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Physics, 21.06.2019 22:30
Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4Γ’Β·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2Δβ¬. we are used to viewing graphs from-Δβ¬ to Δβ¬. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue
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Physics, 22.06.2019 15:10
Suppose that f : rn β rm and that a β k, where k is a connected subset of rn . suppose further that for each x β k there exists a Ξ΄x > 0 such that f(x) = f(y) for all y β bΞ΄x (x). prove that f is constant on k; that is, f(x) = f(a) for all x β k
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Physics, 22.06.2019 17:20
Scientific models are based on current knowledge, which can limit their effectiveness when new discoveries are made.
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