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====== Power spectrum ====== | ====== Power spectrum ====== | ||
+ | Power spectrum is a powerful tool for analyzing structures in the universe from the very smallest to the very largest. It is nothing but the square of the amplitude of the [[Fourier transform]] of a dataset, mathematically | ||
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+ | $$ P(k) = |F(k)|^2 $$ | ||
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+ | where $F(k)$ is the Fourier transform of a function $f(\theta)$ and $k\sim \theta^{-1}$ is the Fourier scale or frequency corresponding to the variable $\theta$. A power spectrum gives the power $P(k)$ at different scales $k$. | ||
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+ | ====== Surface ====== | ||
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+ | ====== Cube ====== | ||
un/power-spectrum.1683282900.txt.gz · Last modified: 2023/05/05 04:35 by asad