Time-frequency localization as mother wavelet selecting criterion for wavelet modulation

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• 作者：Alexandru Isar ; Marius Oltean
• 关键词：Time ; frequency localization ; Orthogonal modulation ; Fading channels ; Wavelets ; Wavelet modulation
• 刊名：Annals of Telecommunications
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：71
• 期：1-2
• 页码：35-46
• 全文大小：1,437 KB
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• 作者单位：Alexandru Isar (1)
  Marius Oltean (1)
  
  1. “Politehnica” University of Timisoara, B-dul V. Parvan, 30023, Timisoara, Romania
  
• 刊物类别：Engineering
• 刊物主题：Engineering, general
  Electronic and Computer Engineering
  
• 出版者：Springer Paris
• ISSN：1958-9395

文摘

Throughout recent years, the discrete wavelet transform (DWT) was used in communications for wavelet modulation (WM). One of its features is the mother wavelets (MW) used. An important number of MW were already proposed in the literature. We investigate in this paper the selection of the MW for the WM, on the basis of its time-frequency localization. We prove, with the aid of Balian-Low theorem, that wavelets have better time-frequency localization than the elements of the bases which are used for signal decomposition in other orthogonal modulation techniques, as, for example, in orthogonal frequency division multiplexing (OFDM). A procedure for the evaluation of the time-frequency localization of MW belonging to Daubechies family is proposed. This procedure is next compared against the WM transmission on different channel types, which reveal the best MW to be used. This advantage of the WM versus OFDM is highlighted by simulation results in fading channels. Keywords Time-frequency localization Orthogonal modulation Fading channels Wavelets Wavelet modulation