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# examsoln2 - EECS 216 EXAM#2 Winter 2008 x(t cos(3t)dt= 1...

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EECS 216 EXAM #2 Winter 2008 1. Fourier series of x(t) is cos( t )+ 1 2 cos(2 t )+ 1 3 cos(3 t )+ . . . Then integraltext π - π x ( t ) cos(3 t ) dt =: (a) 0 (b) 1 3 (c) π 6 (d) π 3 (e) 2 π 3 2. Impulse response of an LTI system with frequency response 2 ( ) 2 +4( )+4 is: (a) Noncausal (b) 2 e - 2 t cos(2 t ) u ( t ) (c) e - 2 t sin( t ) u ( t ) (d) te - 2 t u ( t ) (e) 2 te - 2 t u ( t ) 3. An LTI system has impulse response h(t)= sin(20 πt ) 4 t cos(30 πt ). It rejects above: (a) 10 (b) 20 (c) 25 (d) 50 (e) Hertz. 4. Why would anyone use DSBSC modulation instead of AM radio? (a) Less bandwidth (b) Less power (c) Less noise (d) Simpler receiver (e) Simpler xmitter 5. The minimum sampling rate in RADIAN SECOND to reconstruct [sin(40 t ) sin(60 t )] / [ π 2 t 2 ] from its samples is barely greater than: (a) 80 (b) 120 (c) 160 (d) 200 (e) 240 6. sin(32 πt ) + sin(48 πt ) is sampled at 40 SAMPLE SECOND , then lowpass-filtered to 20 Hz. Get: (a) 0 (b) sin(16 πt ) (c) 2 sin(16 πt ) (d) sin(32 πt ) (e) 2 sin(32 πt ) 7. Line spectrum (3-4j) δ ( ω + 2)+(1+j) δ ( ω + 1)+(1-j) δ ( ω - 1)+(3+4j) δ ( ω - 2) (i) Average power of the signal is: (ii) The sinusoidal component at ω = 1 is: 8. A real-valued signal is modulated using single-sideband (SSB) resulting in following

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