Don’t need to do #1. Please go into detail on how you solved #2 and #3 20) X(ju) 0.8 0.6 0.4 0.2

/in /by

Don't need to do #1. Please go into detail on how you solved #2 and #3

20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20″ src=”//img.homeworklib.com/images/e76a6bf3-e6e9-492d-9928-530da67355a2.png” aria-describedby=”cdv”> The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency is ws that can be used to avoid aliasing? 14π. Sketch the Fourier transform X(ei ) of x[n] 3. (10p) Find an expression for [n] with ws 14T from question 2 Solution 1. The minimum sannpling frequency is u,-2 . 12π-24T. a) 2 The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency is ws that can be used to avoid aliasing? 14π. Sketch the Fourier transform X(ei ) of x[n] 3. (10p) Find an expression for [n] with ws 14T from question 2 Solution 1. The minimum sannpling frequency is u,-2 . 12π-24T. a) 2