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(a) Find the spectrum of this waveform: x = [ exp( -[0:1:49]/10), exp(-[50:-1:1]/10)]. Subplot only the magnitude by using the spectrum program from the class notes.
(b) Using this information from the 100-point DFT, re-create the waveform by summing the sinusoidal contributions from all the DFT coefficients as done in lecture. Show both the waveform x and its re-creation xhat on another subplot. (The waveforms might merge into one figure so the mean square error is effectively zero in this case.)
(d) Using MATLAB, find the index n0 at which the spectral magnitude falls below 0.05 of its maximum (which is a point beyond which there is little energy left in the higher frequencies.)
(e) Using only the first n0 DFT coefficients, generate the waveform and plot in Matlab by using the symmetry properties of the transform. Plot xhat over the actual signal and annotate the plot to indicate the value of the calculated mse. Title and label the axes. Submit plot and code.
Diary Files: Before doing this assignment, please read the document Notes on Matlab Assignments (available from the course web page). It describes how to record the results of your
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Calling a Function: Here is an illustration of the call to this function in which value returned is stored in the default variable ans: >> calcarea(4) ans = 50.2655
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A. Introduction The project consists of two parts. In the first part you are asked to perform some preliminary calculation and plotting, and to write the introduction for your
Function Name: voteCounter Inputs (1): - (char) filename of votes Outputs (0): - none Function Description: You use the brand new VoteMaster 3000 to tally up votes in the r
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