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Sampling and discretization of the linear canonical transform. (English) Zbl 1157.94332

Summary: The numerical approximation of the linear canonical transform (LCT) is of importance in modeling first order optical systems and many signal processing applications. We have considered an approach based on discretizing the continuous LCT, making careful consideration of the consequences for the range and resolution of the output.

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
65T60 Numerical methods for wavelets

Keywords:

LCT; sampling; DLCT; FLCT; FFT

Software:

FFTW
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Full Text: DOI

References:

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