Comments on "GMSK with differential phase detection in the satellite mobile channel

Author

Elnoubi, Said

Author_Institution

Mitre Corp., McLean, VA, USA

Volume

40

Issue

4

fYear

1992

fDate

4/1/1992 12:00:00 AM

Firstpage

666

Lastpage

669

Abstract

The error probability results shown by I. Korn (see ibid., vol.38, no.11, p.1980-6, 1990) indicate that the error floor is higher for systems with decision feedback (DF). It was concluded that DF gives a lower error probability only for smaller values of the normalized bandwidth B/sub t/T of the premodulation Gaussian filter, higher values of the ratio of powers in the direct and diffuse signal components K, and a lower range of signal-to-noise ratio. It is shown that this conclusion is not correct by theoretically analyzing the case of the land mobile channel where K=0 (or - infinity dB) and deriving a simple closed-form expression for the error probability for 1 bit differential detection with DF. It is shown that DF reduces the error probability for all values of B/sub t/T and signal-to-noise ratios. The formula derived can be easily evaluated not only for Gaussian minimum shift keying (GMSK) but for all partial-response continuous-phase-modulation (PRCPM) signals.<>

Keywords

error statistics; minimum shift keying; telecommunication channels; GMSK; Gaussian minimum shift keying; PRCPM; closed-form expression; decision feedback; differential phase detection; diffuse signal components; direct signal components; error probability; land mobile channel; normalized bandwidth; partial-response continuous-phase-modulation; premodulation Gaussian filter; satellite mobile channel; signal-to-noise ratio; Additive white noise; Bandwidth; Bit error rate; Decision feedback equalizers; Detectors; Error probability; Phase detection; Rayleigh channels; Satellites; Signal to noise ratio;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.141418

Filename

141418