北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2016, Vol. 39 ›› Issue (6): 1-10.doi: 10.13190/j.jbupt.2016.06.001

• 论文 •    下一篇

重叠复用原理下加性白高斯噪声信道的容量

李道本   

  1. 北京邮电大学 信息与通信工程学院, 北京 100876
  • 收稿日期:2016-12-02 出版日期:2016-12-28 发布日期:2016-12-28
  • 作者简介:李道本(1939-),男,教授,博士生导师,E-mail:lidaoben2014@163.com.
  • 基金资助:
    北京邮电大学校基金项目(2016XD-01)

Channel Capacity on Additive White Gaussian Noise Channel under Overlapped Multiplexing Principle

LI Dao-ben   

  1. School of Information and Communication, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2016-12-02 Online:2016-12-28 Published:2016-12-28
  • Supported by:
     

摘要: 为建立超大容量通信系统提供全新的理论依据,证明了在高斯白噪声干扰环境下,当信道传输函数Hf)的单边带宽限定为B时,仙侬仅利用时间域间隔为1/2B的独立样点荷载信息是不够的,还应该根据重叠复用原理,同时使用频率域间隔为B/K独立样点的重叠频域复用技术,使系统容量与K成正比.由于带宽为B信道冲击响应的持续时间T趋近于无穷,频率域独立样点间隔1/T为0,K不受限制;同理,当信道冲激响应函数ht)的持续时间限定为T时,像正交频分复用那样仅利用频率域间隔为1/T的独立样点去荷载信息是不够的,还应该根据重叠复用原理,用时间域间隔为T/K独立样点的重叠时域复用技术,使系统容量与K成正比.由于冲击响应持续时间为T信道的带宽B趋近于无穷,时间域独立样点间隔1/2B为0,所以K不受限制.此外,还证明了重叠复用的实质是建立超大容量的独立并联高斯信道.

关键词: 重叠复用原理, 独立并联高斯信道, 重叠时域复用技术, 重叠频域复用技术, 重叠X域复用技术, 信道容量

Abstract: In order to offer a new theoretical foundation for constructing huge capacity communication system without increasing system bandwidth, it has been verified that under additive white Gaussian noise environment, if the transfer function H(f) of the channel has a limited bandwidth B (single side), the duration T of the impulse response function h(t) goes to infinite, the space between independent samples are 1/2B and 0 respectively in time and frequency domain. It is not sufficient to only employ independent signaling samples separated by 1/2B Sec in time domain like Shannon, it should be also to employ independent signaling samples separated by B/K Hz in frequency domain. In this way, the channel capacity is proportional to K. Since the space between independent samples is 0 in frequency domain, K has no limited. The Shannon capacity is only a special case of ignoring the independent signaling samples in frequency domain (K=1). Similarly if the impose response function h(t) of the channel has a limited time duration T, the bandwidth B of the transfer function H(f) goes to infinite, the space between independent samples are 0 and 1/T respectively in time and frequency domain. It is not sufficient to only employ independent signaling samples separated by 1/T Hz in frequency domain like orthogonal frequency division multiplexing, it should be also to employ independent signaling samples separated by T/K Sec in time domain. Similarly, the channel capacity is proportional to K. Since the space between independent samples is 0 in time domain, K has no limited. And the essential of overlapped multiplexing principle is to construct independent parallel Gaussian channels.

Key words: overlapped multiplexing principle, independent parallel Gaussian channels, overlapped time domain multiplexing, overlapped frequency domain multiplexing, overlapped X domain multiplexing, channel capacity

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