ECE 300 Signals and Systems Laboratory Practical Winter 2006 2007 Name Station You must work by yourself You may use only your lab notebook and your laptop running MATLAB You may use any MATLAB code you have written for this course All answers should be expressed in the customary form including units Sloppy work will not be graded Include all of your work on this exam Problem 1 25 points You are to use the MATLAB program your wrote in Lab 4 or some variation if it for this problem Assume the periodic function x t is defined over one period as 2 0 t 1 x t 1 1 t 2 0 2 t 3 a Plot x t and its Fourier series representation using 9 terms Use your name for the Matlab generated title of the graph Attach the plot to this sheet b Design an analog Butterworth bandpass filter that removes all harmonics except the 1st harmonic Plot the output signal y t Use your name for the Matlab generated title of the graph Attach the plot to this sheet You may combine the plots for part a and part b onto one graph if you wish Problem 2 25 points Using appropriate equipment create a symmetric triangle wave with 0 2 V peakto peak amplitude 50 mV DC value and frequency 200 kHz a Draw the spectrum of the signal on the plot provided indicating component powers in appropriate units Indicate all important settings by name and value and include terms between 0 and 1100 kHz b Identify the magnitude in dBmV and frequency for the first three important spectral components in the chart below Signal Spectrum Reference Level Center Frequency Frequency Span Resolution BW Term 1 2 3 Amplitude dBmV Frequency Hz
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