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Gaussian Minimum Shift Keying (GMSK)

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FundamentalsFundamentals
Title Gaussian Minimum Shift Keying (GMSK)
Author(s) J.A Ávila Rodríguez, University FAF Munich, Germany.
Level Advanced
Year of Publication 2011


The Gaussian Minimum Shift Keying (GMSK) modulation is a modified version of the Minimum Shift Keying (MSK) modulation where the phase is further filtered through a Gaussian filter to smooth the transitions from one point to the next in the constellation. Next figure presents the GMSK generation scheme:

Figure 1: GMSK generation scheme.


where the Gaussian filter adopts the following form in the time domain:

GMSK Eq 1.png


Where [math]\displaystyle{ \lambda }[/math] is a normalization constant to maintain the power and the product [math]\displaystyle{ B T_c }[/math] is the -3 dB bandwidth-symbol time product. The higher this value, the cleaner will be the eye diagram of the signal but more power will be transmitted on the side lobes of the spectrum. A typical value in communication applications is [math]\displaystyle{ B T_c = 0.3 }[/math] which is a good compromise between spectral efficiency and Inter-Symbol interference

References