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Need for shift keying; ASK vs FSK vs PSK

Short answer

Shift keying transmits digital data over bandpass channels, enabling small antennas, multiplexing, and noise control. ASK varies amplitude (poor noise immunity), FSK varies frequency (constant envelope, better than ASK), PSK varies phase (constant envelope, best noise performance but requires coherent detection).

Why do we use shift keying technique in communication system? Distinguish between ASK, FSK and PSK.

Why shift keying is used

Shift keying (digital carrier modulation) means switching the amplitude, frequency or phase of a high-frequency sinusoidal carrier according to the binary data. It is used because:

  • Bandpass channels: radio, satellite, microwave and telephone channels pass only a band of frequencies around some centre frequency; baseband pulses (with energy near DC) cannot go through them directly.
  • Practical antenna size: antennas must be about λ/4\lambda/4 long; a high carrier frequency makes them small.
  • Multiplexing: different users can be given different carrier frequencies (FDM).
  • Noise and interference control: FSK and PSK keep a constant envelope and so resist amplitude noise, and the scheme can be chosen to trade bandwidth for power.
  • Long-distance transmission over wireless and existing analog lines (modems).

ASK vs FSK vs PSK

PointASKFSKPSK
Parameter changedAmplitudeFrequencyPhase
Signal for 1 / 0Acos⁡ωctA\cos\omega_ct / 0Acos⁡ω1tA\cos\omega_1t / Acos⁡ω2tA\cos\omega_2tAcos⁡ωctA\cos\omega_ct / −Acos⁡ωct-A\cos\omega_ct
EnvelopeVaries (on-off)ConstantConstant
Bandwidth (approx.)2Rb2R_b∣f1−f2∣+2Rb\lvert f_1-f_2\rvert+2R_b (largest)2Rb2R_b
Noise immunityPoorBetter than ASKBest
PeP_e (coherent)12erfcEb/2N0\tfrac12\text{erfc}\sqrt{E_b/2N_0}12erfcEb/2N0\tfrac12\text{erfc}\sqrt{E_b/2N_0}12erfcEb/N0\tfrac12\text{erfc}\sqrt{E_b/N_0}
DetectionEnvelope or coherentNon-coherent or coherentCoherent only (or DPSK)
ComplexitySimplestModerateMost complex (carrier recovery)
Signal space1-D, points 0 and 2Eb\sqrt{2E_b}2-D, orthogonal points1-D, antipodal ±Eb\pm\sqrt{E_b}
Typical useOptical fibre, low-rate linksLow-speed modems, pagingSatellite, Wi-Fi, high-speed modems
 data :   1      0      1
 ASK  : /\/\/\ ______ /\/\/\
 FSK  : /\/\/\ /\  /\ /\/\/\   (fewer cycles for 0)
 PSK  : /\/\/\ \/\/\/ /\/\/\   (phase flips)

(EbE_b is the average energy per bit; for ASK the "1" bit has energy 2Eb2E_b. On this basis coherent ASK has the same PeP_e as coherent FSK, but its decision threshold depends on the received amplitude, so it suffers more from amplitude noise and fading. If EbE_b is instead taken as the energy of the "1" bit, the ASK result is written 12erfcEb/4N0\tfrac12\text{erfc}\sqrt{E_b/4N_0}.)

✓ Answer checked by Claude Opus 5.5 (high effort)

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