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Short note: GMSK modulation technique

Short answer

GMSK is constant-envelope MSK whose data passes through a Gaussian low-pass filter, smoothing phase and reducing side lobes. The BT product trades spectrum compactness against ISI; GSM uses BT=0.3, allowing efficient nonlinear amplifiers and coherent or non-coherent detection.

Write a short note on GMSK modulation technique.

Gaussian Minimum Shift Keying (GMSK) is a constant-envelope digital modulation obtained by passing NRZ data through a Gaussian low-pass filter before MSK (FM with modulation index h = 0.5).

data->[Gaussian LPF (BT)]->[FM/VCO, h = 0.5]-> GMSK
  • The filter smooths the phase path, so side lobes and adjacent-channel interference are much lower than MSK.
  • BT product (3 dB filter bandwidth × bit period) sets the trade-off: smaller BT gives a narrower spectrum but more ISI. GSM uses BT = 0.3.
  • Constant envelope allows efficient non-linear (class C) amplifiers.
  • Can be detected coherently (like MSK) or non-coherently with an FM discriminator; GSM uses an MLSE equalizer to handle the ISI.
  • Used in GSM (270.833 kbps in 200 kHz), DECT and, in GFSK form, Bluetooth.

✓ Answer checked by Claude Opus 5.5 (high effort)

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