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Computation of the Short-Time Linear Canonical Transform with Dual Window

机译：双窗口短时线性规范变换的计算

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摘要

The short-time linear canonical transform(STLCT), whichmaps the time domain signal into the joint time and frequency domain, has recently attracted some attention in the area of signal processing. However, its applications are still limited due to the fact that selection of coefficients of the short-time linear canonical series (STLCS) is not unique, because time and frequency elementary functions (together known as basis function) of STLCS do not constitute an orthogonal basis. To solve this problem, this paper investigates a dual window solution. First, the nonorthogonal problem that suffered fromoriginal window is fulfilled by orthogonal condition with dual window. Then based on the obtained condition, a dual window computation approach of the GT is extended to the STLCS. In addition, simulations verify the validity of the proposed condition and solutions. Furthermore, some possible applied directions are discussed.
机译：将时域信号映射到联合时域和频域的短时线性规范变换（STLCT）近来引起了信号处理领域的关注。但是，由于短时线性典范级数（STLCS）的系数选择不是唯一的，因此它的应用仍然受到限制，因为STLCS的时间和频率基本函数（统称为基函数）不构成正交基础。为了解决这个问题，本文研究了双窗口解决方案。首先，具有双重窗口的正交条件可以满足原始窗口所遇到的非正交问题。然后根据获得的条件，将GT的双窗口计算方法扩展到STLCS。此外，仿真验证了提出的条件和解决方案的有效性。此外，讨论了一些可能的应用方向。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第9期|4127875.1-4127875.8|共8页
  • 作者

    Huang Lei; Zhang Ke; Chai Yi; Xu Shuiqing;

  • 作者单位

    Chongqing Univ, Coll Automat, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China;

    Chongqing Univ, Coll Automat, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China;

    Chongqing Univ, Coll Automat, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China;

    Chongqing Univ, Coll Automat, State Key Lab Power Transmiss Equipment & Syst Se, Chongqing 400044, Peoples R China;

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