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Radio

This section describes how radio links works.

Link budget defines how far your signal can go taking into account powers, gains, and losses.

Here is the equation $$ P_{RX} = P_{TX} + G - L $$

Where:

  • \(P_{RX}\): Received Power
  • \(P_{TX}\): Transmitter Output Power
  • \(G\): Total Gains (Antennas, amplifiers)
  • \(L\): Total Losses (Cables, distance, obstacles)

For a transmission to be received, the \(P_{RX}\) must be greater than the receiver sensitivity.

Radio waves

Officially, radio wave are electromagnetic waves between 3 Hz and 3 GHz. Between 3 GHz and 300 GHz it's microwave. However, 5 GHz Wi-Fi is still considered as radio waves.

The energy of a photon in an electromagnetic wave is : $$ E = h \cdot f $$

Where:

  • \(E\): The energy of the photon in Joules (\(J\))
  • \(h\): The Planck constant in \(J\cdot s\)
  • \(f\): The frequency in Hz (\(s^{-1}\))

The frequency and the wave length are linked according to this equation: $$ c = \lambda \cdot f $$

Where:

  • \(c\): The celerity of the light (\(m \cdot s^{-1}\))
  • \(\lambda\): The wave length in meter (\(m\))
  • \(f\): The frequency in Hz (\(s^{-1}\))