Question F2.4: The signal in Figure F2.6 is sampled every millisecond with ...
The signal in Figure F2.6 is sampled every millisecond with 16 sampling quantization levels.
(a) Construct the PAM signal out of this analogue signal.
(b) Express the signal as a binary code.
(c) Convert the signal into a digital signal.
(a) The PAM signal is shown in Figure F2.7.
(b) The signal has values at the sampling times as shown in the second column of Table F2.1. These values are converted into four-bit binary code in the third column. We use four-bit words since there are 16 quantization levels.
| Table F2.1 The analogue signal has been discretized by the PAM process and converted into a digital four-bit binary code. | ||
| Time/ms | Signal/V | Binary code |
| 0 | 10 | 1010 |
| 1 | 6 | 0110 |
| 2 | 4 | 0100 |
| 3 | 8 | 1000 |
| 4 | 9 | 0100 |
| 5 | 12 | 1100 |
| 6 | 14 | 0110 |
| 7 | 2 | 0010 |
(c) The binary code must now be converted into a digital signal. The codes 1010,0110 and 0100 are represented by:
Working similarly with the rest of the binary codes, we obtain the digital signal shown in Figure F2.8.
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