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Gaussian Minimum Shift Keying (GMSK): Difference between revisions
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where the Gaussian filter adopts the following form in the time domain: | where the Gaussian filter adopts the following form in the time domain: | ||
::[[File:GMSK_Eq_1.png|none| | ::[[File:GMSK_Eq_1.png|none|360px]] | ||
Where <math>\ | Where <math>\lambda</math> is a normalization constant to maintain the power and the product <math>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>B T_c = 0.3</math> which is a good compromise between spectral efficiency and Inter-Symbol interference | ||
==References== | ==References== | ||
Revision as of 13:40, 31 October 2011
| Fundamentals | |
|---|---|
| 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:
where the Gaussian filter adopts the following form in the time domain:
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