Generalized super-unified constructions for space-time codes

Francis Lu

doi:10.1109/ICC.2005.1494413

Generalized super-unified constructions for space-time codes

Francis Lu^*

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

A generalized ℘-radii construction for space-time codes achieving the optimal rate-diversity tradeoff is presented in this paper. The new construction is obtained by extending Mammons' dyadic dual-radii construction to the cases when the size of the constellation A is a power of a prime ℘, ℘ ≥ 2. The resulting space-time code is optimal in terms of achieving the rate-diversity tradeoff and has an AM-PSK constellation with signal alphabets distributed over ℘-concentric circles in the complex plane, i.e., there are ℘ radii. Finally, we present the generalized super-unified construction by generalizing the super-unified construction by Hammons in [1]. The generalized results are readily to be extended to cater to the constructions of both optimal space-time block and trellis codes and even to the constructions of optimal codes over multiple-fading blocks.

Original language	English
Pages (from-to)	558-562
Number of pages	5
Journal	IEEE International Conference on Communications
Volume	1
DOIs	https://doi.org/10.1109/ICC.2005.1494413
State	Published - 15 Sep 2005
Event	2005 IEEE International Conference on Communications, ICC 2005 - Seoul, Korea, Republic of Duration: 16 May 2005 → 20 May 2005

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title = "Generalized super-unified constructions for space-time codes",

abstract = "A generalized ℘-radii construction for space-time codes achieving the optimal rate-diversity tradeoff is presented in this paper. The new construction is obtained by extending Mammons' dyadic dual-radii construction to the cases when the size of the constellation A is a power of a prime ℘, ℘ ≥ 2. The resulting space-time code is optimal in terms of achieving the rate-diversity tradeoff and has an AM-PSK constellation with signal alphabets distributed over ℘-concentric circles in the complex plane, i.e., there are ℘ radii. Finally, we present the generalized super-unified construction by generalizing the super-unified construction by Hammons in [1]. The generalized results are readily to be extended to cater to the constructions of both optimal space-time block and trellis codes and even to the constructions of optimal codes over multiple-fading blocks.",

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N2 - A generalized ℘-radii construction for space-time codes achieving the optimal rate-diversity tradeoff is presented in this paper. The new construction is obtained by extending Mammons' dyadic dual-radii construction to the cases when the size of the constellation A is a power of a prime ℘, ℘ ≥ 2. The resulting space-time code is optimal in terms of achieving the rate-diversity tradeoff and has an AM-PSK constellation with signal alphabets distributed over ℘-concentric circles in the complex plane, i.e., there are ℘ radii. Finally, we present the generalized super-unified construction by generalizing the super-unified construction by Hammons in [1]. The generalized results are readily to be extended to cater to the constructions of both optimal space-time block and trellis codes and even to the constructions of optimal codes over multiple-fading blocks.

AB - A generalized ℘-radii construction for space-time codes achieving the optimal rate-diversity tradeoff is presented in this paper. The new construction is obtained by extending Mammons' dyadic dual-radii construction to the cases when the size of the constellation A is a power of a prime ℘, ℘ ≥ 2. The resulting space-time code is optimal in terms of achieving the rate-diversity tradeoff and has an AM-PSK constellation with signal alphabets distributed over ℘-concentric circles in the complex plane, i.e., there are ℘ radii. Finally, we present the generalized super-unified construction by generalizing the super-unified construction by Hammons in [1]. The generalized results are readily to be extended to cater to the constructions of both optimal space-time block and trellis codes and even to the constructions of optimal codes over multiple-fading blocks.

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Generalized super-unified constructions for space-time codes

Abstract

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