ECE402 Continues-Time and Discrete-Time Signal
Sampling of Analog Signals
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Intended Learning Outcomes
Analyze the process of converting analog signals to digital signals.
Define sampling, quantization and coding. Solve related problems about ADC.
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Discrete - Time Sinusoidal Signal
1 = cos
6
Example:
Solution
= /6
0 =
2=
/6
2=
1
12 0 =
0
Therefore
0 = 12 = 1
Determine the fundamental period of the signal.
The fundamental period is 12 which corresponds to k=1 envelop cycle.
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Discrete - Time Sinusoidal Signal
1 = cos
6 Example: (cont.)
0 = 12 = 1
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Discrete - Time Sinusoidal Signal
1 = cos 8
31
Example:
Solution
= 8/31
0 =
2=
8/31
2=
4
31 0 =
0
Therefore
0 =31 = 4
Determine the fundamental period of the signal.
The fundamental period is 31 which corresponds to k=4 envelop cycle.
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Discrete - Time Sinusoidal Signal
1 = cos 8
31
Example: (cont.)
0 = 31 = 4
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Discrete - Time Sinusoidal Signal
Example: Determine whether or not each of the following signals is periodic. a. = cos 0.2
b. = cos20
140
c. = sin104
20
d. = cos
4
e. = cos 6
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Discrete - Time Sinusoidal Signal
Answer: a. 0 = 10, = 1, periodic b. 0 = 14, = 1, periodic c. 0 = 0.828, aperiodic d. 0 = 8, = 1,periodic e. 0 = 0.955, aperiodic
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