Multichannel sampling and reconstruction of bandlimited signals in fractional Fourier domain

IEEE Signal Processing Letters

Volumn 17, Issue 11, 2010, Pages 909-912

  Shi, Jun ^a   Chi, Yonggang ^a   Zhang, Naitong ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Fractional bandlimited signal; fractional filter; fractional Fourier transform; multichannel sampling theorem

Indexed keywords

BAND-LIMITED SIGNAL; FRACTIONAL FILTER; FRACTIONAL FOURIER DOMAINS; FRACTIONAL FOURIER TRANSFORMS; HARDWARE COMPLEXITY; MULTICHANNEL SAMPLING; MULTICHANNEL SAMPLING THEOREM; POTENTIAL APPLICATIONS; SAMPLING THEOREMS; SPECTRAL LEAKAGE; TIME DOMAIN;

DIGITAL SIGNAL PROCESSING; SIGNAL PROCESSING;

FOURIER TRANSFORMS;

EID: 77956997558     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2010.2071383     Document Type: Article

References (16)

1. V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Math. Appl., vol.25, no.3, pp. 241-265, 1980.
2. L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Process., vol.42, no.11, pp. 3084-3091, Nov. 1994.
3. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform With Applications in Optics and Signal Processing. New York: Wiley, 2000.
4. D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Amer. A, vol.10, no.9, pp. 1875-1881, Sep. 1993.
5. M. Martone, "A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels," IEEE Trans. Commun., vol.49, no.6, pp. 1011-1020, Jun. 2001.
6. M. A. Kutay, H. M. Ozaktas, O. Arikan, and L. Onural, "Optimal filtering in fractional Fourier domains," IEEE Trans. Signal Process., vol.45, no.7, pp. 1209-11143, Jul. 1997.
7. S. C. Pei and J. J. Ding, "Relations between fractional operations and time-frequency distributions, and their applications," IEEE Trans. Signal Process., vol.49, no.8, pp. 1638-1655, Aug. 2001.
8. P. Kraniauskas, G. Cariolaro, and T. Erseghe, "Method for defining a class of fractional operations," IEEE Trans. Signal Process., vol.46, no.10, pp. 2804-2807, Oct. 1998.
9. X. G. Xia, "On bandlimited signals with fractional Fourier transform," IEEE Signal Process. Lett., vol.3, no.3, pp. 72-74, Mar. 1996.
10. A. I. Zayed, "On the relationship between Fourier and fractional Fourier transforms," IEEE Signal Process. Lett., vol.3, no.12, pp. 310-311, 1996.
11. A. Papoulis, "Generalized sampling expansion," IEEE Trans. Circuit Syst., vol.CAS-24, no.11, pp. 652-654, Nov. 1977.
12. K. K. Sharma and S. D. Joshi, "Papoulis-like generalized sampling expansions in fractional Fourier domains and their application to superresolution," Opt. Commun., vol.278, pp. 52-59, Oct. 2007.
13. F. Zhang, R. Tao, and Y. Wang, "Multichannel sampling theorems for bandlimited signals with fractional Fourier transform," Sci. China Ser. E-Tech. Sci., vol.51, no.6, pp. 790-802, Jun. 2008.
14. 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.
15. T. Erseghe, P. Kraniauskas, and G. Cariolaro, "Unified fractional Fourier transform and sampling theorem," IEEE Trans. Signal Process., vol.47, no.12, pp. 3419-3423, Dec. 1999.
16. H. Liu, "Multicode ultra-wideband scheme using chirp waveforms," IEEE J. Sel. Areas Commun., vol.24, no.4, pp. 885-891, Apr. 2006.