Spectral analysis and reconstruction for periodic nonuniformly sampled signals in fractional fourier domain

IEEE Transactions on Signal Processing

Volumn 55, Issue 7 I, 2007, Pages 3541-3547

  Tao, Ran ^a   Li, Bing Zhao ^a   Wang, Yue ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Chirp signal; Fractional Fourier transform (FrFT); Nonstationary signal; Periodic nonuniform sampling; Spectral analysis

Indexed keywords

FOURIER TRANSFORMS; SAMPLING; SPECTRUM ANALYSIS;

CHIRP SIGNAL; FRACTIONAL FOURIER TRANSFORM; NONSTATIONARY SIGNAL;

SIGNAL PROCESSING;

EID: 34347400181     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.893931     Document Type: Article

References (22)

1. 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.
2. R. Tao, B. Deng, and Y. Wang, "Research progress of the fractional Fourier transform in signal processing," Sci. in China (Ser. F, Inf. Sci.), vol. 49, no. 1, pp. 1-25, Jun. 2006.
3. O. Besson, M. Ghogho, and A. Swami, "Parameter estimation for random amplitude chirp signals," IEEE Trans. Signal Process., vol. 47, no. 12, pp. 3208-3219, Dec. 1999.
4. L. Qi, R. Tao, S. zhou, and Y. Wang, "Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform," Sci. in China (Ser. F, Inf. Sci.), vol. 47, no. 2, pp. 184-198, Apr. 2004.
5. M.I. Skolnik, Radar Handbook. New York: McGraw-Hill, Jan. 1990.
6. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
7. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform With Applications in Optics and Signal Processing. New York: Wiley, 2001.
8. R. Tao, L. Qi, and Y. Wang, Theory and Applications of the Fractional Fourier Transform. Beijing, China: Tsinghua Univ. Press, 2004.
9. X. 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 the Fourier and fractional Fourier transform," IEEE Signal Process. Lett., vol. 3, no. 12, pp. 310-311, Dec. 1996.
11. W.-Q. Zhang and R. Tao, "Sampling theorems for bandpass signals with fractional Fourier transform," Acta Electron. Sin., vol. 33, no. 7, pp. 1196-1199, Jul. 2005.
12. C. Candan and H. M. Ozaktas, "Sampling and series expansion theorems for fractional Fourier and other transforms," Signal Process., vol. 83, pp. 2455-2457, 2003.
13. 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.
14. H. M. Ozaktas, O. Arikan, M. A. Kutay, and G. Bozdagi, "Digital computation of the fractional Fourier transform," IEEE Trans. Signal Process., vol. 44, no. 9, pp. 2141-2149, Sep. 1996.
15. S.-C. Pei, M.-H. Yeh, and C.-C. Tseng, "Discrete fractional Fourier transform based on orthogonal projections," IEEE Trans. Signal Process., vol. 47, no. 5, pp. 1335-1348, May 1999.
16. C. Candan, M. A. Kutay, and H. M. Ozakats, "The discrete fractional Fourier transform," IEEE Trans. Signal Process., vol. 48, no. 5, pp. 1329-1337, May 2000.
17. Y.-C. Jenq, "Digital spectra of nonuniformly sampled signals: Fundamentals and high-speed waveform digitizers," IEEE Trans. Instrum. Meas., vol. 37, no. 2, pp. 245-251, Jun. 1988.
18. J. L. Yen, "On nonuniform sampling of bandwidth-limited signals," IEEE Trans. Circuit Theory, vol. CT-3, no. 12, pp. 251-257, Dec. 1956.
19. A. Papoulis, "Generalized sampling expansion," IEEE Trans. Circuit Syst., vol. cas-24, no. 11, Nov. 1977.
20. Y. C. Eldar and A. V. Oppenheim, "Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples," IEEE Trans. Signal Process., vol. 48, no. 10, pp. 2864-2875, Oct. 2000.
21. A. Feuer and G. C. Goodwin, "Reconstruction of multidimensional bandlimited signals from nonuniform and generalized samples," IEEE Trans. Signal Process., vol. 53, no. 11, pp. 4273-4282, Nov. 2005.
22. Y.-C. Jenq, "Perfect reconstruction of digital spectrum from nonuniformly sampled signals," IEEE Trans. Instrum. Meas., vol. 46, no. 3, pp. 649-652, Jun. 1997.