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Finite precision analysis for space-time decoding

Publication ,  Journal Article
Wu, Y; Davis, LM; Calderbank, AR
Published in: IEEE Transactions on Signal Processing
December 1, 2009

Low complexity optimal (or nearly optimal) decoders for space-time codes have recently been under intensive investigation. For example, recent works by Sirianunpiboon and others show that the Silver code and the Golden code can be decoded optimally (or nearly optimally) with quadratic decoding complexity. Fast decodability makes them very attractive in practice. In implementing these decoders, floating-point to fixed-point conversion (FFC) needs to be carefully undertaken to minimize hardware cost while retaining decoding performance. The process of quantization for fixed-point representations is often ignored by research community and lacks investigation, and so FFC is often conducted heuristically based on simulations. This paper studies the effects of quantization to space-time coded systems from an information theoretic perspective. It shows the analytical relationship between quantization error and decoding performance deterioration. This paper also proposes a general finite precision implementation methodology including two FFC criteria for space-time coded systems within an integer optimization framework. As a particular example, this paper examines the finite precision implementation of the quadratic optimal decoding algorithm of the Silver code. However, our methodology and techniques can be applied to general space-time codes. © 2009 IEEE.

Duke Scholars

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

December 1, 2009

Volume

57

Issue

12

Start / End Page

4861 / 4870

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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Wu, Y., Davis, L. M., & Calderbank, A. R. (2009). Finite precision analysis for space-time decoding. IEEE Transactions on Signal Processing, 57(12), 4861–4870. https://doi.org/10.1109/TSP.2009.2026068
Wu, Y., L. M. Davis, and A. R. Calderbank. “Finite precision analysis for space-time decoding.” IEEE Transactions on Signal Processing 57, no. 12 (December 1, 2009): 4861–70. https://doi.org/10.1109/TSP.2009.2026068.
Wu Y, Davis LM, Calderbank AR. Finite precision analysis for space-time decoding. IEEE Transactions on Signal Processing. 2009 Dec 1;57(12):4861–70.
Wu, Y., et al. “Finite precision analysis for space-time decoding.” IEEE Transactions on Signal Processing, vol. 57, no. 12, Dec. 2009, pp. 4861–70. Scopus, doi:10.1109/TSP.2009.2026068.
Wu Y, Davis LM, Calderbank AR. Finite precision analysis for space-time decoding. IEEE Transactions on Signal Processing. 2009 Dec 1;57(12):4861–4870.

Published In

IEEE Transactions on Signal Processing

DOI

ISSN

1053-587X

Publication Date

December 1, 2009

Volume

57

Issue

12

Start / End Page

4861 / 4870

Related Subject Headings

  • Networking & Telecommunications