Abstract

A photonic approach for microwave spectral analysis based on Fourier cosine transform is proposed. The spectral information is obtained by processing a microwave power versus dispersion function, which is the product of the power spectrum of the signal with its spectrum to be analyzed and the power transfer function of the phase- modulated radio over dispersive link system. We demonstrate that the approach is capable of analyzing microwave signals with multiple frequency components. The sensitivity, the spectral resolution, and the effective measurement bandwidth of the scheme are quantitatively discussed.

© 2011 Optical Society of America

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References

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  1. J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
    [CrossRef]
  2. R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
    [CrossRef]
  3. L. V. T. Nguyen and D. B. Hunter, IEEE Photon. Technol. Lett. 18, 1188 (2006).
    [CrossRef]
  4. H. Chi, X. H. Zou, and J. P. Yao, IEEE Photon. Technol. Lett. 20, 1249 (2008).
    [CrossRef]
  5. W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
    [CrossRef]
  6. D. B. Hunter, L. G. Edvell, and M. A. Englund, “Wideband microwave photonic channelised receiver,” presented at the International Topical Meeting on Microwave Photonics, Oct. 2005, p. 249.
  7. X. H. Zou, W. Pan, B. Luo, and L. Yan, Opt. Lett. 35, 438 (2010).
    [CrossRef] [PubMed]
  8. S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theory Tech. 47, 1385 (1999).
    [CrossRef]
  9. R. E. Saperstein, D. Panasenko, and Y. Fainman, Opt. Lett. 29, 501 (2004).
    [CrossRef] [PubMed]
  10. V. Lavielle, I. Lorgeré, J.-L. Le Gouët, S. Tonda, and D. Dolfi, Opt. Lett. 28, 384 (2003).
    [CrossRef] [PubMed]
  11. L. V. T. Nguyen, IEEE Photon. Technol. Lett. 21, 642 (2009).
    [CrossRef]
  12. B. Vidal, T. Mengual, and J. Martí, IEEE Trans. Microwave Theory Tech. 58, 3103 (2010).
    [CrossRef]
  13. E. G. Steward, Fourier Optics: An Introduction, 2nd ed. (Dover, 2004).
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    [CrossRef]
  15. A. Jeffrey in Advanced Engineering Mathematics, A.Jeffrey (Harcourt/Academic, 2002).
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    [CrossRef] [PubMed]
  17. Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
    [CrossRef]
  18. C. M. Eigenwillig, W. Wieser, B. R. Biedermann, and R. Huber, Opt. Lett. 34, 725 (2009).
    [CrossRef] [PubMed]

2011 (1)

2010 (2)

X. H. Zou, W. Pan, B. Luo, and L. Yan, Opt. Lett. 35, 438 (2010).
[CrossRef] [PubMed]

B. Vidal, T. Mengual, and J. Martí, IEEE Trans. Microwave Theory Tech. 58, 3103 (2010).
[CrossRef]

2009 (2)

2008 (3)

H. Chi and J. P. Yao, IEEE Photon. Technol. Lett. 20, 315 (2008).
[CrossRef]

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

H. Chi, X. H. Zou, and J. P. Yao, IEEE Photon. Technol. Lett. 20, 1249 (2008).
[CrossRef]

2007 (1)

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

2006 (2)

R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
[CrossRef]

L. V. T. Nguyen and D. B. Hunter, IEEE Photon. Technol. Lett. 18, 1188 (2006).
[CrossRef]

2004 (1)

2003 (1)

2001 (1)

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

1999 (1)

S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theory Tech. 47, 1385 (1999).
[CrossRef]

Biedermann, B. R.

Brock, J. C.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Capmany, J.

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

Chen, L. H.

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

Chi, H.

H. Chi, X. H. Zou, and J. P. Yao, IEEE Photon. Technol. Lett. 20, 1249 (2008).
[CrossRef]

H. Chi and J. P. Yao, IEEE Photon. Technol. Lett. 20, 315 (2008).
[CrossRef]

Davis, R. L.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Dolfi, D.

Edvell, L. G.

D. B. Hunter, L. G. Edvell, and M. A. Englund, “Wideband microwave photonic channelised receiver,” presented at the International Topical Meeting on Microwave Photonics, Oct. 2005, p. 249.

Eigenwillig, C. M.

Englund, M. A.

D. B. Hunter, L. G. Edvell, and M. A. Englund, “Wideband microwave photonic channelised receiver,” presented at the International Topical Meeting on Microwave Photonics, Oct. 2005, p. 249.

Fainman, Y.

Huber, R.

Hunter, D. B.

L. V. T. Nguyen and D. B. Hunter, IEEE Photon. Technol. Lett. 18, 1188 (2006).
[CrossRef]

D. B. Hunter, L. G. Edvell, and M. A. Englund, “Wideband microwave photonic channelised receiver,” presented at the International Topical Meeting on Microwave Photonics, Oct. 2005, p. 249.

Jeffrey, A.

A. Jeffrey in Advanced Engineering Mathematics, A.Jeffrey (Harcourt/Academic, 2002).

Jung, T. J.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Lavielle, V.

Le Gouët, J.-L.

Lembo, L. J.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Lindsay, A. C.

S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theory Tech. 47, 1385 (1999).
[CrossRef]

Lodenkamper, R.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Lorgeré, I.

Luo, B.

Martí, J.

B. Vidal, T. Mengual, and J. Martí, IEEE Trans. Microwave Theory Tech. 58, 3103 (2010).
[CrossRef]

Matsui, T.

Mengual, T.

B. Vidal, T. Mengual, and J. Martí, IEEE Trans. Microwave Theory Tech. 58, 3103 (2010).
[CrossRef]

Minasian, R. A.

R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
[CrossRef]

Nguyen, L. V. T.

L. V. T. Nguyen, IEEE Photon. Technol. Lett. 21, 642 (2009).
[CrossRef]

L. V. T. Nguyen and D. B. Hunter, IEEE Photon. Technol. Lett. 18, 1188 (2006).
[CrossRef]

Novak, D.

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

Pan, W.

Panasenko, D.

Sakamoto, T.

Saperstein, R. E.

Steward, E. G.

E. G. Steward, Fourier Optics: An Introduction, 2nd ed. (Dover, 2004).

Tomita, S.

Tonda, S.

Tsujikawa, K.

Vidal, B.

B. Vidal, T. Mengual, and J. Martí, IEEE Trans. Microwave Theory Tech. 58, 3103 (2010).
[CrossRef]

Wang, W. S.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Wieser, W.

Winnall, S. T.

S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theory Tech. 47, 1385 (1999).
[CrossRef]

Wu, M. C.

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

Xie, S. Z.

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

Yan, L.

Yang, S. G.

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

Yao, J. P.

H. Chi, X. H. Zou, and J. P. Yao, IEEE Photon. Technol. Lett. 20, 1249 (2008).
[CrossRef]

H. Chi and J. P. Yao, IEEE Photon. Technol. Lett. 20, 315 (2008).
[CrossRef]

Zhang, Y. J.

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

Zheng, W. H.

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

Zou, X. H.

X. H. Zou, W. Pan, B. Luo, and L. Yan, Opt. Lett. 35, 438 (2010).
[CrossRef] [PubMed]

H. Chi, X. H. Zou, and J. P. Yao, IEEE Photon. Technol. Lett. 20, 1249 (2008).
[CrossRef]

Appl. Opt. (1)

IEEE Photon. Technol. Lett. (4)

H. Chi and J. P. Yao, IEEE Photon. Technol. Lett. 20, 315 (2008).
[CrossRef]

L. V. T. Nguyen and D. B. Hunter, IEEE Photon. Technol. Lett. 18, 1188 (2006).
[CrossRef]

H. Chi, X. H. Zou, and J. P. Yao, IEEE Photon. Technol. Lett. 20, 1249 (2008).
[CrossRef]

L. V. T. Nguyen, IEEE Photon. Technol. Lett. 21, 642 (2009).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (4)

B. Vidal, T. Mengual, and J. Martí, IEEE Trans. Microwave Theory Tech. 58, 3103 (2010).
[CrossRef]

R. A. Minasian, IEEE Trans. Microwave Theory Tech. 54, 832 (2006).
[CrossRef]

W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theory Tech. 49, 1996 (2001).
[CrossRef]

S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theory Tech. 47, 1385 (1999).
[CrossRef]

Microw. Opt. Technol. Lett. (1)

Y. J. Zhang, S. G. Yang, S. Z. Xie, W. H. Zheng, and L. H. Chen, Microw. Opt. Technol. Lett. 50, 1073 (2008).
[CrossRef]

Nat. Photon. (1)

J. Capmany and D. Novak, Nat. Photon. 1, 319 (2007).
[CrossRef]

Opt. Lett. (4)

Other (3)

A. Jeffrey in Advanced Engineering Mathematics, A.Jeffrey (Harcourt/Academic, 2002).

E. G. Steward, Fourier Optics: An Introduction, 2nd ed. (Dover, 2004).

D. B. Hunter, L. G. Edvell, and M. A. Englund, “Wideband microwave photonic channelised receiver,” presented at the International Topical Meeting on Microwave Photonics, Oct. 2005, p. 249.

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Figures (4)

Fig. 1
Fig. 1

(Upper) Schematic illustration of the proposed approach, where TLD is tunable laser diode, Φ M is phase modulator and PD means photodetectcor. (Lower) Power transfer function of phase-modulated microwave signal over dispersive device.

Fig. 2
Fig. 2

Simulation results (frequency components include 3 GHz , 7 GHz , 15 GHz , and 24 GHz ). (a) RF power versus dispersion function without noise. (b), (c), and (d) RF power spectrum for the cases of photocurrent without noise, with SNR 15 dB , and 10 dB , respectively.

Fig. 3
Fig. 3

Sensitivity versus SNR of photo-current.

Fig. 4
Fig. 4

The effective measurement bandwidth as a function of the maximum dispersion.

Equations (3)

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P RF ( Φ ¨ ) = 1 2 π 0 S ( ω ) sin 2 ( Φ ¨ ω 2 / 2 ) d ω = 1 4 π 0 S ( ω ) [ 1 cos ( Φ ¨ ω 2 ) ] d ω .
P RF ( Φ ¨ ) = 1 8 π 0 S ˜ ( Ω ) [ 1 cos ( Φ ¨ Ω ) ] d Ω .
S ˜ ( Ω ) = 4 0 | P RF ( Φ ¨ ) P RF ( Φ ¨ ) ¯ | cos ( Φ ¨ Ω ) d Φ ¨ ,

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