Abstract
We introduce the continuous and discrete versions of multi-dimensional linear canonical wave packet transform with the non-separable kernel. At first, we establish a relationship between the non-separable linear canonical wave packet transform (NSLCWPT) and n-dimensional windowed Fourier transform (WFT) and then establish the fundamental results like reconstruction formula, orthogonality relation and some bounds for the NSLCWPT. Some examples were also provided for the enhancement of our proposed transform. We apply the discrete version of the NSLCWPT in the context of the almost periodic functions. At last, a simple conclusion is given, which provides the idea for future work.
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Bhat, Y.A., Sheikh, N.A. Non-separable linear canonical wave packet transform. Comp. Appl. Math. 43, 228 (2024). https://doi.org/10.1007/s40314-024-02747-x
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DOI: https://doi.org/10.1007/s40314-024-02747-x
Keywords
- Non-separable linear canonical transform
- Wave packet transform
- Almost periodic functions
- Discrete linear canonical transform