Questions tagged [power-law]
The power-law tag has no usage guidance.
12
questions
1
vote
1answer
91 views
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 ...
4
votes
1answer
42 views
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 ...
6
votes
2answers
165 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 ...
0
votes
0answers
39 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 ...
0
votes
0answers
26 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
47 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
129 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
179 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
169 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/...
1
vote
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 ...
2
votes
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?
