Sampling and discretization of the linear canonical transform

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 rang...

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Veröffentlicht in:	Signal processing 2009-04, Vol.89 (4), p.641-648
Hauptverfasser:	Healy, John J., Sheridan, John T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Approximation Discretization DLCT Exact sciences and technology FFT FLCT Information, signal and communications theory LCT Mathematical analysis Mathematical models Miscellaneous Sampling Sampling, quantization Signal and communications theory Signal processing Telecommunications and information theory Transforms
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Zusammenfassung:	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.
ISSN:	0165-1684 1872-7557
DOI:	10.1016/j.sigpro.2008.10.011