Title :
Performance of Space–Time Codes: Gallager Bounds and Weight Enumeration
Author :
Ling, Cong ; Li, KwokH ; Kot, Alex C.
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London
Abstract :
Since the standard union bound for space-time codes may diverge in quasi-static fading channels, the limit-before-average (LBA) technique has been exploited to derive tight performance bounds. However, it suffers from the computational burden arising from a multidimensional integral. In this paper, efficient bounding techniques for space-time codes are developed in the framework of Gallager bounds. Two closed-form upper bounds, the ellipsoidal bound and the spherical bound, are proposed that come close to simulation results within a few tenths of a decibel. In addition, two novel methods of weight enumeration operating on a further reduced state diagram are presented, which, in conjunction with the bounding techniques, give a thorough treatment of performance bounds for space-time codes.
Keywords :
channel coding; fading channels; integral equations; space-time codes; Gallager bound technique; ellipsoidal bound technique; limit-before-average technique; multidimensional integral; quasistatic fading channel; reduced state diagram method; space-time code; spherical bound technique; weight enumeration method; Code standards; Computational modeling; Conferences; Error probability; Fading; Guidelines; Information theory; Multidimensional systems; Performance analysis; Upper bound; Characteristic function; Gallager bounds; ellipsoidal bound; performance bounds; space–time coding; spherical bound; weight spectrum;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.926383
