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UoL CS Notes

Physical Layer - Data Signals

COMP211 Lectures

Sine Waves

Sine waves can be made using the following function:

\[s(t)=A\sin(2\pi ft+\phi)\]

Where:

  • $A$ - Amplitude
  • $f$ - Frequency
  • $t$ - Time
  • $\phi$ - Phase
  • $T$ - Period ($\frac1f$)

Any signal can be made of many sine components.

Frequency Domain Representation

  • You can plot the frequencies of a periodic signal on a bar graph to represent the signal. (Discrete)
  • Aperiodic signals have continuous frequency domain representations.

If a signal has a spectrum with a zero frequency component (direct current), this is used as a voltage offset.

Bandwidth

The bandwidth of a signal is the upper and lower limit of the frequencies that can be represented in the medium.

A higher bandwidth gives more definition to analogue signals.

Advantages of Digital

  • Digital is lower cost.
  • Data integrity is preserved over longer distances with digital data.
    • Repeaters can amplify the data without including line noise.
  • High degree of multiplexing is easier with digital techniques.
    • Increases utilisation.
  • Data is easier to encrypt.