![]() ![]() I thought about drawing some new frequency-domain diagrams showing overlapping triangles like you'd see in Oppenheim and Schafer, but then I thought it might be better to just continue the sampled cosine example from last time. Significance of "twice the highest frequency"? There are two key pieces of the question to address: What is the nature of the "problem," and what is the I know I promised to introduce the discrete Fourier transform next, but I'd like to change my mind and try to answer Dave's ![]() The sampling rate of your discrete signal is not at least twice the highest existing frequency [in the continuous-time ![]() wanted to know how this related to what he learned about aliasing: that aliasing is a "problem that occurs when I said that if you sample a continuous-time cosine at a sampling frequency, then you can't distinguish between a cosine with frequency and a cosine with frequency. It isn't always obvious how the different explanations for the same concepts are connected.įor example, in my last Fourier transform post I talked about aliasing. One challenge of teaching Fourier transform concepts is that each concept can be (and is) interpreted and explained in manyĭifferent ways. ![]()
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