Question

An analog signal enters a PCM (Pulse Code Modulation) system with eight quantization levels as shown in the below figure, where the lowest amplitude level is level 0 and the highest amplitude level is level 7. Amplitude +3 ? +2 ? +1 ? 0 -1 ? -2 ? -3 ? 0 1 2 3 4 t (sec) a) [2 points] Assuming the spacing of two consecutive levels \(\Delta = 5V\), write down the amplitude value at each quantization level. b) [3 points] Write down the PCM output (bit sequence) of the presented signal in the above figure. Sampling times are at \(T_s = 0, 1, 2, 3,\) and 4 [sec]. The quantization code is shown in below table. quantization level 0 1 2 3 4 5 6 7 code 000 001 010 011 100 101 110 111 Note: Write down detailed steps which lead to the final answer to get the full mark.

          An analog signal enters a PCM (Pulse Code Modulation) system with eight quantization levels as shown in the below figure, where the lowest amplitude level is level 0 and the highest amplitude level is level 7.
Amplitude
+3 ?
+2 ?
+1 ?
0
-1 ?
-2 ?
-3 ?
0
1
2
3
4
t (sec)
a) [2 points] Assuming the spacing of two consecutive levels \(\Delta = 5V\), write down the amplitude value at each quantization level.
b) [3 points] Write down the PCM output (bit sequence) of the presented signal in the above figure. Sampling times are at \(T_s = 0, 1, 2, 3,\) and 4 [sec]. The quantization code is shown in below table.
quantization
level
0
1
2
3
4
5
6
7
code
000
001
010
011
100
101
110
111
Note: Write down detailed steps which lead to the final answer to get the full mark.

An analog signal enters a PCM (Pulse Code Modulation) system with eight quantization levels as shown in the below figure, where the lowest amplitude level is level 0 and the highest amplitude level is level 7.
Amplitude
+3 ?
+2 ?
+1 ?
0
-1 ?
-2 ?
-3 ?
0
1
2
3
4
t (sec)
a) [2 points] Assuming the spacing of two consecutive levels Δ = 5V, write down the amplitude value at each quantization level.
b) [3 points] Write down the PCM output (bit sequence) of the presented signal in the above figure. Sampling times are at Ts = 0, 1, 2, 3, and 4 [sec]. The quantization code is shown in below table.
quantization
level
0
1
2
3
4
5
6
7
code
000
001
010
011
100
101
110
111
Note: Write down detailed steps which lead to the final answer to get the full mark.

Added by Brandy M.

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