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PHY408 Physics

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1. Plot for and sec on the same graph with domain and .2. The analytical formula for the Fourier transform of isCompute the discrete Fourier transform (DFT) for both sampled time series, and compare them to the analytical for both 's on the same graph.Hints:As numpy fft assumes signal starts from time 0, you can use the shift property of Fourier transform to first shift the to startfrom zero, and after fftshift(fft()) operations, multiply the spectrum by complex exponential sinusoid function.You need to sample the theoretical curve with w_axis = 2*pi*f_axis, or else rewrite it as if you'd rathersample it with f_axisAs a guide (so you can be confident of your fft utilization for the remainder of the lab), we expect that the amplitudes (use numpy.abs(...)) of the discrete FT and the continuous FT essentially match. The phase won’t necessarily match.3. Comment on the effect of filtering a general input time function by (i.e. convolution of with ), and explain thedifference in filtered output after applying Gaussian functions with or secs.4. Comment on how this is related to the time-frequency uncertainty principle (a signal cannot be infinitesimally sharp both in time andfrequency).

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Tellus molestie nunc non blandit massa enim nec dui. Tellus molestie nunc non blandit massa enim nec dui. Ac tortor vitae purus faucibus ornare suspendisse sed nisi. Pharetra et ultrices neque ornare aenean euismod. Pretium viverra suspendisse potenti nullam ac tortor vitae. Morbi quis commodo odio aenean sed. At consectetur lorem donec massa sapien faucibus et. Nisi quis eleifend quam adipiscing vitae proin sagittis nisl rhoncus. Duis at tellus at urna condimentum mattis pellentesque. Vivamus at augue eget arcu dictum varius duis at. Justo donec enim diam vulputate ut. Blandit libero volutpat sed cras ornare arcu. Ac felis donec et odio pellentesque diam volutpat commodo. Convallis a cras semper auctor neque. Tempus iaculis urna id volutpat lacus. Tortor consequat id porta nibh.

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CTEC5726-Modern Programming Techniques

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ENGG1003 matlab assignment

You have been provided with seven images namedIMG5698.JPGtoIMG5704.JPG. Theseimages were taken in low light conditions with a very high ISO setting which results in “noise” onthe image (random fluctuations in pixel intensity) and “bright pixels” (pixels which appear brightin ...

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CTEC5726-Modern Programming Techniques

Faculty of Technology – Course work Specification Module name: Modern Programming Techniques Module code: CTEC 5726 Title of the Assignment: Tautology Checker This coursework item is: (delete as appropriate) Summative This summative coursework will be ...

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Developandwrite complete full Python programs for each part, to perform the following tasks.(a)Write a Python programs to perform the following tasks.Prompt a user forthe following pieces of information: othe initial value of an investment, investAmtothe expected growthrate of investment, iandoth ...

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