产生相关二元序列的迭代方法
Iterative Method for Generating Correlated Binary Sequences
摘要：
提出了一种新的生成具有指定关联函数的随机相关二进序列的有效迭代方法。该方法是基于连续的线性调制的初始不相关的序列到相关的。调制的每一步都增加相关性，直到达到所需的水平。通过生成具有逆幂律相关性的序列来测试所提出算法的鲁棒性和效率。对于所有研究的关联函数，在迭代方法中相对于单步滤波生成的相关强度的实质性增加被示出。我们的研究结果可用于设计无序超晶格，波导和表面的选择性输运性质。
英文摘要：
We propose a new efficient iterative method for generating random correlated binary sequences with prescribed correlation function. The method is based on consecutive linear modulations of initially uncorrelated sequence into a correlated one. Each step of modulation increases the correlations until the desired level has been reached. Robustness and efficiency for the proposed algorithm are tested by generating sequences with inverse power-law correlations. The substantial increase in the strength of correlation in the iterative method with respect to the single-step filtering generation is shown for all studied correlation functions. Our results can be used for design of disordered superlattices, waveguides, and surfaces with selective transport properties.
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