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Fixed-Width Modified Booth Multiplier Design Based on Error Bound Analysis

  • Conference paper
Book cover Multimedia, Computer Graphics and Broadcasting (MulGraB 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 263))

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Abstract

The maximum quantization error has serious effect on the performance of fixed-width multipliers that receive W-bit inputs and produce W-bit products. In this paper, the error bound offered-width modified Booth multiplier is analyzed. Then, we present a design method that can be used to reduce the maximum error. By simulations, it is shown that the performance of the proposed fixed-width multiplier is close to that of the multiplier with rounding scheme. Also, by an FIR filter example, it is shown that the proposed method can be successfully applied to many multimedia and DSP applications requiring fixed-width property.

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Author information

Authors and Affiliations

  1. Korea Association Aids to Navigation, Korea

    Kyung-Ju Cho

  2. Chonbuk National University, Korea

    Jin-Gyun Chung

  3. Wonkwang University, Korea

    Hwan-Yong Kim & Yong-Kab Kim

  4. Chonnam National University, Korea

    Gwang-Jun Kim & Dae-Ik Kim

Authors
  1. Kyung-Ju Cho
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  2. Jin-Gyun Chung
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  3. Hwan-Yong Kim
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  4. Gwang-Jun Kim
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  5. Dae-Ik Kim
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  6. Yong-Kab Kim
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Editor information

Editors and Affiliations

  1. Multimedia Engineering Department, Hannam University, 133 Ojeong-dong, Daeduk-gu, Daejeon, Korea

    Tai-hoon Kim

  2. The Ohio State University, 470 Hitchcock Hall, 2070 Neil Avenue, 43210-1275, Columbus, OH, USA

    Hojjat Adeli

  3. Department of Computer and Information Science, University of Michigan – Dearborn, 4901 Evergreen Road, 48128, Dearborn, MI, USA

    William I. Grosky

  4. Florida International University, EC 2910, 10555 W. Flagler Street, 33174, Miami, FL, USA

    Niki Pissinou

  5. National Taipei University of Education, No.134, Sec. 2, Heping E. Rd., Da-an District, 106, Taipei City, Taiwan (R.O.C.)

    Timothy K. Shih

  6. Michigan State University, 48824-1226, East Lansing, MI, USA

    Edward J. Rothwell

  7. School of Computing and Information Systems, University of Tasmania, Hobart, TAS, Australia

    Byeong-Ho Kang

  8. Dept of IT, Hansei University, 604-5, Dangjung-Dong, Gunpo-Si, Gyunggi-Do, Korea

    Seung-Jung Shin

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© 2011 Springer-Verlag Berlin Heidelberg

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Cite this paper

Cho, KJ., Chung, JG., Kim, HY., Kim, GJ., Kim, DI., Kim, YK. (2011). Fixed-Width Modified Booth Multiplier Design Based on Error Bound Analysis. In: Kim, Th., et al. Multimedia, Computer Graphics and Broadcasting. MulGraB 2011. Communications in Computer and Information Science, vol 263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27186-1_32

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  • DOI: https://doi.org/10.1007/978-3-642-27186-1_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27185-4

  • Online ISBN: 978-3-642-27186-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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