New analytical probability of error expressions for classes of orthogonal signals in Rayleigh fading

Author

Dong, Xiaodai ; Beaulieu, Norman C.

Author_Institution

Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada

Volume

51

Issue

6

fYear

2003

fDate

6/1/2003 12:00:00 AM

Firstpage

849

Lastpage

853

Abstract

New exact expressions for the symbol-error rate and bit-error rate of coherent 3-ary and 4-ary orthogonal and transorthogonal signaling in slowly fading Rayleigh channels are derived. New exact error probability expressions for coherent 6-ary and 8-ary biorthogonal signaling in slow Rayleigh fading are also presented. The use of these exact expressions as accurate approximations for the error rates of M-ary orthogonal, biorthogonal, and transorthogonal signaling with arbitrary M is illustrated.

Keywords

Rayleigh channels; error statistics; telecommunication signalling; M-ary biorthogonal signaling; M-ary orthogonal signaling; M-ary transorthogonal signaling; Rayleigh fading; analytical probability of error expressions; bit-error rate; coherent 3-ary orthogonal signaling; coherent 3-ary transorthogonal signaling; coherent 4-ary orthogonal signaling; coherent 4-ary transorthogonal signaling; coherent 6-ary biorthogonal signaling; coherent 8-ary biorthogonal signaling; error probability expressions; orthogonal signals; symbol-error rate; AWGN; Additive white noise; Bit error rate; Error analysis; Frequency shift keying; Gaussian noise; Rayleigh channels; Signal analysis; Signal to noise ratio; Wireless communication;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2003.813261

Filename

1209279