Spectral analysis of sampled signals in the linear canonical transform domain

Mathematical Problems in Engineering

Volumn 2012, Issue , 2012, Pages

  Li, Bing Zhao ^a   Xu, Tian Zhou ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHIRP SIGNALS; FOURIER DOMAINS; GENERAL SPECTRAL; LINEAR CANONICAL TRANSFORM; NONUNIFORM SAMPLING; RESEARCH PAPERS; TWO-DIMENSIONAL SIGNALS; UNIFORM SAMPLING;

DIGITAL SIGNAL PROCESSING; SPECTRUM ANALYSIS; TWO DIMENSIONAL;

SIGNAL SAMPLING;

EID: 84861083703     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2012/536464     Document Type: Article

References (24)

1. Marvasti F., Nonuniform Sampling Theory and Practice 2000 New York, NY, USA Kluwer Academic
2. Jerri A. J., The Shannon sampling theorem-its various extensions and applications: a tutorial review Proceedings of the IEEE 1977 65 11 1565 1598
3. Unser M., Sampling-50 years after Shannon Proceedings of the IEEE 2000 88 4 569 587
4. Feuer A., Goodwin G. C., Reconstruction of multidimensional bandlimited signals from nonuniform and generalized samples IEEE Transactions on Signal Processing 2005 53 11 4273 4282 (Pubitemid 41622558)
5. Jenq Y. C., Digital spectra of nonuniformly sampled signals: fundamentals and high-speed waveform digitizers IEEE Transactions on Instrumentation and Measurement 1988 37 2 245 251
6. Jenq Y. C., Cheng L., Digital spectrum of a nonuniformly sampled two-dimensional signal and its reconstruction IEEE Transactions on Instrumentation and Measurement 2005 54 3 1180 1187 (Pubitemid 40843544)
7. Stern A., Why is the linear canonical transform so little known? Proceedings of the 5th International Workshop on Information Optics (WIO '06) June 2006 225 234 AIP Conference Proceedings
8. Tao R., Deng B., Wang Y., Fractional Fourier Transform and its Applications 2009 Tisinghua University Press
9. Huang N. E., Shen Z., Long S. R., Wu M. C., Snin H. H., Zheng Q., Yen N. C., Tung C. C., Liu H. H., The empirical mode decomposition and the Hubert spectrum for nonlinear and non-stationary time series analysis Proceedings of the Royal Society A 1998 454 1971 903 995 (Pubitemid 128733183)
10. Bultheel A., Martnez-Sulbaran H., Recent developments in the theory of the fractional Fourier and linear canonical transforms Bulletin of the Belgian Mathematical Society 2006 13 5 971 1005
11. Zhao J., Tao R., Li Y.-L., Wang Y., Uncertainty principles for linear canonical transform IEEE Transactions on Signal Processing 2009 57 7 2856 2858
12. Stern A., Uncertainty principles in linear canonical transform domains and some of their implications in optics Journal of the Optical Society of America A 2008 25 3 647 652 (Pubitemid 351736195)
13. Wei D., Li Y., A convolution and product theorem for the linear canonical transform IEEE Signal Processing Letters 2009 16 10 853 856
14. Fu Y., Li L., Generalized analytic signal associated with linear canonical transform Optics Communications 2008 281 6 1468 1472
15. Li B.-Z., Tao R., Wang Y., Hilbert transform associated with the linear canonical transform Acta Armamentarii 2006 27 5 827 830 (Pubitemid 44765982)
16. Guanlei X., Xiaotong W., Xiaogang X., Generalized Hilbert transform and its properties in 2D LCT domain Signal Processing 2009 89 7 1395 1402
17. Li B.-Z., Tao R., Xu T.-Z., Wang Y., The Poisson sum formulae associated with the fractional Fourier transform Signal Processing 2009 89 5 851 856
18. Stern A., Sampling of linear canonical transformed signals Signal Processing 2006 86 7 1421 1425
19. Tao R., Li B.-Z., Wang Y., Aggrey G. K., On sampling of band-limited signals associated with the linear canonical transform IEEE Transactions on Signal Processing 2008 56 11 5454 5464
20. Li B.-Z., Tao R., Wang Y., New sampling formulae related to linear canonical transform Signal Processing 2007 87 5 983 990 (Pubitemid 46186523)
21. Wei D., Ran Q., Li Y., Reconstruction of band-limited signals from multichannel and periodic nonuniform samples in the linear canonical transform domain Optics Communications 2011 284 19 4307 4315
22. Wei D., Ran Q., Li Y., Multichannel sampling expansion in the linear canonical transform domain and its application to superresolution Optics Communications 2011 284 23 5424 5429
23. Eldar Y. C., Oppenheim A. V., Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples IEEE Transactions on Signal Processing 2000 48 10 2864 2875
24. Tao R., Li B.-Z., Wang Y., Spectral analysis and reconstruction for periodic nonuniformly sampled signals in fractional Fourier domain IEEE Transactions on Signal Processing 2007 55 7 3541 3547 (Pubitemid 47018836)