A Unified Closed-Form Formula for the SPERs of Full-Diversity Rate-1 Single-Complex-Symbol Decodable STBCs in Rayleigh Fading Channels

Author

Hoojin Lee

Author_Institution

Dept. of Inf. & Commun. Eng., Hansung Univ., Seoul, South Korea

Volume

17

Issue

8

fYear

2013

fDate

Aug-13

Firstpage

1576

Lastpage

1579

Abstract

In this letter, a generic unified closed-form formula is derived, which can be applied for the derivation of average symbol pairwise error rates (SPERs) of quasi-orthogonal space-time block codes with minimum decoding complexity (MDC-QSTBCs) and space-time block codes obtained from coordinate interleaved orthogonal designs (STBCs-CIODs) over quasi-static frequency-nonselective i.i.d. Rayleigh fading channels. Based on the derived closed-form formula, we also provide its asymptotic approximate expression that can be effectively utilized to explicitly obtain the coding gain and verify the full-diversity achievability for both the STBCs.

Keywords

Rayleigh channels; approximation theory; frequency selective surfaces; interleaved codes; space-time block codes; MDC-QSTBC; Rayleigh fading channels; SPER; STBC-CIOD; asymptotic approximate expression; coordinate interleaved orthogonal designs; full-diversity rate-1 single-complex-symbol decodable STBC; minimum decoding complexity; quasi-orthogonal space-time block codes; quasi-static frequency-nonselective channel; symbol pairwise error rates; unified closed-form formula; Block codes; Complexity theory; Error analysis; Fading; Signal to noise ratio; Transmitting antennas; Space-time block code (STBC); asymptotic diversity order; coordinate interleaved orthogonal design (CIOD); quasi-orthogonal STBC with minimum decoding complexity (MDC-QSTBC); symbol pairwise error rate (SPER);

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2013.070113.130833

Filename

6560018