Performance Evaluation of Space-Time Block Codes from Coordinate Interleaved Orthogonal Designs in Shadowed Fading Channels

• Published in: IEEE transactions on vehicular technology Vol. 60; no. 3; pp. 1289 - 1295
• Main Authors: YOON, Chanho, LEE, Hoojin, KANG, Joonhyuk
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Approximation; Approximation methods; Block codes; Channels; Coding, codes; Computer simulation; Coordinate interleaved orthogonal designs (CIODs); Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Exact solutions; Fading; information outage probability (IOP); Information, signal and communications theory; lognormal shadowing; Materials; Mathematical analysis; Monte Carlo methods; Operation. Load control. Reliability; Power networks and lines; Rayleigh channels; Rayleigh fading; Shadow mapping; Signal and communications theory; Signal to noise ratio; space-time block codes (STBCs); symbol error rate (SER); Symmetric matrices; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitting antennas; Performance evaluation; Block code; Space-time codes; Hermite interpolation; space-time block codes (STBCs); symbol error rate (SER); Power system stability; Shadow; IOP protocol; Coordinate interleaved orthogonal designs (CIODs); Lognormal distribution; Composite material; Probability density function; Symbol error rate; information outage probability (IOP); Fading channels; Lower bound; Monte Carlo method; Outage; Rayleigh channels; Theoretical study; Chi square; Statistical method; Upper bound; lognormal shadowing; Numerical simulation; Rayleigh fading; Shadowing; Signal to noise ratio
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/TVT.2010.2103099

In this correspondence, we evaluate the symbol error rate (SER) and information outage probability (IOP) of space-time block codes (STBCs) from coordinate interleaved orthogonal designs (CIODs) in the composite channel of lognormal shadowing and Rayleigh fading. By applying the Gauss-Hermite quadrature integration, we derive an accurate closed-form approximation for the symbol pairwise error rate (SPER) and corresponding tight upper and lower bounds on the SER of STBCs from CIODs. An accurate closed-form approximate formula for the IOP is also derived by formulating the composite squared lognormal/chi-square probability density function and exploiting the high-signal-to-noise-ratio (SNR) approximation technique. Furthermore, we investigate the achievability of full diversity in Rayleigh fading channels with shadowing effects. Finally, various Monte Carlo simulations are performed to validate our theoretical results.