Volume 19 Issue 1
Turn off MathJax
Article Contents
Abstract
Related Articles
ZHENG Qunxiong, QI Wenfeng. The Unique Distribution of Zeros in CompressingSequences Derived from Primitive Sequencesover Z=(pe)[J]. Chinese Journal of Electronics, 2010, 19(1): 159-164.
Citation: ZHENG Qunxiong, QI Wenfeng. The Unique Distribution of Zeros in CompressingSequences Derived from Primitive Sequencesover Z=(pe)[J]. Chinese Journal of Electronics, 2010, 19(1): 159-164.
shu

The Unique Distribution of Zeros in CompressingSequences Derived from Primitive Sequencesover Z=(pe)

More Information
  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
  • Published Date: January 04, 2010
    Graphical Abstract
    • Abstract
  • Let Z=(pe) be the integer residue ring with
    odd prime p and integer e ¸ 3. Any sequence a over Z=(pe)
    has a unique p-adic expansion a = a0+a1 ¢p+¢ ¢ ¢+ae¡1 ¢pe¡1,
    where ai can be regarded as a sequence over Z=(p) for
    0 · i · e ¡ 1. Let f(x) be a strongly primitive polynomial
    over Z=(pe) and let a; b be two primitive sequences gener-
    ated by f(x) over Z=(pe). Assume '(x0; ¢ ¢ ¢ ; xe¡1) = xe¡1 +
    ´(x0; ¢ ¢ ¢ ; xe¡2), where the degree of xe¡2 in ´(x0; ¢ ¢ ¢ ; xe¡2)
    is less than p¡1. It is shown that if '(a0(t); ¢ ¢ ¢ ; ae¡1(t)) = 0
    if and only if '(b0(t); ¢ ¢ ¢ ; be¡1(t)) = 0 for all nonnegative
    integer t with ®(t) 6= 0, where ®, is an m-sequence de-
    termined by f(x) and a0, then a = b. In particular, when
    ´(x0; ¢ ¢ ¢ ; xe¡2) = 0, it is just the former result on the unique
    distribution of zeros in the highest level sequences.
    • FullText(HTML)
    • References (0)
    • Related Articles

  • Related Articles

    [1]Zhao Heng, Ban Yong-Ling, Liu Yanhui, Hu Jun. Scanning Beam Synthesis of Uniform Amplitude Sparse Concentric Ring Arrays Based on Ring Attitude Correction[J]. Chinese Journal of Electronics. DOI: 10.23919/cje.2024.00.172
    [2]Zhao Heng, Ban Yongling, Liu Yanhui, Hu Jun. Scanning Beam Synthesis of Uniform Amplitude Sparse Concentric Ring Arrays Based on Ring Attitude Correction[J]. Chinese Journal of Electronics. DOI: 10.23919/cje.2024.00.216
    [3]LI Hongliang, DAI Feng, ZHAO Qiang, MA Yike, CAO Juan, ZHANG Yongdong. Non-uniform Compressive Sensing Imaging Based on Image Saliency[J]. Chinese Journal of Electronics, 2023, 32(1): 159-165. DOI: 10.23919/cje.2019.00.028
    [4]YUAN Yong, CHEN Chen, HU Xiyuan, PENG Silong. CNQ: Compressor-Based Non-uniform Quantization of Deep Neural Networks[J]. Chinese Journal of Electronics, 2020, 29(6): 1126-1133. DOI: 10.1049/cje.2020.09.014
    [5]PENG Hu, WU Zhijian, DENG Changshou. Enhancing Differential Evolution with Commensal Learning and Uniform Local Search[J]. Chinese Journal of Electronics, 2017, 26(4): 725-733. DOI: 10.1049/cje.2016.11.010
    [6]SUN Xiaobing, LI Bixin, LI Bin, CHEN Ying. SE-FCA: A Model of Software Evolution with Formal Concept Analysis[J]. Chinese Journal of Electronics, 2015, 24(1): 13-19.
    [7]YU Yuyin, WANG Mingsheng, LI Yongqiang. Constructing Differentially 4 Uniform Permutations from Known Ones[J]. Chinese Journal of Electronics, 2013, 22(3): 495-499.
    [8]Uniform Solution to QSAT by P Systems with Proteins[J]. Chinese Journal of Electronics, 2012, 21(4): 667-672.
    [9]GUO Haiyan, YANG Zhen, ZHU Weiping, YE Lei. Single-channel Speech Separation by l0 Optimization Using Quasi-KLT Bases[J]. Chinese Journal of Electronics, 2012, 21(3): 535-540.
    [10]ZHONG Wei, SHI Guangming, XIE Xuemei, CHEN Xuyang. Design of M-Channel Uniform Linear-Phase Filter Banks with Partial Cosine Modulation[J]. Chinese Journal of Electronics, 2009, 18(3): 477-480.

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1258) PDF downloads (1002) Cited by()
    Related

    Links

    IEEE CJE Homepage CNKI Chinese Institute of Electronics Journal of Semiconductors
    E-mail Alert RSS

    Chinese Journal of Electronics

    (Bimonthly)

    ISSN    1022-4653CN  10-1284/TN

    eISSN  2075-5597CODEN CHJEEW

    CJE QR CODE

    CIE QR CODE

    Copyright © Editorial Office of Chinese Journal of Electronics | 京ICP备12041980号-1 | Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return