Abstract
In this paper, the issues related to the compact support and bandlimitedness of signals in the 2D-nonseparable linear canonical transform (NSLCT) domains are addressed. It is seen that for some specific values of the parameters of the 2D-NSLCT, the area of the support of the 2D-NSLCT of a signal or its modified version can be less than the area of the support of the 2D-conventional Fourier transform (2D-CFT) of the signal. Similarly, swapping of support of the 2D-conventional Fourier transform of a signal can be achieved using the 2D-NSLCT. These results related to the compact support are intimately connected with the sampling theory of 2D-signals. A sampling theorem for signals bandlimited in the 2D-nonseparable linear canonical transform domains is also presented. It is seen that perfect reconstruction of signals can be achieved at sampling rates less than the Nyquist rate (based on the bandwidth in the conventional Fourier transform domain) under some specific values of the parameters of the 2D-NSLCT.
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Sharma, K.K., Sharma, L. & Sharma, S. On bandlimitedness of signals in the 2D-nonseparable linear canonical transform domains. SIViP 9, 941–946 (2015). https://doi.org/10.1007/s11760-013-0529-z
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DOI: https://doi.org/10.1007/s11760-013-0529-z