Abstract
Threaded Algebraic Space Time (TAST) codes developed by Gamal et al. is a powerful class of space time codes in which different layers are combined and separated by appropriate Diophantine number . In this paper we introduce a technique of block layering in TAST codes, in which a series of layers (we call it Block layers) has more than one transmit antenna at the same time instant. As a result we use fewer layers (Diophantine numbers) for the four transmit antennas scheme, which enhances the coding gain of our proposed scheme. In each block layer we incorporate Alamouti’s transmit diversity scheme which decreases the decoding complexity. The proposed code achieves a normalized rate of 2 symbol/s. Simulation result shows that this type of codes outperforms TAST codes in certain scenarios.
Highlights
It is well know that wireless communications systems over Rayleigh fading channels can benefit from the simultaneous use of multiple antennas at both the transmitter and receiver to convey information either more reliably or at higher rates than would be possible for single antenna system
Threaded Algebraic Space Time (TAST) codes developed by Gamal et al is a powerful class of space time codes in which different layers are combined and separated by appropriate Diophantine number
In this paper we introduce a technique of block layering in TAST codes, in which a series of layers has more than one transmit antenna at the same time instant
Summary
It is well know that wireless communications systems over Rayleigh fading channels can benefit from the simultaneous use of multiple antennas at both the transmitter and receiver to convey information either more reliably or at higher rates than would be possible for single antenna system. Threaded Algebraic codes [5] based on Diophantine approximation theory and number field were further generalized in [6,7] for arbitrary number of transmit and receive antennas, retaining full rate and maximum diversity. Such types of high rate STBC codes have been constructed using division algebras [8,9]. As a result the DNF TAST code for four transmit antennas scheme provides higher coding gain and higher code rate retaining maximum diversity as that of original layered codes.
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