All Questions
Tagged with signal-processing integration
6
questions
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Second-order variation of an integral
I was reading the paper SISAR Imaging for Space Debris based on Nanosatellites, in which the Fresnel-Kirchoff diffraction formula is applied for a scenario in which the receiver, transmitter and ...
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Physical validity of taking limits inside an integrand
Consider an integral expression for the spectrum, $$I(\omega)=\int_{-\infty}^{\infty}G(\omega,t)dt\tag{1}$$
with
$$G(\omega,t)=g(\omega,t)e^{t/\tau}.$$
Here $t$ is time, $\omega$ is frequency and $\...
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1
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Fractional Fourier Transform and Fresnel Propagation
I am currently trying to wrap my head around Fresnel propagation, and I understand it is mathematically linked to the Fractional Fourier Transform, but I'm having a hard time with the units and the ...
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Proving a theorem about the average value of a function over a specific region
Let's say transient phenomenon in a function. A transient phenomenon is defined as:
"A transient event is a short-lived burst of energy in a system caused by a sudden change of state."
So, ...
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Is there a Bayesian theory of deterministic signal? Prequel and motivation for my previous question
This is a prequel to my question:
What's the probability distribution of a deterministic signal or how to marginalize dynamical systems?
Clearly my question looks at the same time fairly ...
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What's the probability distribution of a deterministic signal or how to marginalize dynamical systems?
In many signal processing calculations, the (prior) probability distribution of the theoretical signal (not the signal + noise) is required.
In random signal theory, this distribution is typically a ...
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