Alamouti code[1]
Description
The simplest OSTBC, with \(n=2\) transmitting antennas, \(m=1\) receiving antenna, and \(t=2\) channel uses.
The transmit matrix is \begin{align} \begin{pmatrix}c_{1} & c_{2}\\ -c_{2}^{\star} & c_{1}^{\star} \end{pmatrix}~, \tag*{(1)}\end{align} where \(c_i\) are complex numbers, and where \(\star\) denotes complex conjugation.
Rate
The only complex OSTBC with full rate, i.e., one complex information symbol per channel use [2,3].Realizations
Wireless standards since: 3G, LTE, LTE-Advanced, and 5G.Wireless communication: IEEE 802.11n, IEEE 802.11ad, IEEE 802.11ay, etc.Member of code lists
Primary Hierarchy
Parents
Codewords of the Alamouti code are two-dimensional unitary matrices.
Alamouti code
References
- [1]
- S. M. Alamouti, “A simple transmit diversity technique for wireless communications”, IEEE Journal on Selected Areas in Communications 16, 1451 (1998) DOI
- [2]
- V. Tarokh, H. Jafarkhani, and A. R. Calderbank, “Space-time block codes from orthogonal designs”, IEEE Transactions on Information Theory 45, 1456 (1999) DOI
- [3]
- Xue-Bin Liang, “Orthogonal designs with maximal rates”, IEEE Transactions on Information Theory 49, 2468 (2003) DOI
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2022-04-21)
Cite as:
“Alamouti code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/alamouti, arXiv:2606.11484