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Volumn 62, Issue 24, 2014, Pages 6582-6595

Sparse discrete fractional fourier transform and its applications

Author keywords

Cross ambiguity function; global positioning system; passive bistatic radar; sparse discrete fractional Fourier transform

Indexed keywords

ADAPTIVE FILTERING; COMPUTATIONAL COMPLEXITY; FOURIER TRANSFORMS; GLOBAL POSITIONING SYSTEM; RADAR; SIGNAL PROCESSING;

EID: 84913582865     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2014.2366719     Document Type: Article
Times cited : (155)

References (42)
  • 1
    • 70349588470 scopus 로고    scopus 로고
    • Random discrete fractional Fourier transform
    • Dec
    • S. C. Pei and W. L. Hsue, "Random discrete fractional Fourier transform," IEEE Signal Process. Lett., vol. 16, no. 12, pp. 1015-1018, Dec. 2009.
    • (2009) IEEE Signal Process. Lett , vol.16 , Issue.12 , pp. 1015-1018
    • Pei, S.C.1    Hsue, W.L.2
  • 2
    • 84968470212 scopus 로고
    • An algorithm for the machine computation of complex Fourier series
    • Apr
    • J. W. Cooley and J. W. Tukey, "An algorithm for the machine computation of complex Fourier series," Math. Comput., vol. 19, no. 90, pp. 297-301, Apr. 1965.
    • (1965) Math. Comput , vol.19 , Issue.90 , pp. 297-301
    • Cooley, J.W.1    Tukey, J.W.2
  • 3
    • 0033189498 scopus 로고    scopus 로고
    • A new discrete fractional Fourier transform based on constrained eigendecomposition of DFT matrix by Largrange multiplier method
    • Sep
    • S. C. Pei, C. C. Tseng, and M. H. Yeh, "A new discrete fractional Fourier transform based on constrained eigendecomposition of DFT matrix by Largrange multiplier method," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 46, no. 9, pp. 1240-1245, Sep. 1999.
    • (1999) IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process , vol.46 , Issue.9 , pp. 1240-1245
    • Pei, S.C.1    Tseng, C.C.2    Yeh, M.H.3
  • 4
    • 0041072734 scopus 로고    scopus 로고
    • The discrete fractional Fourier transform
    • May
    • C. Candan, M. A. Kutay, and H. M. Ozaktas, "The discrete fractional Fourier transform," IEEE Trans. Signal Process., vol. 48, no. 5, pp. 1329-1337, May 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.5 , pp. 1329-1337
    • Candan, C.1    Kutay, M.A.2    Ozaktas, H.M.3
  • 5
    • 84865973606 scopus 로고    scopus 로고
    • Fractional discrete Fourier transform of type IV based on the eigenanalysis of a nearly tridiagonal matrix
    • Dec
    • M. T. Hanna, "Fractional discrete Fourier transform of type IV based on the eigenanalysis of a nearly tridiagonal matrix," Digit. Signal Process., vol. 22, no. 6, pp. 1095-1106, Dec. 2012.
    • (2012) Digit. Signal Process , vol.22 , Issue.6 , pp. 1095-1106
    • Hanna, M.T.1
  • 6
    • 33747850608 scopus 로고    scopus 로고
    • The discrete rotational Fourier transform
    • Apr
    • B. Santhanam and J. H. McClellan, "The discrete rotational Fourier transform," IEEE Trans. Signal Process., vol. 44, no. 4, pp. 994-998, Apr. 1996.
    • (1996) IEEE Trans. Signal Process , vol.44 , Issue.4 , pp. 994-998
    • Santhanam, B.1    McClellan, J.H.2
  • 7
    • 0033345657 scopus 로고    scopus 로고
    • Unified fractional Fourier transform and sampling theorem
    • Dec
    • 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.
    • (1999) IEEE Trans. Signal Process , vol.47 , Issue.12 , pp. 3419-3423
    • Erseghe, T.1    Kraniauskas, P.2    Cariolaro, G.3
  • 8
    • 0030243105 scopus 로고    scopus 로고
    • Digital computation of the fractional Fourier transform
    • Sep
    • H. M. Ozaktas, O. Ankan, M. A. Kutay, and G. Bozdagt, "Digital computation of the fractional Fourier transform," IEEE Trans. Signal Process., vol. 44, no. 9, pp. 2141-2150, Sep. 1996.
    • (1996) IEEE Trans. Signal Process , vol.44 , Issue.9 , pp. 2141-2150
    • Ozaktas, H.M.1    Ankan, O.2    Kutay, M.A.3    Bozdagt, G.4
  • 9
    • 33747799699 scopus 로고    scopus 로고
    • Closed-form discrete fractional and affine Fourier transforms
    • May
    • S. C. Pei and J. J. Ding, "Closed-form discrete fractional and affine Fourier transforms," IEEE Trans. Signal Process., vol. 48, no. 5, pp. 1338-1353, May 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.5 , pp. 1338-1353
    • Pei, S.C.1    Ding, J.J.2
  • 11
    • 85032751695 scopus 로고    scopus 로고
    • Recent developments in the sparse Fourier transform: A compressed Fourier transform for big data
    • Sep
    • A. C. Gilbert, P. Indyk, M. Iwen, and L. Schmidt, "Recent developments in the sparse Fourier transform: A compressed Fourier transform for big data," IEEE Signal Process. Mag., vol. 31, no. 5, pp. 91-100, Sep. 2014.
    • (2014) IEEE Signal Process. Mag , vol.31 , Issue.5 , pp. 91-100
    • Gilbert, A.C.1    Indyk, P.2    Iwen, M.3    Schmidt, L.4
  • 12
  • 13
    • 34347400181 scopus 로고    scopus 로고
    • Spectral analysis and reconstruction for periodic nonuniformly sampled signals in fractional Fourier domain
    • Jul
    • R. Tao, B. Z. Li, andY.Wang, "Spectral analysis and reconstruction for periodic nonuniformly sampled signals in fractional Fourier domain," IEEE Trans. Signal Process., vol. 55, no. 7, pp. 3541-3547, Jul. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.7 , pp. 3541-3547
    • Tao, R.1    Li, B.Z.2    Wang, Y.3
  • 14
    • 65449161002 scopus 로고    scopus 로고
    • Fractional power spectrum
    • Sep
    • R. Tao, F. Zhang, and Y. Wang, "Fractional power spectrum," IEEE Trans. Signal Process., vol. 56, no. 9, pp. 4199-4206, Sep. 2008.
    • (2008) IEEE Trans. Signal Process , vol.56 , Issue.9 , pp. 4199-4206
    • Tao, R.1    Zhang, F.2    Wang, Y.3
  • 15
    • 37748999882 scopus 로고    scopus 로고
    • Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain
    • Jan
    • R. Tao, B. Deng, W. Q. Zhang, and Y. Wang, "Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain," IEEE Trans. Signal Process., vol. 56, no. 1, pp. 158-171, Jan. 2008.
    • (2008) IEEE Trans. Signal Process , vol.56 , Issue.1 , pp. 158-171
    • Tao, R.1    Deng, B.2    Zhang, W.Q.3    Wang, Y.4
  • 16
    • 79952006707 scopus 로고    scopus 로고
    • Sampling random signals in a fractional Fourier domain
    • Jun
    • R. Tao, F. Zhang, and Y. Wang, "Sampling random signals in a fractional Fourier domain," Signal Process., vol. 91, no. 6, pp. 1394-1400, Jun. 2011.
    • (2011) Signal Process , vol.91 , Issue.6 , pp. 1394-1400
    • Tao, R.1    Zhang, F.2    Wang, Y.3
  • 17
    • 67650146571 scopus 로고    scopus 로고
    • Time delay estimation of chirp signals in the fractional Fourier domain
    • Jul
    • R. Tao, X. M. Li, Y. L. Li, and Y. Wang, "Time delay estimation of chirp signals in the fractional Fourier domain," IEEE Trans. Signal Process., vol. 57, no. 7, pp. 2852-2855, Jul. 2009.
    • (2009) IEEE Trans. Signal Process , vol.57 , Issue.7 , pp. 2852-2855
    • Tao, R.1    Li, X.M.2    Li, Y.L.3    Wang, Y.4
  • 18
    • 77951151097 scopus 로고    scopus 로고
    • Short-time fractional Fourier transform and its applications
    • May
    • R. Tao,Y. L. Li, and Y.Wang, "Short-time fractional Fourier transform and its applications," IEEE Trans. Signal Process., vol. 58, no. 5, pp. 2568-2580, May 2010.
    • (2010) IEEE Trans. Signal Process , vol.58 , Issue.5 , pp. 2568-2580
    • Tao, R.1    Li, Y.L.2    Wang, Y.3
  • 19
    • 79952003947 scopus 로고    scopus 로고
    • Fractional Fourier transform as a signal processing tool: An overview of recent developments
    • June
    • E. Sejdic, I. Djurovic, and L. Stankovic, "Fractional Fourier transform as a signal processing tool: An overview of recent developments," Signal Process., vol. 91, no. 6, pp. 1351-1369, June 2011.
    • (2011) Signal Process , vol.91 , Issue.6 , pp. 1351-1369
    • Sejdic, E.1    Djurovic, I.2    Stankovic, L.3
  • 22
    • 0029357243 scopus 로고
    • The discrete polynomial-phase transform
    • Aug
    • S. Peleg and B. Friedlander, "The discrete polynomial-phase transform," IEEE Trans. Signal Process., vol. 43, no. 8, pp. 1901-1914, Aug. 1995.
    • (1995) IEEE Trans. Signal Process , vol.43 , Issue.8 , pp. 1901-1914
    • Peleg, S.1    Friedlander, B.2
  • 23
    • 0029733453 scopus 로고    scopus 로고
    • Multicomponent signal analysis using the polynomial-phase transform
    • Jan
    • S. Peleg and B. Friedlander, "Multicomponent signal analysis using the polynomial-phase transform," IEEE Trans. Aerosp. Electron. Syst., vol. 32, no. 1, pp. 378-387, Jan. 1996.
    • (1996) IEEE Trans. Aerosp. Electron. Syst , vol.32 , Issue.1 , pp. 378-387
    • Peleg, S.1    Friedlander, B.2
  • 24
    • 0022816476 scopus 로고
    • Fast maximum likelihood joint estimation of frequency and frequency rate
    • Jun
    • T. Abotzoglou, "Fast maximum likelihood joint estimation of frequency and frequency rate," IEEE Trans. Acoust., Speech Signal Process., vol. 22, no. 6, pp. 708-715, Jun. 1986.
    • (1986) IEEE Trans. Acoust., Speech Signal Process , vol.22 , Issue.6 , pp. 708-715
    • Abotzoglou, T.1
  • 25
    • 0034324497 scopus 로고    scopus 로고
    • Discrete chirp-Fourier transform and its application to chirp rate estimation
    • Nov
    • X. G. Xia, "Discrete chirp-Fourier transform and its application to chirp rate estimation," IEEE Trans. Signal Process., vol. 48, no. 11, pp. 3122-3133, Nov. 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.11 , pp. 3122-3133
    • Xia, X.G.1
  • 26
    • 0025630338 scopus 로고
    • Parameter estimation of chirp signals
    • Dec
    • P.M. Djuric and S. M. Kay, "Parameter estimation of chirp signals," IEEE Trans. Signal Process., vol. 38, no. 12, pp. 2118-2126, Dec. 1990.
    • (1990) IEEE Trans. Signal Process , vol.38 , Issue.12 , pp. 2118-2126
    • Djuric, P.M.1    Kay, S.M.2
  • 27
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time-frequency representations
    • Nov
    • L. B. Almeida, "The fractional Fourier transform and time-frequency representations," IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3084-3091, Nov. 1994.
    • (1994) IEEE Trans. Signal Process , vol.42 , Issue.11 , pp. 3084-3091
    • Almeida, L.B.1
  • 28
    • 84913602160 scopus 로고    scopus 로고
    • Dec. [Online]. Available
    • L. B. Almeida, Dec. 2013, The Code sFFT-1.0-2.0 Package [Online]. Available: http://groups.csail.mit.edu/netmit/sFFT/sFFT-1.0-2.0.tar.gz
    • (2013) The Code sFFT-1.0-2.0 Package
    • Almeida, L.B.1
  • 33
    • 24144486505 scopus 로고    scopus 로고
    • Fast FFT based GPS satellite acquisitionmethods
    • Aug
    • D. Akopian, "Fast FFT based GPS satellite acquisitionmethods," Proc. Inst. Electr. Eng.-Radar Sonar Navig., vol. 152, no. 4, pp. 277-286, Aug. 2005.
    • (2005) Proc. Inst. Electr. Eng.-Radar Sonar Navig , vol.152 , Issue.4 , pp. 277-286
    • Akopian, D.1
  • 34
    • 84866631772 scopus 로고    scopus 로고
    • Faster GPS via the sparse Fourier transform
    • Istanbul, Turkey, Aug
    • H. Hassanieh, F. Adib, D. Katabi, and P. Indyk, "Faster GPS via the sparse Fourier transform," in Proc. ACM MobiCom, Istanbul, Turkey, Aug. 2012, pp. 353-364.
    • (2012) Proc. ACM MobiCom , pp. 353-364
    • Hassanieh, H.1    Adib, F.2    Katabi, D.3    Indyk, P.4
  • 37
    • 22544431690 scopus 로고    scopus 로고
    • Passive coherent location radar systems. Part 1: Performance prediction
    • Jun
    • H. D. Griffiths and C. J. Baker, "Passive coherent location radar systems. Part 1: Performance prediction," Proc. Inst. Electr. Eng.-Radar Sonar Navig., vol. 152, no. 3, pp. 153-159, Jun. 2005.
    • (2005) Proc. Inst. Electr. Eng.-Radar Sonar Navig , vol.152 , Issue.3 , pp. 153-159
    • Griffiths, H.D.1    Baker, C.J.2
  • 38
    • 0038046534 scopus 로고    scopus 로고
    • Measurement and analysis of ambiguity functions of off-air signals for passive coherent location
    • Jun
    • H. D. Griffiths, C. J. Baker, H. Ghaleb, R. Ramakrishnan, and E. Willman, "Measurement and analysis of ambiguity functions of off-air signals for passive coherent location," Electron. Lett., vol. 39, no. 13, pp. 1005-1007, Jun. 2003.
    • (2003) Electron. Lett , vol.39 , Issue.13 , pp. 1005-1007
    • Griffiths, H.D.1    Baker, C.J.2    Ghaleb, H.3    Ramakrishnan, R.4    Willman, E.5
  • 41
    • 84884850117 scopus 로고    scopus 로고
    • The migration compensation methods for DTV based passive radar
    • Ottawa, ON, Canada, May 2013
    • Y. Feng, T. Shan, Z. H. Zhuo, and R. Tao, "The migration compensation methods for DTV based passive radar," in Proc. IEEE Radar Conf., Ottawa, ON, Canada, May 2013, pp. 1-4.
    • Proc. IEEE Radar Conf , pp. 1-4
    • Feng, Y.1    Shan, T.2    Zhuo, Z.H.3    Tao, R.4


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