Know that a sound can be transmitted as a digital or analogue signal

Published by Patrick Mutisya · 14 days ago

3.3 Electromagnetic Spectrum

Objective

Know that a sound can be transmitted as a digital or analogue signal.

Key Concepts

  • The electromagnetic (EM) spectrum covers all types of electromagnetic radiation, from radio waves to gamma rays.
  • Sound itself is a mechanical wave, but it can be carried over the EM spectrum by converting it into an electrical signal.
  • Two main methods of transmitting sound: analogue and digital.

Analogue Transmission of Sound

In analogue transmission the electrical signal varies continuously in amplitude (and sometimes frequency) in direct proportion to the pressure variations of the original sound wave.

  • Typical analogue carrier: AM (Amplitude Modulation) or FM (Frequency Modulation) radio.
  • The waveform of the transmitted signal is a smooth curve that mirrors the original sound pressure waveform.
  • Advantages: simple equipment, real‑time transmission.
  • Disadvantages: susceptible to noise and distortion; quality degrades with distance.

Digital Transmission of Sound

Digital transmission converts the continuous sound waveform into a series of discrete numbers (binary data) that can be sent over digital communication channels.

  • Process involves sampling, quantisation, and encoding.
  • Common digital carriers: CD audio, MP3 files, digital radio, Bluetooth audio, internet streaming.
  • Advantages: high resistance to noise, easy to store and manipulate, can be compressed.
  • Disadvantages: requires conversion equipment, introduces a small delay (latency).

Comparison of Analogue and Digital Signals

AspectAnalogueDigital
Signal FormContinuous waveformDiscrete binary numbers
Transmission MediumRadio waves, telephone lines (analogue modulation)Radio waves, optical fibre, Ethernet (digital modulation)
Noise SensitivityHigh – noise adds directly to the signalLow – noise can be filtered out by error‑checking
Bandwidth RequirementUsually lower (depends on carrier)Higher – depends on sampling rate and bit depth
Quality Over DistanceDegrades graduallyRemains constant (until data loss)
Typical UsesFM/AM radio, analogue telephoneCDs, MP3, digital TV, internet audio

Sampling and Quantisation

To digitise a sound, the continuous waveform is sampled at regular intervals and each sample is assigned a numeric value (quantisation).

The minimum sampling rate required to reproduce a signal without aliasing is given by the Nyquist theorem:

\$fs \ge 2 f{\text{max}}\$

where \$fs\$ is the sampling frequency and \$f{\text{max}}\$ is the highest frequency component in the original sound.

Quantisation assigns each sample a value from a finite set of levels. The number of bits per sample determines the resolution:

  • 8‑bit audio → \$2^8 = 256\$ levels
  • 16‑bit audio (CD quality) → \$2^{16} = 65\,536\$ levels

Practical Applications

  • Radio broadcasting – analogue (AM/FM) vs digital (DAB).
  • Telecommunications – analogue telephone networks vs digital mobile networks (e.g., 4G, 5G).
  • Audio storage – vinyl records (analogue) vs CDs/MP3s (digital).
  • Streaming services – rely entirely on digital encoding and transmission.

Suggested diagram: Flowchart showing the conversion of a sound wave into an analogue signal (modulation) and into a digital signal (sampling → quantisation → encoding).