Complex Korkine-Zolotareff Reduction Algorithm for Full-Diversity MIMO Detection

The Korkine-Zolotareff (KZ) reduced basis is considered as the best reduced basis for use in data decoding in multiple-input multiple-output (MIMO) communication systems. In this paper, we present an improved KZ algorithm for direct application in reducing a complex lattice basis. The enumeration al...

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Published in:IEEE communications letters Vol. 17; no. 2; pp. 381 - 384
Main Authors: Jiang, Hua, Du, Sidan
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.02.2013
Institute of Electrical and Electronics Engineers
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ISSN:1089-7798
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Abstract The Korkine-Zolotareff (KZ) reduced basis is considered as the best reduced basis for use in data decoding in multiple-input multiple-output (MIMO) communication systems. In this paper, we present an improved KZ algorithm for direct application in reducing a complex lattice basis. The enumeration algorithm, which is the dominant contributor to the main cost of the KZ algorithm, is also modified for a complex lattice. We reduce the number of iterations in the KZ algorithm to reduce complexity without degrading performance. In addition, we show that KZ-reduction-aided decoding is capable of achieving full diversity. Simulation results demonstrate the excellent performance and low complexity of the improved algorithm.
AbstractList The Korkine-Zolotareff (KZ) reduced basis is considered as the best reduced basis for use in data decoding in multiple-input multiple-output (MIMO) communication systems. In this paper, we present an improved KZ algorithm for direct application in reducing a complex lattice basis. The enumeration algorithm, which is the dominant contributor to the main cost of the KZ algorithm, is also modified for a complex lattice. We reduce the number of iterations in the KZ algorithm to reduce complexity without degrading performance. In addition, we show that KZ-reduction-aided decoding is capable of achieving full diversity. Simulation results demonstrate the excellent performance and low complexity of the improved algorithm.
Author Hua Jiang
Sidan Du
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10.1109/ICC.2004.1312611
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10.1109/MSP.2010.938758
10.1016/0304-3975(87)90064-8
10.1007/BF01581144
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Issue 2
Keywords Performance evaluation
MIMO system
Iterative method
lattice reduction
Decoding
multiple-input multiple-output (MIMO)
Algorithm
full diversity
Simulation
enumeration algorithm
Telecommunication system
Algorithm complexity
Korkine-Zolotareff reduction
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Snippet The Korkine-Zolotareff (KZ) reduced basis is considered as the best reduced basis for use in data decoding in multiple-input multiple-output (MIMO)...
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SubjectTerms Applied sciences
Bit error rate
Coding, codes
Decoding
Detectors
enumeration algorithm
Exact sciences and technology
full diversity
Information, signal and communications theory
Korkine-Zolotareff reduction
lattice reduction
Lattices
MIMO
multiple-input multiple-output (MIMO)
Signal and communications theory
Signal processing algorithms
Telecommunications and information theory
Vectors
Title Complex Korkine-Zolotareff Reduction Algorithm for Full-Diversity MIMO Detection
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