Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Amplitude Truncation of Gaussian 1/f^alpha noise   We study a kind of filtering, an amplitude truncation with upper and lower
truncation levels x_max and x_min. This is a generalization of the simple
transformation y(t)=sgn[x(t)], for which a rigorous result was obtained
recently. So far numerical experiments have shown that a power law spectrum
1/f^alpha seems to be transformed again into a power law spectrum 1/f^beta
under rather general condition for the truncation levels. We examine the above
numerical results analytically. When 1<alpha<2 and x_max = -x_min = a, the
transformed spectrum is shown to be characterized by a certain corner frequency
f_c which divides the spectrum into two parts with different exponents. We
derive f_c depending on a as f_c sim a^(-2/(alpha-1)). It turns out that the
output signal should deviate from the power law spectrum when the truncation is
asymmetrical. We present a numerical example such that 1/f^2 noise converges to
1/f noise by applying the transformation y(t)=sgn[x(t)] repeatedly.

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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph