Blind Identification of Sparse Systems Using Symbolic Dynamics Encoding

被引:1
|
作者
Mukhopadhyay, Sumona [1 ]
Leung, Henry [2 ]
机构
[1] York Univ, Dept Elect & Comp Sci, Toronto, ON M3J 1P3, Canada
[2] Univ Calgary, Dept Elect & Comp Engn, Calgary, AB T2N 1N4, Canada
关键词
Chaotic communication; Estimation; Encoding; Noise measurement; Neurons; Machine learning; MIMICs; Chaos; artificial neural network; sparse; symbolic dynamics; estimation; machine learning;
D O I
10.1109/LCOMM.2021.3053151
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
The unique properties of chaotic signals have led to their application in improving blind system identification performance. However, the role of chaos in blind identification of a sparse system has not been investigated. In this letter, we apply symbolic dynamics to encode a random signal to reap the benefits of chaos in improving blind identification of a sparse Moving Average (MA) system. We derive an estimation technique using the encoded signal by training a machine learning model that mimics a chaotic map. The novelty of our work is to exploit the merits of chaos in improving blind estimation performance of sparse systems at low signal-to-noise (SNR) ratio. The estimation error of our method is close to the minimum mean square error of the nonblind method for sparse system estimation and works well for a short data sequence.
引用
收藏
页码:1650 / 1654
页数:5
相关论文
共 50 条
  • [21] Symbolic Identification of Dynamical Systems: Theory and Experimental Validation
    Chakraborty, Subhadeep
    Keller, Eric
    Ray, Asok
    Mayer, Jeffrey
    2010 AMERICAN CONTROL CONFERENCE, 2010, : 3716 - 3721
  • [22] Understanding neurodynamical systems via Fuzzy Symbolic Dynamics
    Dobosz, Krzysztof
    Duch, Wiodzislaw
    NEURAL NETWORKS, 2010, 23 (04) : 487 - 496
  • [23] Symbolic dynamics for non-uniformly hyperbolic systems
    Lima, Yuri
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021, 41 (09) : 2591 - 2658
  • [24] SYMBOLIC DYNAMICS, COARSE GRAINING AND THE MONITORING OF COMPLEX SYSTEMS
    Basios, Vasileios
    Mac Kernan, Donal
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (12): : 3465 - 3475
  • [25] Contrastive Explanations to Classification Systems Using Sparse Dictionaries
    Apicella, A.
    Isgro, F.
    Prevete, R.
    Tamburrini, G.
    IMAGE ANALYSIS AND PROCESSING - ICIAP 2019, PT I, 2019, 11751 : 207 - 218
  • [26] Symbolic dynamics for pointwise hyperbolic systems on open regions
    Wu, Chupeng
    Zhou, Yunhua
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2025, 45 (02) : 595 - 648
  • [27] VALIDATED STUDY OF THE EXISTENCE OF SHORT CYCLES FOR CHAOTIC SYSTEMS USING SYMBOLIC DYNAMICS AND INTERVAL TOOLS
    Galias, Zbigniew
    Tucker, Warwick
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (02): : 551 - 563
  • [28] Sparse identification of nonlinear dynamics for model predictive control in the low-data limit
    Kaiser, E.
    Kutz, J. N.
    Brunton, S. L.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 474 (2219):
  • [29] Discovering governing equations from data by sparse identification of nonlinear dynamical systems
    Brunton, Steven L.
    Proctor, Joshua L.
    Kutz, J. Nathan
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2016, 113 (15) : 3932 - 3937
  • [30] Distribution Systems Fault Location Identification Using Mixed Datasets
    Kahnamouei, Ali Shakeri
    Lotfifard, Saeed
    IEEE TRANSACTIONS ON POWER DELIVERY, 2025, 40 (02) : 951 - 964