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The signal f(t) = e - |t| has been sampled at fs = 1 Hz. Determine the optimal cutoff frequency, ωo, for a third-order Butterworth low-pass filter such that the filter's output f~(t) is "as close as possible" to f(t). Provide a plot comparing f(t) to f~(t). Formulate the problem as an optimization problem with a proper objective function, I(ωo), and find the solution by applying suitable numerical methods. You may use LSE minimization.
You may use Mathcad or Matlab.
You also need to make a movie like the one attached with your name on it.
You need to provide a detailed report of all the work you did.
Attachment:- Assignment.rar
Details of the project are in the pdf file attached. Also, you need to use either mathcad or matlab to create the movie attached. You need to produce a detailed report with calculations, mathcad work, and steps of how you arrived to the final answer. My name needs to show on the video that you will be creating. 10 pages double spaced, including calculations. you need to also provide the mathcad file(s) , or matlab file(s) and the video clip with my name (karam benjamin) showing on it.
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