Effectiveness of Grey coding in an AWGN digital channel data transmission

Abstract

This paper presents the analysis of the error probabilities in a digital AWGN channel data transmission, for a line-coded string of bits, using the Gray code, for different values of thresholds and voltage levels in the transmission. The analysis is performed throughout the comparison of the numeric evaluation of exact formulas with the error probability estimation obtained by statistical frequency repetition and error counting.

Keywords

• Additive white gaussian noise (AWGN) channel
• Gray code
• bit error rate (BER)
• symbol error rate.