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Generation of correlated binary sequences from white noise.
F M Izrailev1, A A Krokhin, N M Makarov
1Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla, Puebla, 72570, Mexico.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
Summary
A new method generates random binary sequences with specific correlation properties. This approach, based on the convolution method, easily creates sequences exhibiting power-law decaying pair correlations.
Area of Science:
- Signal processing
- Statistical modeling
- Information theory
Background:
- Generating random sequences is crucial for simulations and data analysis.
- Existing methods for continuous random processes are widely used.
- Controlling correlation properties in binary sequences is challenging.
Purpose of the Study:
- To introduce a novel method for generating random binary sequences.
- To enable the creation of sequences with user-defined correlation characteristics.
- To facilitate the generation of binary sequences with power-law decaying pair correlators.
Main Methods:
- Modification of the convolution method for continuous random processes.
- Application of the modified convolution method to binary sequence generation.
- Inclusion of specific parameters to control correlation properties.
Main Results:
- A practical method for generating random binary sequences is presented.
- The method allows for the generation of sequences with prescribed correlation properties.
- Successfully generated binary sequences with a power-law decaying pair correlator.
Conclusions:
- The proposed method offers a flexible approach to binary sequence generation.
- It extends the applicability of the convolution method to discrete sequences.
- This technique simplifies the creation of sequences with specific statistical properties.
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