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Title: New sampling theorem and multiplicative filtering in the FRFT domain
Author: Anh, P. K.
Castro, Luís P.
Thao, P. T.
Tuan, N. M.
Keywords: Sampling theorem
Multiplicative filter
Signal processing
Fractional Fourier transform
Issue Date: 2019
Publisher: Springer Verlag
Abstract: Having in consideration a fractional convolution associated with the fractional Fourier transform (FRFT), we propose a novel reconstruction formula for bandlimited signals in the FRFT domain without using the classical Shannon theorem. This may be considered the main contribution of this work, and numerical experiments are implemented to demonstrate the effectiveness of the proposed sampling theorem. As a second goal, we also look for the designing of multiplicative filters. Indeed, we also convert the multiplicative filtering in FRFT domain to the time domain, which can be realized by Fast Fourier transform. Two concrete examples are included where the use of the present results is illustrated.
Peer review: yes
DOI: 10.1007/s11760-019-01432-5
ISSN: 1863-1703
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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