Title :
New BER Expression of MPSK
Author :
Jeong, Woojin ; Lee, Jaeyoon ; Yoon, Dongweon
Author_Institution :
Dept. of Electron. & Commun. Eng., Hanyang Univ., Seoul, South Korea
fDate :
5/1/2011 12:00:00 AM
Abstract :
This paper provides a new, exact, and general expression involving 1-D and 2-D Q-functions for the bit error probability of M-ary phase-shift keying (MPSK) under additive white Gaussian noise (AWGN) and fading channels when Gray code bit mapping is employed. Regular patterns in the error probability expression of the kth bit are observed while developing the bit error rate (BER) expression. From these patterns, we then derive a new BER expression for the MPSK constellation.
Keywords :
AWGN channels; Gray codes; error statistics; fading channels; phase shift keying; 1D Q-functions; 2D Q-functions; AWGN channel; BER expression; Gray code bit mapping; M-ary phase-shift keying; MPSK constellation; additive white Gaussian noise; bit error probability; bit error rate; error probability expression; fading channel; Bit error rate; Constellation diagram; Encoding; Error probability; Fading; Lead; Phase shift keying; $M$-ary phase-shift keying (MPSK); Bit error probability; gray coding;
Journal_Title :
Vehicular Technology, IEEE Transactions on
DOI :
10.1109/TVT.2011.2114903
