Published by Patrick Mutisya · 14 days ago
Explain the benefits of digital signalling, focusing on:
Digital signals represent information as discrete voltage levels (usually “0” and “1”). This contrasts with analogue signals, which vary continuously. The discrete nature of digital signals provides two key advantages.
The maximum data rate that can be transmitted over a channel of bandwidth \$B\$ (in Hz) is given by the Shannon‑Hartley theorem:
\$R{\max}=B\log2(1+S/N)\$
In practice, digital systems use multiple discrete levels (M‑ary signalling) to increase the amount of information per symbol:
\$R = \log2 M \times fs\$
where \$f_s\$ is the symbol rate (symbols per second). By increasing \$M\$ (e.g., using 4‑level, 8‑level, or higher modulation), more bits are transmitted per symbol without needing a wider bandwidth.
Digital signals can be regenerated accurately at repeaters or amplifiers because the receiver can decide unequivocally whether a pulse is a “0” or a “1”. This regeneration removes accumulated noise, allowing the signal to travel farther.
| Aspect | Analogue Signalling | Digital Signalling |
|---|---|---|
| Signal Representation | Continuous variations in amplitude/frequency | Discrete voltage levels (binary) |
| Noise Sensitivity | Noise adds directly to the signal | Noise can be filtered; signal regenerated |
| Data Rate | Limited by bandwidth and noise | Can increase using higher‑order modulation (larger \$M\$) |
| Transmission Range | Degrades with distance; repeaters add noise | Longer range; repeaters regenerate without adding noise |
| Error Detection | Hard to implement | Built‑in error‑checking (parity, CRC) |