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Questions tagged [power-law]

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36 views

Relating Fourier and power-law descriptions of noise

I'm trying to understand this PDF, which is in English but has Polish authors, so there may be translation issues confusing me. The subject is the frequencies of sentence lengths in novels. Eq. (1), ...
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1answer
50 views

My Power Law (Gamma) Transformation Code Doesn't Compatible With Gamma Value

I'm trying to apply Power Law (Gamma) Transformation. Formula is simple: s = c*rγ. (c=1 , r= intensity , s= outputintensity). Here is detailed information: https://theailearner.com/2019/01/26/power-...
2
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2answers
101 views

How exactly does one apply a Hanning Window for a spectral estimate?

PREAMBLE I am a graduate student researching evolutionary ecology. My supervisor and I have been trying to learn how to simulate colored noise, discretely, by the $\frac{1}{f^\alpha}$ power law for $\...
1
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2answers
162 views

Why is “$1/\mathrm{Hz}$” unchanged while converting$\mathrm{V}^2/\mathrm{Hz}$ to $\mathrm{dB}/\mathrm{Hz}$?

When computing power spectral density via Fourier transform and Parseval's theorem, one gets units of $V^2/Hz$ (e.g. Wiki). As a popular next step, the following unit conversion is widely used: $V^2/...
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0answers
38 views

Generating 3-dimension $1/f^\alpha$ noise

I'm stumped trying to find a way to generate a 3-dimensional $1/f^\alpha$ noise time series. Basically I want simulate a forcing that is $1/f^\alpha$ in the 2 space dimensions and $1/f^\beta$ in time, ...
2
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1answer
11k views

Conversion of transmitter power from Watts into dB

I've been practicing problems relating to the dB conversion and came across this interesting example problem. In the above example Tx power is defined in Watts and the conversion from the Watts to dB ...
2
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0answers
149 views

What is the image power law?

What exactly is the image power law mentioned at page 15 in here: Is it related to Gamma correction or the statistical power law Or anything to do with PSF of a camera?