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Gaussian Minimum Shift Keying (GMSK): Difference between revisions
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{{Article Infobox2 | {{Article Infobox2 | ||
|Category=Fundamentals | |Category=Fundamentals | ||
|Authors=J.A Ávila Rodríguez, University FAF Munich, Germany. | |||
|Authors= J.A Ávila Rodríguez, University FAF Munich, Germany. | |||
|Level=Advanced | |Level=Advanced | ||
|YearOfPublication=2011 | |YearOfPublication=2011 | ||
|Title={{PAGENAME}} | |||
}} | }} | ||
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: | 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: | ||
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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== | ||
<references/> | <references/> | ||
== Credits == | |||
The information presented in this NAVIPEDIA’s article is an extract of the PhD work performed by Dr. Jose Ángel Ávila Rodríguez in the FAF University of Munich as part of his Doctoral Thesis “On Generalized Signal Waveforms for Satellite Navigation” presented in June 2008, Munich (Germany) | |||
[[Category:Fundamentals]] | [[Category:Fundamentals]] | ||
[[Category:GNSS Signals]] | [[Category:GNSS Signals]] | ||
Latest revision as of 09:11, 25 November 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
References
Credits
The information presented in this NAVIPEDIA’s article is an extract of the PhD work performed by Dr. Jose Ángel Ávila Rodríguez in the FAF University of Munich as part of his Doctoral Thesis “On Generalized Signal Waveforms for Satellite Navigation” presented in June 2008, Munich (Germany)