Questions tagged [power-law]
The power-law tag has no usage guidance.
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How to generate a power-law / pink noise signal?
Suppose I need to generate a time series where the intervals will be about 120 seconds every time, but with a small variation (e.g. 125, 130, 119, 118, 121, 129, etc)
I want this variation not to be ...
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Does a power spectral density that follow a power law imply that the time hisory follows a power law?
This is a question related to this previous question "I cannot find reference (paper) of this relation $u(t)t^{α} ↔^{FT} f^{-(α+1)}$".
The signal that I work with g(t), is the time history ...
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I cannot find reference (paper) of this relation $u(t)t^{α} ↔^{FT} f^{-(α+1)}$
I am struggling a lot in finding the reference (book or, even better, academic paper) that states that:
$u(t)$ $t^{α} ↔^{FT} f^{-(α+1)}$
as I found here An Interesting Fourier Transform - 1/f ...
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how to convert decay time to power law coefficiants
In audio, I am familiar with the definition of t-60, which is a characterization of a room impulse response (RIR) decay time. This characterization demands that the sound will have a 60 db decay over ...
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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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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-...
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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 $\...
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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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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, ...
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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 ...
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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?
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