On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Space-Time Coding
IEEE Transactions on Information Theory
Serial concatenation of interleaved codes: performance analysis, design, and iterative decoding
IEEE Transactions on Information Theory
Differential space-time modulation
IEEE Transactions on Information Theory
Representation theory for high-rate multiple-antenna code design
IEEE Transactions on Information Theory
Cayley differential unitary space-time codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Optimal space-time constellations from groups
IEEE Transactions on Information Theory
Super-orthogonal space-time trellis codes
IEEE Transactions on Information Theory
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
Differential space-time turbo codes
IEEE Transactions on Information Theory
Full-diversity, high-rate space-time block codes from division algebras
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
On optimal multilayer cyclotomic space-time code designs
IEEE Transactions on Information Theory
The golden code: a 2×2 full-rate space-time code with nonvanishing determinants
IEEE Transactions on Information Theory
STBC-schemes with nonvanishing determinant for certain number of transmit antennas
IEEE Transactions on Information Theory
An algebraic family of complex lattices for fading channels with application to space-time codes
IEEE Transactions on Information Theory
Explicit Space–Time Codes Achieving the Diversity–Multiplexing Gain Tradeoff
IEEE Transactions on Information Theory
Perfect Space–Time Block Codes
IEEE Transactions on Information Theory
Algebraic Cayley Differential Space–Time Codes
IEEE Transactions on Information Theory
Some Designs of Full Rate Space–Time Codes With Nonvanishing Determinant
IEEE Transactions on Information Theory
Perfect Space–Time Codes for Any Number of Antennas
IEEE Transactions on Information Theory
Space–Time Coding Techniques With Bit-Interleaved Coded Modulations for MIMO Block-Fading Channels
IEEE Transactions on Information Theory
The Icosian Code and the Lattice: A New Space–Time Code With Nonvanishing Determinant
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A simple transmit diversity technique for wireless communications
IEEE Journal on Selected Areas in Communications
A differential detection scheme for transmit diversity
IEEE Journal on Selected Areas in Communications
Full rate space-time turbo codes
IEEE Journal on Selected Areas in Communications
A novel weighted multilevel space-time trellis coding scheme
Computers & Mathematics with Applications
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Differential space-time modulation (DSTM) has been recently proposed by Hughes, and Hochwald and Sweldens when the channel information is not known at the receiver, where the demodulation is in fact the same as the coherent demodulation of space-time block coding by replacing the channel matrix with the previously received signal matrix. On the other hand, the DSTM also needs a recursive memory of a matrix block at the encoder and therefore provides a trellis structure when the channel information is known at the receiver, which is the interest of this paper. This recursive structure of the DSTM has been adopted lately by Schlegel and Grant in joint with a conventional binary code and joint iterative decoding/demodulation with a superior performance. The number of states of the trellis from the recursive structure depends on both the memory size, which is fixed in this case, and the unitary space-time code (USTC). When a USTC for the DSTM forms a group, the number of states is the same as the size of the USTC, otherwise the number of the states is the size of the semi-group generated by the USTC from all the multiplications of the matrices in the USTC. It is well known in the conventional convolutional coding (CC) or the trellis coded modulation (TCM), the free (Hamming or Euclidean) distance (or the performance) increases when the number of states increases by adding more memory with a properly designed CC or TCM. In this paper, we systematically study and design the USTC/DSTM for the recursive space-time trellis modulation and show that the diversity product increases when the number of states increases, which is not because of the memory size but because of the different USTC designs that generate different sizes of semi-groups. We propose a new USTC design criterion to ensure that the trellis structure improves the diversity product over the USTC as a block code. Based on the new criterion, we propose a new class of USTC design for an arbitrary number of transmit antennas that has an analytical diversity product formula for two transmit antennas. We then follow Schlegel and Grant's approach for joint encoding and iterative decoding of a binary coded DSTM (turbo space-time coding) and numerically show that our new USTC designs for the recursive space-time trellis modulation outperforms the group USTC used by Schlegel and Grant.