Category: astronomy
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Thinking in Frequencies
In my PhD research, I’m seeing that the frequency domain is extremely useful for bringing insight to chaotic time domain signals. The frequency domain is the realm of electrical signals and Fourier Analysis. While I took a course on Partial Differential Equations, it was by far the lowest mark of my mathematics courses. For years…
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Spatial Filtering
I’ve been looking recently at decompositions of matrices, specifically the eigendecomposition, and the singular value decomposition (SVD). Check out my last article to see more! Today we’re specifically going to look at an example of using the eigendecomposition to remove radio frequency interference from an astronomical observation! The eigendecomposition of a symmetric, non-negative definite square…
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What’s So Important About Covariance Matrices, Anyway?
I’ve often been interested in why covariance matrices are important to so many different fields of mathematics. I mean, I know they are important for knowing covariances between different features, but why are they useful beyond that? Specifically, if I’m looking at some time series data from different detectors, how can they help me find…