A matched filter for chaos

DOI10.1063/1.3432557zbMath1311.37002OpenAlexW1980487611WikidataQ51684011 ScholiaQ51684011MaRDI QIDQ5250451

Jonathan N. Blakely, Ned J. Corron, Mark T. Stahl

Publication date: 19 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3432557

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (14)

Optimal communications with infinite impulse response matched filters ⋮ Analytically solvable chaotic oscillator based on a first-order filter ⋮ Synthesizing antipodal chaotic waveforms ⋮ Communication with unstable basis functions ⋮ Generation of 2N + 1-scroll existence in new three-dimensional chaos systems ⋮ Generation and dynamics analysis of N-scrolls existence in new translation-type chaotic systems ⋮ Digital underwater communication with chaos ⋮ Exact analytic solution for a chaotic hybrid dynamical system and its electronic realization ⋮ Communication waveform properties of an exact folded-band chaotic oscillator ⋮ UNCOVERING MISSING SYMBOLS IN COMMUNICATION WITH FILTERED CHAOTIC SIGNALS ⋮ Exact folded-band chaotic oscillator ⋮ Erratum: “A matched filter for chaos” [Chaos 20, 023123 (2010)] ⋮ Acoustic detection and ranging using solvable chaos ⋮ Direct symbol decoding using GA-SVM in chaotic baseband wireless communication system

Cites Work

• Retarded differential equations with piecewise constant delays
• Integral manifolds of differential equations with piecewise constant argument of generalized type
• Chaos generation using binary hysteresis
• Stochastic-calculus-based numerical evaluation and performance analysis of chaotic communication systems
• Theoretical noise performance of correlator-based chaotic communications schemes
• Chaos from a hysteresis and switched circuit
• Constructing dynamical systems with specified symbolic dynamics
• The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization
• Linear, Random Representations of Chaos
• REVIEW OF CHAOS COMMUNICATION BY FEEDBACK CONTROL OF SYMBOLIC DYNAMICS
• Analyzing communication schemes using methods from nonlinear filtering

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