The non-separable linear canonical transform (NSLCT) is a remarkable addition to the class of integral transforms which is based on generic $2n\times 2n$ free, symplectic matrix $\mathbf{M}$ with $n(2n+1)$ degrees of freedom. However, the NSLCT is inadequate for localized analysis of non-transient signals, particularly chirp-like signals. In the present article, we introduce a novel integral transform coined as the non-separable windowed linear canonical transform (NSWLCT), which is endowed with higher degrees of freedom primarily meant for an efficient localized analysis of chirp signals. Firstly, we provide the time-frequency analysis of the proposed transform in the non-separable LCT domain. Secondly, we investigate the basic properties of the proposed transform including the orthogonality relation, inversion formula and the range theorem. Finally, we present examples of some well-known window functions in the non-separable LCT domain.

不可分线性正则变换 (NSLCT) 是对基于泛型的积分变换类别的显着补充 $2n\times 2n$ 自由的辛矩阵 $\mathbf{米}$ 和 $n(2n+1)$自由程度。然而，NSLCT 不足以局部分析非瞬态信号，尤其是类啁啾信号。在本文中，我们介绍了一种新的积分变换，称为不可分离窗口线性规范变换 (NSWLCT)，它具有更高的自由度，主要用于对啁啾信号进行有效的局部分析。首先，我们在不可分离的 LCT 域中提供了所提出的变换的时频分析。其次，我们研究了所提出的变换的基本性质，包括正交关系、反演公式和范围定理。最后，我们展示了不可分离 LCT 域中一些众所周知的窗函数的例子。