All Questions
Tagged with signal-processing mathematics
5
questions
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Kramers-Kronig relations for a Gaussian function
Consider a function of a complex variable $\omega$ which is given by $f(\omega) = e^{-\omega^2/2}$.
This function is symmetric, holomorphic everywhere, and vanishes as $|\omega| \rightarrow \infty$. ...
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1
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1
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Evaluate action of $f(\frac{d}{dx})$ using the Fourier/Laplace transform
Initially I asked this question on mathoverflow. I however thought physicists may face this sort of problem more than mathematicians (I am an engineer). Due to that, I decided to ask here as well.
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Sensor Array Position Calibration in Anisotropic Media
Problem.
I have a sensor array consisting of $n \gg 4$ receivers at unknown locations $\langle x_n, y_n, z_n\rangle$ embedded in an anisotropic medium whose index of refraction varies as a known ...
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1
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Computing correlation between two time series: confusion regarding nonlinear relationship and nonlinear data
I am trying to understand if correlation can be computed between two time series generated from two different initial conditions for chaotic dynamical systems. In general, correlation is applicable ...
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3
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Use of negative frequency for the sake of simplifying mathematics?
How can we use the idea of negative frequency for the sake of simplifying mathematics if negative frequency does not exist (to my knowledge) in nature ? For example, when plotting the spectra of a ...
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