ECE 101 lab_solution6 - ECE 101 Linear Systems Fundamentals...

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ECE 101 – Linear Systems Fundamentals, Winter 2008 Lab #6 Solutions March 11, 2008 (send questions/comments to [email protected]) I. Introduction In this lab assignment, we will again use the DTFT to help us filter a jammed audio signal (whose spectrum is shown below) by a “leading authority” in nuclear energy. The DTFT will be used to determine which musical tones are jamming the audio signal, and then those tones will be removed from the audio signal so that we can recover the expert’s statement. 0 1 2 3 4 5 6 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 Amplitude of DTFT of Signal Before Filtering Frequency w Amplitude II. Results (a) Using the output of fft() command, as well as the find() function, the indices of the “jamming” tones in the vector output of the fft() were determined to be the following: k = 1780 2242 2666 34814 35238 357000 Since the jamming signals are real, only the first three are significant to determine the frequencies of the musical notes. Using the mapping function provided in the notes and plugging
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