIODIC-SOLUTIONS OF HIGHER-ORDER SYSTEMS
    BATES, PW
    WARD, JR
    PACIFIC JOURNAL OF MATHEMATICS, 1979, 84 (02) : 275 - 282
  • [10] Higher-order spectral analysis of complex signals
    Schreier, Peter J.
    Scharf, Louis L.
    SIGNAL PROCESSING, 2006, 86 (11) : 3321 - 3333