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- W2782850731 abstract "In this paper, we consider the performance of sampling associated with the linear canonical transform (LCT), which generalizes a large number of classical integral transforms and fundamental operations linked to signal processing and optics. First, we revisit sampling approximation in the LCT domain to introduce a generalized approximation operator. Then, we derive an exact closed-form expression for the integrated squared error that occurs when a signal is approximated by a basis of shifted, scaled, and chirp-modulated versions of a generating function in the LCT domain. Several basic properties of the approximation error are presented. The derived results can be applied to a wide variety of sampling approximation schemes in the LCT domain. Finally, experimental examples are given to illustrate the theoretical derivations." @default.
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- W2782850731 date "2018-01-01" @default.
- W2782850731 modified "2023-10-12" @default.
- W2782850731 title "Error Analysis of Reconstruction From Linear Canonical Transform-Based Sampling" @default.
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- W2782850731 doi "https://doi.org/10.1109/tsp.2018.2793866" @default.
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