References
- Abe S, Sheridan JT. Generalization of the fractional Fourier transformation to an arbitrary linear lossless transformation: an operator approach. J Phys. 1994;27(12):4179–4187.
- Healy JJ, Kutay MA, Ozaktas HM, et al. Linear canonical transforms: theory and applications. New York (NY): Springer; 2016.
- Cai LZ. Special affine Fourier transformation in frequency-domain. Opt Commun. 2000;185:271–276.
- Bhandari A, Zayed AI. Shift-invariant and sampling spaces associated with the special affine Fourier transform. Appl Comput Harmon Anal. 2019;47:30–52.
- Qiang X, Zhen HQ, Yu QK. Multichannel sampling of signals band-limited in offset linear canonical transform domains. Circuits Systems Signal Process. 2013;32(5):2385–2406.
- Xiang Q, Qin K. Convolution, correlation, and sampling theorems for the offset linear canonical transform. Signal Image Video Process. 2014;8(3):433–442.
- Shah FA, Teali AA, Tantary AY. Windowed special affine Fourier transform. J Pseudo-Differ Oper Appl. 2020;11(3):1389–1420.
- Shah FA, Tantary AY, Zayed AI. A convolution-based special affine wavelet transforms. Integral Transforms Spec Funct. 2021;32:780–800.
- Shah FA, Teali AA, Tantary AY. Special affine wavelet transform and the corresponding Poisson summation formula. Int J Wavelets Multiresolut Inf Process. 2021;19(3):2050086.
- Mallat SG. Multiresolution approximations and wavelet orthonormal bases of L2(R). Trans Amer Math Soc. 1989;315:69–87.
- Daubechies I. Ten lectures on wavelets. Chicago: SIAM; 1992.
- Debnath L, Shah FA. Wavelet transforms and their applications. New York (NY): Birkhäuser; 2015.
- Debnath L, Shah FA. Lecture notes on wavelet transforms. Boston (MA): Birkhäuser; 2017.
- Shah FA, Lone WZ, Mejjaoli H. Nonuniform multiresolution analysis associated with linear canonical transform. J Pseudo-Differ Oper Appl. 2021;12(21):1–35.
- Srivastava HM, Shah FA, Lone WZ. Fractional nonuniform multiresolution analysis in L2(R). J Math Methods Appl Sci. 2021;44(11):9351–9372.
- Wei D, Li YM. Convolution and multichannel sampling for the offset linear canonical transform and their applications. IEEE Trans Sig Process. 2019;67(23):6009–6024.
- Wei D, Yang W, Li YM. Lattices sampling and sampling rate conversion of multidimensional bandlimited signals in the linear canonical transform domain. J Franklin Inst. 2019;356:7571–7607.
- Bhandari A, Eldar YC. Sampling and super-resolution of sparse signals beyond the Fourier domain. IEEE Trans Sig Process. 2019;67(6):46939340.
- Wei D, Hu H. Sparse discrete linear canonical transform and its applications. Signal Process. 2021;183:108046.
- Wang J, Wang Y, Wang W, et al. Discrete linear canonical wavelet transform and its applications. EURASIP J Adv Signal Process. 2018;2018:29. doi:10.1186/s13634-018-0550-z .
- Shi J, Zhang NT, Liu XP. A novel fractional wavelet transform and its applications. Sci China Inf Sci. 2012;54(6):1270–1279.