Sampling 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

BANDPASS SIGNALS; FOURIER DOMAINS; GENERALIZED HILBERT TRANSFORMS; LINEAR CANONICAL TRANSFORM; SAMPLING RATES; SAMPLING THEOREMS;

ENGINEERING; MATHEMATICAL TECHNIQUES;

INTERPOLATION;

EID: 84864957740     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2012/504580     Document Type: Article

References (32)

1. Zayed A. I., Advances in Shannon's Sampling Theory 1993 Boca Raton, Fla, USA CRC Press
2. Marvasti F., Nonuniform Sampling Theory and Practice 2001 New York, NY, USA Kluwer Academic/Plenum Publishers Information Technology: Transmission, Processing and Storage
3. Unser M., Sampling50 years after Shannon Proceedings of the IEEE 2000 88 4 569 587
4. Li M., Cattani C., Chen S. Y., Viewing sea level by a one-dimensional random function with long memory Mathematical Problems in Engineering 2011 2011 13
5. Bakhoum E. G., Toma C., Specific mathematical aspects of dynamics generated by coherence functions Mathematical Problems in Engineering 2011 2011 10
6. Chen S. Y., Li Y. F., Determination of stripe edge blurring for depth sensing IEEE Sensors Journal 2011 11 2 389 390
7. Daubechies I., Ten Lectures on Wavelets 1992 61 Philadelphia, Pa, USA Society for Industrial and Applied Mathematics CBMS-NSF Regional Conference Series in Applied Mathematics
8. Li B. Z., Xu T. Z., Parseval relationship of samples in the fractional Fourier transform domain Journal of Applied Mathematics 2012 2012 19
9. Zhang Q., A note on operator sampling and fractional Fourier transform Mathematical Problems in Engineering 2011 2011 9
10. Tao R., Deng B., Wang Y., Fractional Fourier Transform and Its Applications 2009 Tisinghua University Press
11. Chen S. Y., Tong H., Cattani C., Markov models for image labeling Mathematical Problems in Engineering 2012 2012 18
12. Cattani C., Fractional calculus and Shannon wavelets Mathematical Problems in Engineering 2012 2012
13. Lim S. C., Eab C. H., Mak K. H., Li M., Chen S. Y., Solving linear coupled fractional differential equations by direct operational method and some applications Mathematical Problems in Engineering 2012 2012 28
14. Wolf K. B., Integral Transforms in Science and Engineering 1979 11 New York, NY, USA Plenum Press Mathematical Concepts and Methods in Science and Engineering
15. Sharma K. K., Joshi S. D., Uncertainty principle for real signals in the linear canonical transform domains IEEE Transactions on Signal Processing 2008 56 7 I 2677 2683
16. 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
17. 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)
18. Pei S. C., Ding J. J., Eigenfunctions of linear canonical transform IEEE Transactions on Signal Processing 2002 50 1 11 26
19. Wei D., Ran Q., Li Y., Ma J., Tan L., A convolution and product theorem for the linear canonical transform IEEE Signal Processing Letters 2009 16 10 853 856
20. Li B. Z., Tao R., Wang Y., Hilbert transform associated with the linear canonical transform ACTA Armamentarii 2006 27 5 827 830 (Pubitemid 44765982)
21. Fu Y., Li L., Generalized analytic signal associated with linear canonical transform Optics Communications 2008 281 6 1468 1472
22. Sharma K. K., Joshi S. D., Signal separation using linear canonical and fractional Fourier transforms Optics Communications 2006 265 2 454 460 (Pubitemid 44302151)
23. Barshan B., Kutay M. A., Ozaktas H. M., Optimal filtering with linear canonical transformations Optics Communications 1997 135 13 32 36 (Pubitemid 127413994)
24. Li B. Z., Xu T. Z., Spectral analysis of sampled signals in the linear canonical transform domain Mathematical Problems in Engineering 2012 2012 11
25. Ko A., Ozaktas H. M., Candan C., Kutay M. A., Digital computation of linear canonical transforms IEEE Transactions on Signal Processing 2008 56 6 2383 2394 (Pubitemid 351801719)
26. Healy J. J., Sheridan J. T., Sampling and discretization of the linear canonical transform Signal Processing 2009 89 4 641 648
27. 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
28. Li B. Z., Tao R., Wang Y., New sampling formulae related to linear canonical transform Signal Processing 2007 87 5 983 990 (Pubitemid 46186523)
29. Sharma K. K., Approximate signal reconstruction using nonuniform samples in fractional fourier and linear canonical transform domains IEEE Transactions on Signal Processing 2009 57 11 4573 4578
30. Wei D., Ran Q., Li Y., Multichannel sampling and reconstruction of bandlimited signals in the linear canonical transform domain IET Signal Processing 2011 5 8 717 727
31. Liu Y. L., Kou K. I., Ho I. T., New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms Signal Processing 2010 90 3 933 945
32. Yao K., Thomas J. B., On some stability and interpolatory properties of nonuniform sampling expansions IEEE Transactions on Circuit Theory 1967 CT-14 404 408