Closed-Form Error Probability Formula for Narrowband DQPSK in Slow Rayleigh Fading and Gaussian Noise

Chun Sum NG
Francois P.S. CHIN
Tjeng Thiang TJUNG
Kin Mun LYE

Publication
IEICE TRANSACTIONS on Communications   Vol.E75-B    No.5    pp.401-412
Publication Date: 1992/05/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Radio Communication
Keyword: 
DQPSK,  rayleigh fading,  error probability,  intersymbol interference,  doppler shift,  cellular mobile telephony,  receiver IF bandwidth,  signal to noise ratio,  

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Summary: 
A new error rate formula for narrowband Differential Quaternary Phase Shift Keyed system in a Rayleigh fading channel is obtained in closed-form. The formula predicts a non-zero error probability for noiseless reception. As predicted, the computed error rates approach some constant or floor values as the signal-to-noise ratio is increased beyond a certain limit. In the presence of various Doppler frequency shifts, an IF filter bandwidth of about one times the symbol rate is found to lead to a minimum error probability prior to the appearence of the error rate floor.