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Unformatted text preview: Final exam answers 1 Matching time and frequency representations
a.
1
A 5 0
C 0
D 10
BC 0
D B b.
5
A
c.
0
A 0
B 5
C 0
D 2 Discretetime periodicity
Answer is 15. 3 Find the output signal
2 1 2 1 0 1 2 3 4 5 6 Final exam answers / 6.003: Signals and Systems (Fall 2007) 4 Frequency response
a.
2
1 0
2 0
3 2
4 2
2 0
3 3
4 0
5 0
6 0
7 5 3
9 3
10 02
89 0
10 8 b.
0
1 5
5 3
6 3
7 5 Mystery cosine
Answer is π/3, 2π + π/3, 2π − π/3. 6 Discretetime poles and zeros
a.
0
0 5
1 2
2 0
3 0
≥3 0
2 0
3 0
≥3 b.
1
0 5
1 7 Taking medicine
a. Answer is 1/ ln 1.5 ≈ 2.5.
b. Answer is 8 hours/ ln 1.5 ≈ 20 hours.
c. Answer is 1/3. 8 Maximizing output samples
Answer is 10223 . 2 Final exam answers / 6.003: Signals and Systems (Fall 2007) 9 Musical timbre
a.
0
A 5
B 1
C b.
0
A 1
B 5
C 10 Lightbulb ﬂicker
a. Answer is 0.088 . . ..
b. Answer is 4. 11 Half the unit step
a. Answer is 1.
b. Answer is 0.5. 3 MIT OpenCourseWare
http://ocw.mit.edu 6.003 Signals and Systems
Spring 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . ...
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This note was uploaded on 12/14/2011 for the course EE 6.003 taught by Professor Freeman during the Spring '11 term at MIT.
 Spring '11
 Freeman
 Frequency

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