A synthesis of a 1/f process via Sobolev spaces and fractional integration

Medina J.M.; Cernuschi-Frias B.

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A synthesis of a 1/f process via Sobolev spaces and fractional integration

机译：通过Sobolev空间和分数积分合成1 / f过程

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摘要

We provide an almost-sure convergent expansion of a process with power law of fractional order by means of some known theorems from harmonic analysis and rather simple probability theory results.

机译：我们通过谐波分析的一些已知定理和相当简单的概率理论结果，提供了分数阶幂定律的过程的几乎确定的收敛扩展。

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来源
《IEEE Transactions on Information Theory》 |2005年第12期|p.4278-4285|共8页
作者
Medina J.M.; Cernuschi-Frias B.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
1/f noise; Gaussian processes; harmonic analysis; integration; probability; spectral analysis; 1-f process; Sobolev space; fractional integration; harmonic analysis; power law fractional order; probability theory result; stochastic process; Fractional integration; So;

机译：1 / f噪声;高斯过程;谐波分析;积分;概率;光谱分析;1-f过程;Sobolev空间;分数积分;谐波分析;幂律分数阶;概率论结果;随机过程;分数阶积分;So;

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A synthesis of a 1/f process via Sobolev spaces and fractional integration

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