This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Collins S A. Lens-system diffraction integral written in terms of matrix optics. J Opt Soc Am, 1970, 60: 1168–1177
Xu T Z, Li B Z. Linear Canonical Transform and its Application. Beijing: Science Press, 2013. 291–324
Healy J J, Kutay M A, Ozaktas H M, et al. Linear Canonical Transform: Theory and Applications. New York: Springer, 2016. 197–240
Hennelly B M, Sheridan J T. Fast numerical algorithm for the linear canonical transform. J Opt Soc Am A, 2005, 22: 928–937
Koc A, Ozaktas H M, Candan C, et al. Digital computation of linear canonical transforms. IEEE Trans Signal Process, 2008, 56: 2383–2394
Pei S C, Huang S G. Fast discrete linear canonical transform based on CM-CC-CM decomposition and FFT. IEEE Trans Signal Process, 2016, 64: 855–866
Goertzel G. An algorithm for the evaluation of finite trigonometric series. Am Math Mon, 1958, 65: 34–35
This work was supported by National Natural Science Foundation of China (Grant No. 61671063) and Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 61421001).
Electronic supplementary material
About this article
Cite this article
Sun, Y., Li, B. Digital computation of linear canonical transform for local spectra with flexible resolution ability. Sci. China Inf. Sci. 62, 49301 (2019). https://doi.org/10.1007/s11432-018-9585-1