Higher Institute for Applied Science and Technology
Telecommunication department
Fifth year
2015-2016
Gaussian Minimum Shift Keying
(GMSK)
Raafat Ali Raafat Ali & Dr. Nizar Zarka
Supervisor: Dr. Nizar Zarka
Jan 2016
Raafat Ali & Dr. Nizar
Zarka
Outlines:
• Introduction to GMSK.
• Generation of GMSK & its Waveform.
• GMSK Demodulator
• Power spectrum of GMSK
• Advantages.
• Disadvantages.
• Applications.
Raafat Ali & Dr. Nizar
Zarka
Introduction To GMSK (1)
Gaussian Minimum Shift Keying (GMSK) is a
form of continuous-phase FSK (CPFSK)
That Mean: the phase is changed between symbols
to provide a constant envelope.
So: GMSK allows efficient class C non-linear
amplifiers to be used.
The RF bandwidth is controlled by the Gaussian
low-pass filter.
Raafat Ali & Dr. Nizar
Zarka
Introduction To GMSK (2)
The degree of filtering:
It is expressed by multiplying the filter 3dB
bandwidth (B) by the bit period of the
transmission(T).
BT = 0.3 for GSM networks.
Data rate: 270.8 kbps.
Raafat Ali & Dr. Nizar
Zarka
GENERATING A GMSK WAVEFORM(1)
• GMSK as implemented by quadrature signal processing
at baseband followed by a quadrature modulator
1-2
Time
2T T 0 T 2T
Raafat Ali & Dr. Nizar
Zarka
GENERATING A GMSK WAVEFORM(2)
Modulation
Raafat Ali & Dr. Nizar
Zarka
Generation of GMSK & its Waveform(3)
Pulse Shaping
• Input: Binary pulse train (+1/-1)
• Each binary pulse goes through a LPF with a Gaussian
impulse response
• This process results in a train of Gaussian shaped pulses
Raafat Ali & Dr. Nizar
Zarka
Generation of GMSK & its Waveform(4)
Summing and Integration
• The pulses are summed together (left)
• The signal is integrated over time to obtain a
continuous waveform which captures the bit
transition information (right)
Raafat Ali & Dr. Nizar
Zarka
Generation of GMSK & its Waveform(5)
I&Q Signals
• The resulting waveform is divided into In-Phase
and Quadrature components
▫ In-phase: Left
▫ Quadrature: Right
• The two signal components are then up-converted
to the carrier frequency
Raafat Ali & Dr. Nizar
Zarka
GMSK Demodulator
Raafat Ali & Dr. Nizar
Zarka
Power Spectrum Of GMSK(1)
• GFilter Is a Partial Response So it increases ISI.
Raafat Ali & Dr. Nizar
Zarka
Power Spectrum Of GMSK(1)
GMSK Spectra
• Improved spectral efficiency
• Requires more power to transmit data than
many comparable modulation schemes
Raafat Ali & Dr. Nizar
Zarka
GMSK Bit Error Rate
• Bit error probability for GMSK is:
Notice that: BER Is a Function of BT.
Raafat Ali & Dr. Nizar
Zarka
Advantages
• High spectral efficiency.
• Reducing sideband power.
• Excellent power efficiency due to constant
envelope.
• reducing the interference between signal carriers
in adjacent frequency channels.
• Self synchronizing capability
• Good choice for voice modulation.
Raafat Ali & Dr. Nizar
Zarka
Disadvantages
• causes (inter symbol interference[ISI])
• Higher power level than QPSK.
• Requiring more complex channel equalization
algorithms such as an adaptive equalizer.
Raafat Ali & Dr. Nizar
Zarka
Applications
• Most widely used in the Global System for
Mobile Communications (GSM).
• Used for CDPD (cellular digital packet data)
overlay network.
• Used for GPRS & EDGE systems.
Raafat Ali & Dr. Nizar
Zarka
THANK YOU