On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Systematic design of space-time trellis codes for diversity and coding advantages
EURASIP Journal on Applied Signal Processing - Space-time coding and its applications - part I
Trellis coded spatial modulation
IEEE Transactions on Wireless Communications
Space-Time Coding: Theory and Practice
Space-Time Coding: Theory and Practice
Novel distributed space-time trellis codes for relay systems over cascaded Rayleigh fading
IEEE Communications Letters
Multiple-antenna techniques for wireless communications - a comprehensive literature survey
IEEE Communications Surveys & Tutorials
Improved space-time convolutional codes for quasi-static slow fading channels
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Space-time block codes from orthogonal designs
IEEE Transactions on Information Theory
Error bounds for convolutional codes and an asymptotically optimum decoding algorithm
IEEE Transactions on Information Theory
A new description of trellis codes
IEEE Transactions on Information Theory
A simple transmit diversity technique for wireless communications
IEEE Journal on Selected Areas in Communications
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The space time trellis code (STTC) is a combined design of error-control coding, modulation and transmit-receive diversity that improves data rate and error performance in a wireless channel without any loss in spectral efficiency. It can either be described by a graphical representation, or, in terms of closed analytical forms that lead to a more tractable generator matrix description. However, the main difficulty in generating best code is the long search duration which makes both trellis implementation and generator matrix description difficult, thereby, limiting the use of STTC in wireless links. Since an exhaustive search over all the matrix entries turns out to be impractical if the number of transmitter, encoder states and/or constellation size is very high, some literature provide techniques to reduce the search complexity. Some of them are sub-optimal, some are good. However, none reports any straightforward rule of thumb to design the generator matrix. In this paper, we propose two very simple rules to construct the generator matrix for designing STTC with any arbitrary number of transmit antennas and any memory-less constellation. Mathematical justification behind the rules has been presented. It has been shown that the simplicity of proposed rules reduces the code search complexity to a large extent along with a similar or better coding gain compared to those presented in previous literature. In addition, the STTCs obtained from proposed rules perform no worse than the codes given in previous literature in terms of error rate.