Alamouti code[1]

Description

The simplest OSTBC, with two time slots, two channels, and with unitary coding matrix \begin{align} \begin{pmatrix}c_{1} & c_{2}\\ -c_{2}^{\star} & c_{1}^{\star} \end{pmatrix}~, \end{align} where \(c_i\) are complex numbers.

Rate

The only OSTBC with unity rate.

Parent

Zoo code information

Internal code ID: alamouti

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: alamouti

Cite as:
“Alamouti code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/alamouti
BibTeX:
@incollection{eczoo_alamouti, title={Alamouti code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/alamouti} }
Permanent link:
https://errorcorrectionzoo.org/c/alamouti

References

[1]
S. M. Alamouti, “A simple transmit diversity technique for wireless communications”, IEEE Journal on Selected Areas in Communications 16, 1451 (1998). DOI

Cite as:

“Alamouti code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/alamouti

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/matrices/alamouti.yml.