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raccourcis clavier

Framing

This synthesis compares the digital modulation techniques covered in the wireless communications source: FSK, MSK, and GMSK. These techniques differ in how they represent binary data on a carrier wave and in their spectral efficiency.

Comparison

PropertyFSK (Standard)MSKGMSK
PhaseDiscontinuous (reset at each bit)ContinuousContinuous
Frequency SeparationArbitrary (can be large)Minimum orthogonal (1/2T)Minimum (Gaussian filtered)
Spectral EfficiencyLow (frequency splatter)High (tight bandwidth)Highest (Gaussian filter tightens)
Phase ResetYes — at every bitNoNo
ComplexityLowMediumMedium
Used InSimple paging, remote controlsMilitary radioGSM (2G) cellular
Noise ResistanceModerateHighHigh

Key Insights

Why Phase Continuity Matters

Standard FSK resets the carrier wave at each bit boundary. If the previous bit ended at a negative phase, the new bit starts from zero phase, creating a sharp discontinuity. These discontinuities generate high-frequency components (“frequency splatter”) that waste bandwidth and interfere with adjacent channels. MSK and GMSK eliminate discontinuities entirely, producing tight, well-contained spectra.

The Minimum Shift Condition

MSK uses the minimum possible frequency separation for orthogonality: Δf = 1/(2T), where T is the bit duration. Two signals separated by exactly this amount have zero cross-correlation — the receiver can perfectly distinguish them. Any smaller separation would make the signals indistinguishable.

From MSK to GMSK

GMSK applies a Gaussian filter before MSK modulation, pre-shaping the frequency pulses. This further reduces spectral sidelobes, making the signal even more bandwidth-efficient. GSM chose GMSK because its constant envelope property allows efficient power amplification — the power amplifier can operate at maximum output without distorting the signal.

Real-World Progression

In practice, all modern digital systems have moved beyond standard FSK: FSK → CPFSK → MSK → GMSK → QPSK/OQPSK. Higher-order modulation schemes (16-QAM, 64-QAM, 256-QAM) are now used in LTE and 5G for even higher data rates.

Connections

  • FSK — standard FSK with phase reset
  • MSK — continuous-phase FSK
  • Modulation — foundational concept
  • Spread Spectrum — modulation technique that spreads signal across wide bandwidth