Abstract

An approach to realizing microwave spectrum sensing based on photonic time stretch and compressive sampling is proposed. The time stretch system is used to slow down the input high-speed signal and the compressive sampling based on random demodulation can further decrease the sampling rate. A spectrally sparse signal in a wide bandwidth can be captured with a sampling rate far lower than the Nyquist rate thanks to both time stretch and compressive sampling. It is demonstrated that a system with a time stretch factor 5 and a compression factor 8 can be used to capture a signal with multiple tones in a 50 GHz bandwidth, which means a sampling rate 40 times lower than the Nyquist rate. In addition, the time stretch of the microwave signal largely decreases the data rate of random data sequence and therefore the speed of the mixer in the random demodulator.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. V. T. Nguyen and D. B. Hunter, IEEE Photonics Technol. Lett. 18, 1188 (2006).
    [CrossRef]
  2. H. Chi, X. H. Zou, and J. P. Yao, IEEE Photonics Technol. Lett. 20, 1249 (2008).
    [CrossRef]
  3. R. E. Saperstein, D. Panasenko, and Y. Fainman, Opt. Lett. 29, 501 (2004).
    [CrossRef]
  4. B. Vidal, T. Mengual, and J. Marti, IEEE Trans. Microwave Theor. Tech. 58, 3103 (2010).
    [CrossRef]
  5. Y. Wang, H. Chi, X. Zhang, S. Zheng, and X. Jin, Opt. Lett. 36, 3897 (2011).
    [CrossRef]
  6. L. V. T. Nguyen, IEEE Photon. Technol. Lett. 21, 642 (2009).
    [CrossRef]
  7. S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theor. Tech. 47, 1385 (1999).
    [CrossRef]
  8. W. S. Wang, R. L. Davis, T. J. Jung, R. Lodenkamper, L. J. Lembo, J. C. Brock, and M. C. Wu, IEEE Trans. Microwave Theor. Tech. 49, 1996 (2001).
    [CrossRef]
  9. J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
    [CrossRef]
  10. M. Mishali and Y. C. Eldar, IEEE J. Sel. Top. Signal Process. 4, 375 (2010).
    [CrossRef]
  11. H. Nan, Y. Gu, and H. Zhang, IEEE Photonics Technol. Lett. 23, 67 (2011).
    [CrossRef]
  12. J. M. Nicholes and F. Bucholz, Opt. Express 19, 7339 (2011).
    [CrossRef]
  13. H. Chi, Y. Mei, Y. Chen, D. Wang, S. Zheng, X. Jin, and X. Zhang, Opt. Lett. 37, 4636 (2012).
    [CrossRef]
  14. G. C. Valley, G. A. Sefler, and T. J. Shaw, Opt. Lett. 37, 4675 (2012).
  15. F. Coppinger, A. S. Bhushan, and B. Jalali, IEEE Trans. Microwave Theor. Tech. 47, 1309 (1999).
    [CrossRef]
  16. M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, IEEE J. Select Topics Signal Process. 4, 586 (2007).
    [CrossRef]
  17. G. A. Sefler, J. Chou, J. A. Conway, and G. C. Valley, J. Lightwave Technol. 28, 1468 (2010).
    [CrossRef]
  18. Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

2012

2011

2010

G. A. Sefler, J. Chou, J. A. Conway, and G. C. Valley, J. Lightwave Technol. 28, 1468 (2010).
[CrossRef]

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

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

M. Mishali and Y. C. Eldar, IEEE J. Sel. Top. Signal Process. 4, 375 (2010).
[CrossRef]

2009

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

2008

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

2007

M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, IEEE J. Select Topics Signal Process. 4, 586 (2007).
[CrossRef]

2006

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

2004

2003

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

2001

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

1999

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

F. Coppinger, A. S. Bhushan, and B. Jalali, IEEE Trans. Microwave Theor. Tech. 47, 1309 (1999).
[CrossRef]

Baraniuk, R. G.

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

Bhushan, A. S.

F. Coppinger, A. S. Bhushan, and B. Jalali, IEEE Trans. Microwave Theor. Tech. 47, 1309 (1999).
[CrossRef]

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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Bucholz, F.

Chen, Y.

Chi, H.

Chou, J.

Conway, J. A.

Coppinger, F.

F. Coppinger, A. S. Bhushan, and B. Jalali, IEEE Trans. Microwave Theor. Tech. 47, 1309 (1999).
[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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Duarte, M. F.

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

Eldar, Y. C.

M. Mishali and Y. C. Eldar, IEEE J. Sel. Top. Signal Process. 4, 375 (2010).
[CrossRef]

Fainman, Y.

Fetterman, H.

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

Figueiredo, M. A. T.

M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, IEEE J. Select Topics Signal Process. 4, 586 (2007).
[CrossRef]

Gu, Y.

H. Nan, Y. Gu, and H. Zhang, IEEE Photonics Technol. Lett. 23, 67 (2011).
[CrossRef]

Han, J.

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

Han, Y.

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

Hunter, D. B.

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

Jalali, B.

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

F. Coppinger, A. S. Bhushan, and B. Jalali, IEEE Trans. Microwave Theor. Tech. 47, 1309 (1999).
[CrossRef]

Jin, X.

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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Laska, J. N.

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Lindsay, A. C.

S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theor. 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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Marti, J.

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

Mei, Y.

Mengual, T.

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

Mishali, M.

M. Mishali and Y. C. Eldar, IEEE J. Sel. Top. Signal Process. 4, 375 (2010).
[CrossRef]

Nan, H.

H. Nan, Y. Gu, and H. Zhang, IEEE Photonics Technol. Lett. 23, 67 (2011).
[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 Photonics Technol. Lett. 18, 1188 (2006).
[CrossRef]

Nicholes, J. M.

Nowak, R. D.

M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, IEEE J. Select Topics Signal Process. 4, 586 (2007).
[CrossRef]

Panasenko, D.

Romberg, J. K.

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

Saperstein, R. E.

Sefler, G. A.

Seo, B.

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

Shaw, T. J.

Tropp, J. A.

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

Valley, G. C.

Vidal, B.

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

Wang, D.

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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Wang, Y.

Winnall, S. T.

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

Wright, S. J.

M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, IEEE J. Select Topics Signal Process. 4, 586 (2007).
[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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

Yao, J. P.

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

Zhang, H.

H. Nan, Y. Gu, and H. Zhang, IEEE Photonics Technol. Lett. 23, 67 (2011).
[CrossRef]

Zhang, X.

Zheng, S.

Zou, X. H.

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

IEEE J. Sel. Top. Signal Process.

M. Mishali and Y. C. Eldar, IEEE J. Sel. Top. Signal Process. 4, 375 (2010).
[CrossRef]

IEEE J. Select Topics Signal Process.

M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, IEEE J. Select Topics Signal Process. 4, 586 (2007).
[CrossRef]

IEEE Photon. Technol. Lett.

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

IEEE Photonics Technol. Lett.

H. Nan, Y. Gu, and H. Zhang, IEEE Photonics Technol. Lett. 23, 67 (2011).
[CrossRef]

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

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

IEEE Trans. Inf. Theory

J. A. Tropp, J. N. Laska, M. F. Duarte, J. K. Romberg, and R. G. Baraniuk, IEEE Trans. Inf. Theory 56, 520 (2010).
[CrossRef]

IEEE Trans. Microwave Theor. Tech.

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

F. Coppinger, A. S. Bhushan, and B. Jalali, IEEE Trans. Microwave Theor. Tech. 47, 1309 (1999).
[CrossRef]

S. T. Winnall and A. C. Lindsay, IEEE Trans. Microwave Theor. Tech. 47, 1385 (1999).
[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 Theor. Tech. 49, 1996 (2001).
[CrossRef]

IEICE Trans. Electron.

Y. Han, B. Jalali, J. Han, B. Seo, and H. Fetterman, IEICE Trans. Electron. E86-C, 1276 (2003).

J. Lightwave Technol.

Opt. Express

Opt. Lett.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Schematic of the spectrum sensing based on time stretch and compressive sampling.

Fig. 2.
Fig. 2.

Simulation results of single tone input. (a) Recovered spectrum θ and (b) time domain signal x(t) (solid curve) and reconstructed signal x=Wθ (dot).

Fig. 3.
Fig. 3.

Simulation results of multiple tones input. (a) Spectrum of the original signal x(t), (b) recovered spectrum θ (RCS=8), (c) time domain signal x(t) (solid curve) and reconstructed signal x=Wθ (dotted curve), and (d) recovered spectrum θ (RCS=16).

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

I(t)g2(t,τ2)[1+2αx(t/M)],

Metrics