Questions tagged [power-law]
The power-law tag has no usage guidance.
10
questions
5
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2answers
118 views
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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0answers
34 views
Allan variance vs power spectrum density for noise estimation
I know than we can estimate noise level (and noise colors) from power spectrum density function OR from Allan variance. Why do we need Allan variance at all for such estimation?
In my opinion PSD ...
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0answers
23 views
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 ...
2
votes
0answers
46 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), ...
0
votes
1answer
99 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
votes
2answers
144 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
vote
2answers
167 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
votes
1answer
13k 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 ...
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0answers
156 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?
