Computation of the Exact Bit-Error Rate of Coherent M-ary PSK With Gray Code Bit Mapping
Journal article, 2003

The problem of calculating the average bit-error probability (BEP) of coherent M-ary phase-shift keying (PSK) over a Gaussian channel has been studied previously in the literature. A solution to the problem for systems using a binary reflected Gray code (BRGC) to map bits to symbols was first presented by Lee. In this letter, we show that the results obtained by Lee are incorrect for M greater than or equal to 16. We show that the reason for this is an invalid assumption that the bit-error rate (BER) is independent of the transmitted symbols, an assumption which has also propagated to textbooks. We give a new expression for the BER of M-PSK systems using the BRGC and compare this with Lee's results.

linear-mod

error-control

Author

Johan Lassing

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Erik Ström

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Erik Agrell

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Tony Ottosson Gadd

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

IEEE Transactions on Communications

0090-6778 (ISSN)

Vol. 51 11 1758-1760

Subject Categories

Computer and Information Science

DOI

10.1109/TCOMM.2003.818102

More information

Latest update

3/29/2018