Spacetime block code (STBC)[1–4] 

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) [5–7].

Parent

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

Children

References

[1]
B. L. Hughes, “Differential space-time modulation”, IEEE Transactions on Information Theory 46, 2567 (2000) DOI
[2]
B. M. Hochwald et al., “Systematic design of unitary space-time constellations”, IEEE Transactions on Information Theory 46, 1962 (2000) DOI
[3]
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
[4]
B. M. Hochwald and W. Sweldens, “Differential unitary space-time modulation”, IEEE Transactions on Communications 48, 2041 (2000) DOI
[5]
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
[6]
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
[7]
“Advances in smart antennas - MIMO-OFDM wireless systems: basics, perspectives, and challenges”, IEEE Wireless Communications 13, 31 (2006) DOI
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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}
}
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Permanent link:
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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/spacetime_block.yml.