Subcarrier Grouping for OFDM With Linear Constellation Precoding Over Multipath Fading Channels

• Published in: IEEE transactions on vehicular technology Vol. 56; no. 6; pp. 3607 - 3613
• Main Authors: Tran, N.H., Nguyen, H.H., Tho Le-Ngoc
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Analytical models; Applied sciences; Channels; Coding; Coding, codes; Constellations; Degradation; Diversity methods; Diversity techniques; Exact sciences and technology; Fading; fading channels; Frequency division multiplexing; Gain; Information, signal and communications theory; linear constellation precoding (LCP); Low earth orbit satellites; Mathematical analysis; Multiplexing; OFDM; Orthogonal Frequency Division Multiplexing; orthogonal frequency-division multiplexing (OFDM); Predictive models; Rician channels; Senior members; Signal and communications theory; Subcarriers; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Fading channels; Euler equation; linear constellation precoding (LCP); Coding; Orthogonal frequency division multiplexing; System simulation; Diversity techniques; Subcarrier; Multipath channels; Gain; orthogonal frequency-division multiplexing (OFDM)
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/TVT.2007.899970

This paper presents a general analysis of the achievable diversity and coding gains of orthogonal frequency-division multiplexing systems using linear constellation precoding and subcarrier grouping over multipath fading channels. It shows that the maximum diversity gain can be achieved with any subcarrier grouping scheme, as long as its group size F is not less than the number of effective resolvable paths L . For F ges L , the maximum coding gain can be achieved if F is an Euler number or an integer power of 2. Otherwise, the achievable coding gain approaches at least 70% of the maximum one. The analysis also proves the existence of a unique solution for optimum subcarrier grouping to achieve the maximum coding gain when F = L . Simulation results support the analytical prediction on the diversity and coding gains.