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Iterative method for generating correlated binary sequences.

O V Usatenko1, S S Melnik1, S S Apostolov1

  • 1A. Ya. Usikov Institute for Radiophysics and Electronics, Ukrainian Academy of Science, 12 Proskura Street, 61085 Kharkov, Ukraine.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
PubMed
Summary
This summary is machine-generated.

We developed an iterative method to generate random binary sequences with specific correlations. This efficient technique improves correlation strength compared to single-step methods, aiding in material design.

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Area of Science:

  • Physics
  • Materials Science
  • Computer Science

Background:

  • Generating correlated random sequences is crucial for simulating complex systems.
  • Existing methods may lack efficiency or precise control over correlation functions.

Purpose of the Study:

  • To propose an efficient iterative method for generating random correlated binary sequences.
  • To demonstrate the method's ability to achieve a prescribed correlation function.

Main Methods:

  • The method employs consecutive linear modulations of an initially uncorrelated sequence.
  • Iterative steps progressively increase sequence correlations to a desired level.
  • Algorithm robustness and efficiency are validated using inverse power-law correlations.

Main Results:

  • The iterative method significantly enhances correlation strength over single-step filtering.
  • The approach is effective for various correlation functions.
  • Generated sequences exhibit controlled, prescribed correlations.

Conclusions:

  • The proposed iterative method offers an efficient way to generate correlated binary sequences.
  • This technique has potential applications in designing disordered materials with specific transport properties.
  • Results are applicable to superlattices, waveguides, and surfaces.