# Orthogonal designs with maximal rates

@article{Liang2003OrthogonalDW,
title={Orthogonal designs with maximal rates},
author={Xue-Bin Liang},
journal={IEEE Trans. Information Theory},
year={2003},
volume={49},
pages={2468-2503}
}
Orthogonal designs have been used as space–time block codes for wireless communications with multiple transmit antennas, which can achieve full transmit diversity and have a very simple decoupled maximum-likelihood decoding algorithm. The rate of an orthogonal design is defined as the ratio of the number of transmitted information symbols in a block of channel uses to the length of the given block, which reflects the bandwidth efficiency of the employed space–time block code constructed from… CONTINUE READING

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#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 46 REFERENCES

## On the nonexistence of rate-one generalized complex orthogonal designs

• IEEE Trans. Information Theory
• 2003
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## Space-Time block codes from orthogonal designs

• IEEE Trans. Information Theory
• 1999
VIEW 16 EXCERPTS
HIGHLY INFLUENTIAL

## A simple transmit diversity technique for wireless communications

• IEEE Journal on Selected Areas in Communications
• 1998
VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

## Amicable orthogonal designs---existence

VIEW 11 EXCERPTS
HIGHLY INFLUENTIAL

## A theorem of Hurwitz and Radon and orthogonal projective modules

VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

## Correction to “On matrices whose real linear combinations are nonsingular”

VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

T. Józefiak
• Queen’s Papers on Pure and Applied Mathematics , vol. 36, pp. 346–351.
• 1963
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## Über die Komposition der quadratischen Formen

VIEW 12 EXCERPTS
HIGHLY INFLUENTIAL

## Orthogonal designs and third generation wireless communication

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## Über die Komposition der quadratischen Formen von beliebig vielen Variablen

VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL