• DocumentCode
    3546690
  • Title

    Radix-8 algorithm for the new Mersenne number transform

  • Author

    Li Guodong ; Li Lei ; Zhou Wanting

  • Author_Institution
    Res. Inst. of Electron. Sci. & Technol., UESTC, Chengdu, China
  • Volume
    2
  • fYear
    2013
  • fDate
    15-17 Nov. 2013
  • Firstpage
    143
  • Lastpage
    146
  • Abstract
    The new Mersenne number transform (NMNT) was proposed for the calculation of error free convolutions and correlations of signal processing purposes. The aim of this paper is to develop a radix-8 algorithm for fast calculation of the NMNT with a sequence length equal to a power of eight. The arithmetic complexity of this algorithm is analyzed, and then the number of multiplications and additions is calculated. An example is given to prove the validity of this algorithm and exact nature of this transform.
  • Keywords
    convolution; correlation methods; digital arithmetic; transforms; Mersenne number transform; arithmetic complexity; error free convolutions; error free correlations; radix-8 algorithm; signal processing; Algorithm design and analysis; Complexity theory; Convolution; Equations; Mathematical model; Signal processing algorithms; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications, Circuits and Systems (ICCCAS), 2013 International Conference on
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-1-4799-3050-0
  • Type

    conf

  • DOI
    10.1109/ICCCAS.2013.6765305
  • Filename
    6765305