Amplitude truncation of Gaussian 1/f(α) noises

Shunya Ishioka, Z. Gingl, Donghak Choi, Nobuko Fuchikami

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Abstract

An interesting experimental fact concerning Gaussian 1/f noise was reported a few years ago: when the noise amplitude is truncated at two levels under rather general conditions, the power spectral density remains the same. In this Letter, we present a theoretical derivation of this invariant property of 1/f noise, together with a generalization for Gaussian 1/f(α) noises with 0 <α <2. More specifically, it is proved that when 0 <α ≤ 1, a transformation of keeping only the sign of 1/f(α) noise, i.e. y(t) = sgn[x(t)], leads to the same 1/f(α) spectrum. When 1 <α <2, the transformation yields 1/f((α + 1)/2) noise. Our theoretical results are confirmed by numerical simulations. (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)7-12
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume269
Issue number1
DOIs
Publication statusPublished - Apr 24 2000

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Amplitude truncation of Gaussian 1/f(α) noises. / Ishioka, Shunya; Gingl, Z.; Choi, Donghak; Fuchikami, Nobuko.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 269, No. 1, 24.04.2000, p. 7-12.

Research output: Contribution to journalArticle

Ishioka, Shunya ; Gingl, Z. ; Choi, Donghak ; Fuchikami, Nobuko. / Amplitude truncation of Gaussian 1/f(α) noises. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2000 ; Vol. 269, No. 1. pp. 7-12.
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