Spacetime code (STC)[1]
Description
Code designed for wireless transmission of information (via, e.g., radio waves) such that the sender can send multiple times from multiple locations. A spacetime code uses a modulation scheme to encode a message into signals that are sent at different times through different antennas, thereby utilizing both spatial and temporal (i.e., spacetime) degrees of freedom.Rate
Shannon capacity of various multiple-input multiple-output (MIMO) channels has been determined [2–5].MIMO channel capacity when the channel is unknown to the sender and receiver [6,7] can be interpreted as a problem of placing points on the Grassmannian [8].Cousins
- Grassmannian code— MIMO channel capacity when the channel is unknown to the sender and receiver [6,7] can be interpreted as a problem of placing points on the Grassmannian [8].
- Hayden-Nezami-Salton-Sanders bosonic code— Hayden-Nezami-Salton-Sanders codes have been considered in the context of spacetime replication of quantum data [11,12], while STCs are designed to replicate classical data.
- Codeword stabilized (CWS) code— CWS codes have been considered in the context of spacetime replication of quantum data [11,12], while STCs are designed to replicate classical data.
Member of code lists
Primary Hierarchy
Parents
Spacetime code (STC)
Children
Spacetime codes also use spatial and temporal diversity, but do not necessarily use blocks as codewords.
References
- [1]
- V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space-time codes for high data rate wireless communication: performance criterion and code construction”, IEEE Transactions on Information Theory 44, 744 (1998) DOI
- [2]
- G. J. Foschini, “Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas”, Bell Labs Technical Journal 1, 41 (2002) DOI
- [3]
- E. Telatar, “Capacity of Multi‐antenna Gaussian Channels”, European Transactions on Telecommunications 10, 585 (1999) DOI
- [4]
- G. J. Foschini and M. J. Gans, Wireless Personal Communications 6, 311 (1998) DOI
- [5]
- A. Goldsmith, S. A. Jafar, N. Jindal, and S. Vishwanath, “Capacity limits of MIMO channels”, IEEE Journal on Selected Areas in Communications 21, 684 (2003) DOI
- [6]
- B. M. Hochwald and T. L. Marzetta, “Unitary space-time modulation for multiple-antenna communications in Rayleigh flat fading”, IEEE Transactions on Information Theory 46, 543 (2000) DOI
- [7]
- T. L. Marzetta and B. M. Hochwald, “Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading”, IEEE Transactions on Information Theory 45, 139 (1999) DOI
- [8]
- Lizhong Zheng and D. N. C. Tse, “Communication on the Grassmann manifold: a geometric approach to the noncoherent multiple-antenna channel”, IEEE Transactions on Information Theory 48, 359 (2002) DOI
- [9]
- B. Clerckx and C. Oestges, “From Multi-Dimensional Propagation to Multi-Link MIMO Channels”, Mimo Wireless Networks 29 (2013) DOI
- [10]
- F. Oggier, “Spacetime Coding.” Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021) DOI
- [11]
- P. Hayden and A. May, “Summoning information in spacetime, or where and when can a qubit be?”, Journal of Physics A: Mathematical and Theoretical 49, 175304 (2016) arXiv:1210.0913 DOI
- [12]
- P. Hayden, S. Nezami, G. Salton, and B. C. Sanders, “Spacetime replication of continuous variable quantum information”, New Journal of Physics 18, 083043 (2016) arXiv:1601.02544 DOI
Page edit log
- Victor V. Albert (2022-04-21) — most recent
Cite as:
“Spacetime code (STC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/spacetime