SYSC 4405 Midterm: SYSC 4405 Test Fall 2007

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Sysc 4405: example test 120 minutes, november 2, 2007. Background: you"re building a portable music recorder and playback system. The system has recorded a sample sound, and you with to upsample this sound for playback. Input: the input x(t) signal plays for 1 second and is recorded at a microphone: x(t) = . 10 sin(600 t) + 5 sin(4100 t) mv if 0 s < t < 1 s. 0 mv if t 0 s if t 1 s (1: (5 points) without using any type of anti-aliasing lter, the signal is sampled at 1000. , giving the sampled sequence x[n] (here x[0] corresponds to x(0)). 10 x[ 5] = x[ 4] = x[ 3] = x[ 2] = x[ 1] = x[0] = 0 x[1] = 10 sin(cid:4)3. T(cid:5) + 5 sin(cid:4) 1 x[2] = 10 sin(cid:4)6. T(cid:5) + 5 sin(cid:4) 3 x[3] = 10 sin(cid:4)9.