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Guided media comparison and hybrid operation

Short answer

Twisted pair is cheap with low bandwidth and high attenuation; coaxial has medium bandwidth and good shielding; optical fibre has very high bandwidth, low loss, and EMI immunity. The hybrid transformer separates two-wire and four-wire directions; received power splits equally between line and balance network, cancelling leakage to the transmit path when balanced.

Compare guided transmission media in telecommunication system. Explain operation of hybrid transformer.

Comparison of guided transmission media

PropertyTwisted pairCoaxial cableOptical fibre
SignalElectricalElectricalLight
BandwidthLow (kHz–100s MHz)Medium (up to ~1 GHz)Very high (THz)
AttenuationHigh (several dB/km at kHz–MHz)MediumVery low (~0.2 dB/km)
Repeater spacing~2–5 km~1–10 km50–100+ km
Noise/EMISusceptible; crosstalkGood shieldingImmune
SecurityEasy to tapModerateVery hard to tap
CostCheapestModerateCable cheap, terminal costly
Weight/sizeLightBulkyVery light, thin
UsesLocal loop, LANCATV, antenna feederBackbone, FTTH, undersea

Operation of hybrid transformer

                    4-wire receive (from far end)
                         │  (amplifier)
                         v
              ┌──────────────────────┐
  2-wire  ────┤ T1             T2    │
  line   ─────┤  (hybrid transformer)│
  (Z_L)       │   centre-tapped      │
              │   windings           │
  Balance ────┤                      ├───> 4-wire transmit
  network Z_B └──────────────────────┘     (to far end)

Operation of the hybrid (bridge principle):

  1. Receive → 2-wire: a signal arriving on the 4-wire receive pair is fed to the centre-tapped winding. It divides equally between the 2-wire line (ZLZ_L) and the balance network (ZBZ_B). Half the power reaches the line (3 dB loss).
  2. No leakage to transmit pair: the two halves flow in opposite senses through the windings coupled to the transmit pair, so their magnetic effects cancel when ZB=ZLZ_B = Z_L. Ideally no receive signal appears on the transmit side.
  3. 2-wire → transmit: speech from the 2-wire line divides between the transmit and receive ports; the transmit port gets half (3 dB loss), and the part going to the receive port is absorbed by the amplifier output and does no harm.
  4. Balance: in practice ZBZ_B only approximates ZLZ_L over the band, so a small signal leaks across. This is measured by the balance return loss
B=20log⁡10∣ZL+ZBZL−ZB∣ dBB = 20\log_{10}\left|\frac{Z_L + Z_B}{Z_L - Z_B}\right|\ \text{dB}

Poor balance causes echo, and if the loop gain round the four-wire circuit exceeds unity, singing (oscillation).

✓ Answer checked by Claude Opus 5.5 (high effort)

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