Introduction to Signal Processing: Frequency Filters (Lecture 16)

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This lecture is part of a a series on signal processing. It is intended as a first course on the subject with data and code worked in both matlab and python. The lectures are from the textbook Oppenheim, Willsky and Nawab, "Systems and Signals".
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Thanks Prof Kutz; I have really enjoyed your lecture series. A quick terminology comment: A "notch" filter is not a sharp-cutoff filter, but a band-stop filter, which may in fact be smooth.

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in the coffee cup picture example, having the fft plot next to the picture may be doing a disservice to the explanation, or even using the red/yellow color to plot the points as there is no spatial (x, y) correspondance between the two two diagrams, the jpeg is really a linear array of values which after fft can be represented by the x, y log plot of the fft.

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