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• W3099241061 abstract "We study the power spectrum which is estimated from a nonstationary signal. In particular we examine the case when the signal is observed in a measurement time window $[t_w,t_w+t_m]$, namely the observation started after a waiting time $t_w$, and $t_m$ is the measurement duration. We introduce a generalized aging Wiener-Khinchin theorem which relates between the spectrum and the time- and ensemble-averaged correlation function for arbitrary $t_m$ and $t_w$. Furthermore we provide a general relation between the non-analytical behavior of the scale-invariant correlation function and the aging $1/f^{beta}$ noise. We illustrate our general results with two-state renewal models with sojourn times' distributions having a broad tail." @default.
• W3099241061 created "2020-11-23" @default.
• W3099241061 creator A5072594773 @default.
• W3099241061 creator A5075146702 @default.
• W3099241061 date "2017-11-01" @default.
• W3099241061 modified "2023-09-27" @default.
• W3099241061 title "1∕ f β noise for scale-invariant processes: how long you wait matters" @default.
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• W3099241061 doi "https://doi.org/10.1140/epjb/e2017-80398-6" @default.
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