The bit error probability performance for a digital PLL based MPSK demodulator

Author

Cramer, R. Jean-Marc ; Fitz, Michael P.

Author_Institution

TRW Inc., Redondo Beach, CA, USA

fYear

1991

fDate

4-7 Nov 1991

Firstpage

101

Abstract

The authors present a statistical characterization of a uniformly sampled, first-order, decision-directed (DD), digitally implemented phase-locked loop (DPLL) for MPSK modulations. The phase detector (PD) considered has an ideal sawtooth form. A discrete-time Markov chain characterizes the DPLL and the associated PD. The signal, demodulator, and loop models are presented. The Markov chain describing the DD-DPLL operation is developed. Numerical considerations are discussed, and the steady-state phase error density functions are derived. These results are used to calculate the bit error probability for BPSK, QPSK, and 8PSK DPLL-based demodulators

Keywords

Markov processes; demodulators; digital circuits; error statistics; phase shift keying; phase-locked loops; probability; 8PSK; BPSK; DPLL; MPSK demodulator; QPSK; bit error probability; decision directed PLL; digital PLL; discrete-time Markov chain; first order PLL; phase detector; phase error density functions; statistical characteristics; Binary phase shift keying; Demodulation; Density functional theory; Detectors; Digital modulation; Error probability; Phase detection; Phase locked loops; Phase modulation; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Military Communications Conference, 1991. MILCOM '91, Conference Record, Military Communications in a Changing World., IEEE

Conference_Location

McLean, VA

Print_ISBN

0-87942-691-8

Type

conf

DOI

10.1109/MILCOM.1991.258213

Filename

258213