Power spectral density of GMSK modulation using matrix methods

Author

Kuchi, Kiran ; Prabhu, Vasant K.

Author_Institution

Motorola Labs., Fort Worth, TX, USA

Volume

1

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

45

Abstract

Gaussian minimum shift keying (GMSK) modulation is widely used in cellular and PCS applications. The popular GSM system uses GMSK. One of the important considerations in the use of modulation is the average power spectral density (PSD) and especially the spectral density characteristics on the tails. No method, other than simulation, is currently available to determine the PSD of GMSK. In this paper we give closed form expressions for computing the power spectrum using vector-matrix techniques. The PSD is expressed in a compact Hermitian form suitable for numerical computation. The PSD can be calculated to any desired accuracy by using this method. Results are given for various Gaussian baseband filter bandwidth-time products and modulation pulse truncation lengths. The formulas given in this paper can be extended to arbitrary pulse shapes and arbitrary modulation indices

Keywords

cellular radio; matrix algebra; minimum shift keying; mobile radio; personal communication networks; GMSK modulation; GSM system; Gaussian baseband filter bandwidth-time products; Gaussian minimum shift keying; Hermitian form; PCS applications; PSD; arbitrary modulation indices; arbitrary pulse shapes; cellular radio; closed form expressions; matrix methods; numerical computation; power spectral density; pulse truncation lengths; vector-matrix techniques; Band pass filters; Bandwidth; Computational modeling; Land mobile radio; Low pass filters; Pulse amplifiers; Pulse modulation; Pulse shaping methods; Radio transmitters; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Military Communications Conference Proceedings, 1999. MILCOM 1999. IEEE

Conference_Location

Atlantic City, NJ

Print_ISBN

0-7803-5538-5

Type

conf

DOI

10.1109/MILCOM.1999.822640

Filename

822640