Vector sampling expansions and linear canonical transform

IEEE Signal Processing Letters

Volumn 18, Issue 10, 2011, Pages 583-586

  Sharma, K K ^a  

^a MALAVIYA NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Fractional Fourier transform; linear canonical transform; vector sampling expansion

Indexed keywords

BAND-LIMITED SIGNAL; BANDLIMITED; FOURIER DOMAINS; FRACTIONAL FOURIER TRANSFORMS; LINEAR CANONICAL TRANSFORM; LINEAR TIME-INVARIANT SYSTEM; M-SYSTEMS; MULTI-INPUT MULTI-OUTPUT; NUMBER OF SAMPLES; VECTOR SAMPLING;

EXPANSION; MIMO SYSTEMS; SIGNAL ANALYSIS; SIGNAL RECONSTRUCTION;

FOURIER TRANSFORMS;

EID: 80052071913     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2011.2163393     Document Type: Article

References (20)

1. A. Papoulis, "Generalized sampling expansion", IEEE Trans. Circuits Syst., vol. CAS-24, no. 11, pp. 652-654, Nov. 1977.
2. J. L. Brown, Jr., "Multi-channel sampling of low-pass signals", IEEE Trans. Circuits Syst., vol. CAS-28, no. 2, pp. 101-106, Feb. 1981.
3. R. J. Marks, II, Advanced Topics in Shannon Sampling and Interpolation Theory. New York: Springer-Verlag, 1993.
4. K. K. Sharma and S. D. Joshi, "Papoulis-like generalized sampling expansions in fractional Fourier domains and its application to superresolution", Optics Commun., vol. 278, pp. 52-59, 2007. (Pubitemid 47238147)
5. D. Wei, Q. Ran, and Y. Li, "Generalized sampling expansion for bandlimited signals associated with the fractional Fourier transform", IEEE Signal. Process. Lett., vol. 17, no. 6, pp. 595-598, Jun. 2010.
6. D. Seidner, M. Feder, D. Cubanski, and S. Blackstock, "Introduction to vector sampling expansion", IEEE Signal. Process. Lett., vol. 5, no. 5, pp. 115-117, May 1998. (Pubitemid 128607813)
7. D. Seidner, M. Feder, D. Cubanski, and S. Blackstock, "Vector sampling expansion", IEEE Trans. Signal. Process., vol. 48, no. 5, pp. 1401-1416, May 2000.
8. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform With Applications in Optics and Signal Processing. Chichester, U. K.: Wiley, 2001, p. 111.
9. A. Stern, "Sampling of linear canonical transformed signals", Signal. Process., vol. 86, no. 7, pp. 1421-1425, 2006.
10. K. K. Sharma and S. D. Joshi, "Signal reconstruction from the undersampled signal samples", Optics Commun., vol. 268, pp. 245-252, 2006.
11. B.-Z. Li, R. Tao, and Y. Wang, "New sampling formulae related to linear canonical transform", Signal. Process., vol. 87, pp. 983-990, 2007. (Pubitemid 46186523)
12. B. Barshan, M. A. Kutay, and H. M. Ozaktas, "Optimal filtering with linear canonical transformations", Optics Commun., vol. 135, no. 1-3, pp. 32-36, Feb. 1997. (Pubitemid 127413994)
13. S.-C. Pei and J.-J. Ding, "Eigenfunctions of linear canonical transform", IEEE Trans. Signal. Process., vol. 50, no. 1, pp. 11-25, Jan. 2002.
14. J. J. Healy and J. T. Sheridan, "Cases where the linear canonical transform of a signal has compact support or is band-limited", Opt. Lett., vol. 33, no. 3, pp. 228-230.
15. X.-G. Xia, "On bandlimited signals with fractional Fourier transform", IEEE Signal Process. Lett., vol. 3, no. 3, pp. 72-74, Mar. 1996. (Pubitemid 126534572)
16. A. I. Zayed and A. G. Garcia, "New sampling formulae for the fractional Fourier transform", Signal. Process., vol. 77, no. 1, pp. 111-114, Aug. 1999.
17. C. Candan and H. M. Ozaktas, "Sampling and series expansion theorems for fractional Fourier and other transforms", Signal Process., vol. 83, no. 11, pp. 2455-2457, Nov. 2003.
18. A. E. Cetin, H. Ozaktas, and H. M. Ozaktas, "Resolution enhancement of low resolution wavefields with POCS algoithm", Electron. Lett., vol. 39, no. 25, Dec. 2003.
19. M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onural, "Optimal filtering in fractional Fourier domains", IEEE Trans. Signal Process., vol. 45, no. 5, pp. 2141-2150, May 1997.
20. H. M. Ozaktas and B. Barshan, "Convolution, filtering, and multiplexing in fractional Fourier domains and their relationship to chirp and wavelet transforms", J. Opt. Soc. Amer. A, vol. 11, pp. 547-559, 1994.