【摘要】 作为一种新兴的信号处理工具,线性正则变换相对于Fourier变换及其广义形式(分数阶Fourier变换)具有更强的灵活性,因此在某些用后者无法妥善处理的问题中能够得到更好的处理效果。本文从线性正则变换(LCT)的定义出发,首先阐述了它的基本性质,然后就其离散形式进行了讨论,最后对线性正则变换的应用作了举例说明,展现了其在信号处理领域的潜力和能力。更多还原

【Abstract】 As an emerging tool for signal processing,the linear canonical transform(LCT) proves itself to be more general and flexible than the Fourier transform as well as the fractional Fourier transform.So it can slove problems that can’t be dealt with well by the latter.In this paper,the definition of LCT and some special cases are given at first,followed by its properties as listed.Besides,the discrete linear canonical transform is introduced.The implication of LCT is illustrated finally,displaying(LCT’s) potentials and capabilities in the field of signal processing.更多还原