Erik
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 Aug 11 accepted Principal component analysis (PCA) results in sinusoids, what is the underlying cause? Aug 10 comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause? The flows are all from independent sources, but the sources apparently share some similar underlying behaviour, else I wouldn't get my somewhat sinusoidal results. I wonder how I can further find out what the underlying mechanics are. Aug 10 comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause? Actually, my PC ran out of memory with N=1000000, but removing a zero solved the problem. ;) Aug 10 comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause? What do you mean by ‘the eigenvectors of such an operator’ (a convolution process). In your example, do you mean the eigenvectors of your Toeplitz matrix ma, because the ones(1,5) is a moving average of five samples (the LTI operation)? I'll try to plot the eigenvectors of ma to see what they look like. Aug 10 revised Principal component analysis (PCA) results in sinusoids, what is the underlying cause? added tag Aug 10 revised Principal component analysis (PCA) results in sinusoids, what is the underlying cause? M<=>N Aug 10 comment Principal component analysis (PCA) results in sinusoids, what is the underlying cause? @Chester - I've added some images. Thanks for trying to reproduce my results without any example. Your Gaussians aren't working, because they don't start to rise significantly after the first sample. I guess my description of the shape with the word Gaussian wasn't perfect, but the fact remains that many curves do resemble a Gaussian curve, albeit they start and end with zero mL/s (which a Gaussian never reaches). Aug 10 revised Principal component analysis (PCA) results in sinusoids, what is the underlying cause? added example images and results Aug 10 asked Principal component analysis (PCA) results in sinusoids, what is the underlying cause? Jul 30 awarded Autobiographer Jul 30 comment Can you add a scalar to a matrix? It might not be geometrically meaningful, but then again not every matrix is used in geometry. Jul 30 asked Can you add a scalar to a matrix? Jun 18 revised How do you pronounce $\Sigma^+$ or $\Sigma^\dagger$ (as used in Moore–Penrose pseudoinverse)? added 239 characters in body Jun 18 asked How do you pronounce $\Sigma^+$ or $\Sigma^\dagger$ (as used in Moore–Penrose pseudoinverse)? Apr 3 awarded Yearling Mar 24 awarded Informed Mar 23 awarded Commentator Mar 23 awarded Scholar Mar 23 comment Find a function with certain requirements Thank you for your elaborate answer! Mar 23 comment Find a function with certain requirements Thank you very much. I like your approach best, although it is quite limited to $g(x) = ax+b$, but nonetheless practical.