Spacetime block code (STBC)[1]

Description

In a space-time block code, \(n\) spatially separated channels transmit symbols in \(T\) time slots. These symbols can be arranged in a \(T\times n\) matrix where the columns correspond to the channels, and the rows correspond to the time slots. The codewords \(\{X\}\) are \(T\times n\) matrices such that the codeword difference matrices have rank \(n\), and \(\min_{X\neq 0}\det(XX^*)\) is maximized.

Protection

Provides protection against errors due to thermal noise and destructive interference arising from traversing an environment with scattering, reflection, and/or refraction.

Realizations

High data-rate wireless communication, e.g., WiMAX (IEEE 802.16m) [2][3].

Parent

  • Spacetime code (STC) — Spacetime codes also use spatial and temporal diversity, but do not necessarily use blocks as codewords.

Child

Zoo code information

Internal code ID: spacetime_block

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: spacetime_block

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

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]
R. Vidhya Lavanya and M. Madheswaran, “Wimax (IEEE 802.16 m) system based on space time block code and discrete multiwavelet transform and implementation in FPGA”, Telecommunication Systems 56, 327 (2013). DOI
[3]
S. P. Alex and L. M. A. Jalloul, “Performance Evaluation of MIMO in IEEE802.16e/WiMAX”, IEEE Journal of Selected Topics in Signal Processing 2, 181 (2008). DOI

Cite as:

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

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