caa a22 4500 606205519 CHVBK 20210128101007.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00034-015-0053-1 doi (NATIONALLICENCE)springer-10.1007/s00034-015-0053-1 Spectral Analysis of Sampled Band-Limited Signals in the Offset Linear Canonical Transform Domain [Elektronische Daten] [Shuiqing Xu, Yi Chai, Youqiang Hu] The spectral analysis of sampled signals is one of the fundamental topics in the signal processing community. The properties and applications of uniformly and periodic nonuniformly sampled one- or two-dimensional signals in the traditional Fourier domain have been extensively studied. As the offset linear canonical transform (OLCT) has been shown to be a powerful tool for signal processing and optics, it is therefore worthwhile and interesting to consider the spectral analysis of sampled signals in the OLCT domain. In this paper, we investigate the spectrum of uniformly and periodic nonuniformly sampled one- and two-dimensional signals in the OLCT domain. First, the general spectral representation of uniformly sampled one-dimensional signals has been obtained. The reconstruction formula for uniform sampling from one-dimensional signal also has been performed. Based on the results, these theories are all extended to the two-dimensional case. Second, the digital spectra of periodic nonuniformly sampled one- and two-dimensional signals have been derived analytically. Finally, exhaustive analysis of sampled chirp signals in the OLCT domain has been carried out, and the simulations are presented to verify the correctness of the the results. Springer Science+Business Media New York, 2015 Offset linear canonical transform nationallicence Spectral analysis nationallicence Periodic nonuniform sampling nationallicence Chirp signal nationallicence Xu Shuiqing State Key Laboratory of Power Transmission Equipment and System Security and New Technology, College of Automation, Chongqing University, 400044, Chongqing, China aut Chai Yi State Key Laboratory of Power Transmission Equipment and System Security and New Technology, College of Automation, Chongqing University, 400044, Chongqing, China aut Hu Youqiang College of Automation, Chongqing University, 400044, Chongqing, China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3979-3997 0278-081X 34:12<3979 2015 34 34 https://doi.org/10.1007/s00034-015-0053-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-0053-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Xu Shuiqing State Key Laboratory of Power Transmission Equipment and System Security and New Technology, College of Automation, Chongqing University, 400044, Chongqing, China aut NATIONALLICENCE 700 1- Chai Yi State Key Laboratory of Power Transmission Equipment and System Security and New Technology, College of Automation, Chongqing University, 400044, Chongqing, China aut NATIONALLICENCE 700 1- Hu Youqiang College of Automation, Chongqing University, 400044, Chongqing, China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3979-3997 0278-081X 34:12<3979 2015 34 34