Abstract

An incoherent photonic microwave filter implementing multiple positive and negative coefficients based on two sets of optical carriers and dispersive media is proposed and demonstrated. Positive and negative coefficients are obtained thanks to the π phase inversion in a single electro-optic Mach-Zehnder modulator as well as the modulator Vπ dependence with wavelength. To show the feasibility of this technique to implement practical filter transfer functions, the Parks-McClellan algorithm has been used to design a 5-tap flat bandpass filter. Experimental results show an excellent agreement with theory.

© 2006 Optical Society of America

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References

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  1. B. Moslehi, J. Goodman, M. Tur, and H. J. Shaw, "Fiber-optic lattice signal processing," Proc. IEEE, 72, 909-930 (1984).
    [CrossRef]
  2. J. Capmany, D. Pastor, and B. Ortega, 'New and flexible fiber-optic delay-line filters using chirped fiber Bragg gratings and laser arrays," IEEE Trans. Microwave Theory Tech. 47, 1321-1326 (1999).
    [CrossRef]
  3. N. You, and R. Minasian, "A novel high-Q optical microwave processor using hybrid delay-line filters," IEEE Trans. Microwave Theory Tech. 47, 1304-1308 (1999).
    [CrossRef]
  4. J. Capmany, B. Ortega, D. Pastor, and S. Sales, "Discrete-time signal processing of microwave signals," J. Lightwave Technol. 23, 702-723 (2005).
    [CrossRef]
  5. F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, "All-optical incoherent negative taps for photonic signal processing," Electron. Lett. 33, 973-975 (1997).
    [CrossRef]
  6. F. Zeng, J. Yao, "All-optical bandpass microwave filter based on an electro-optic phase modulator," Opt. Express 12, 3814-3819 (2004). <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3814">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3814</a>.
    [CrossRef] [PubMed]
  7. J. Capmany, J. Mora, B. Ortega, and D. Pastor, "Microwave photonic filters using low-cost sources featuring tenability, reconfigurability and negative coefficients," Opt. Express 13, 1412-1417 (2005). <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-5-1412">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-5-1412</a>.
    [CrossRef] [PubMed]
  8. J. Capmany, D. Pastor, A. Martinez, B. Ortega, and S. Sales, "Microwave photonic filters with negative coefficients based on phase inversion in an electro-optic modulator," Opt. Lett. 28, 1415-1417 (2003).
    [CrossRef] [PubMed]
  9. B. Vidal, J. L. Corral, and J. Martí, "All-optical WDM microwave filter with negative coefficients," IEEE Photon. Technol. Lett. 17, 666-669 (2005).
    [CrossRef]
  10. G. L. Li, and P. K. L. Yu, "Optical intensity modulators for digital and analog applications," J. Lightwave Technol. 21, 2010-2030 (2003).
    [CrossRef]
  11. A. Oppenheim and R. Schaffer, "Discrete time signal processing," (Prentice Hall Englewood Cliffs, NJ, 1989).
  12. B. Vidal, J. L. Corral, and J. Martí, "Statistical analysis of WDM photonic microwave filters with Random Errors," IEEE Trans. Microwave Theory Technol., 53, 2600-2603, (2005).
    [CrossRef]

Electron. Lett. (1)

F. Coppinger, S. Yegnanarayanan, P. D. Trinh, and B. Jalali, "All-optical incoherent negative taps for photonic signal processing," Electron. Lett. 33, 973-975 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

B. Vidal, J. L. Corral, and J. Martí, "All-optical WDM microwave filter with negative coefficients," IEEE Photon. Technol. Lett. 17, 666-669 (2005).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (2)

J. Capmany, D. Pastor, and B. Ortega, 'New and flexible fiber-optic delay-line filters using chirped fiber Bragg gratings and laser arrays," IEEE Trans. Microwave Theory Tech. 47, 1321-1326 (1999).
[CrossRef]

N. You, and R. Minasian, "A novel high-Q optical microwave processor using hybrid delay-line filters," IEEE Trans. Microwave Theory Tech. 47, 1304-1308 (1999).
[CrossRef]

IEEE Trans. Microwave Theory Technol. (1)

B. Vidal, J. L. Corral, and J. Martí, "Statistical analysis of WDM photonic microwave filters with Random Errors," IEEE Trans. Microwave Theory Technol., 53, 2600-2603, (2005).
[CrossRef]

J. Lightwav e Technol. (1)

G. L. Li, and P. K. L. Yu, "Optical intensity modulators for digital and analog applications," J. Lightwave Technol. 21, 2010-2030 (2003).
[CrossRef]

J. Lightwave Technol. (1)

J. Capmany, B. Ortega, D. Pastor, and S. Sales, "Discrete-time signal processing of microwave signals," J. Lightwave Technol. 23, 702-723 (2005).
[CrossRef]

Opt. Express (2)

F. Zeng, J. Yao, "All-optical bandpass microwave filter based on an electro-optic phase modulator," Opt. Express 12, 3814-3819 (2004). <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3814">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3814</a>.
[CrossRef] [PubMed]

J. Capmany, J. Mora, B. Ortega, and D. Pastor, "Microwave photonic filters using low-cost sources featuring tenability, reconfigurability and negative coefficients," Opt. Express 13, 1412-1417 (2005). <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-5-1412">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-5-1412</a>.
[CrossRef] [PubMed]

Opt. Lett. (1)

J. Capmany, D. Pastor, A. Martinez, B. Ortega, and S. Sales, "Microwave photonic filters with negative coefficients based on phase inversion in an electro-optic modulator," Opt. Lett. 28, 1415-1417 (2003).
[CrossRef] [PubMed]

Proc. IEEE (1)

B. Moslehi, J. Goodman, M. Tur, and H. J. Shaw, "Fiber-optic lattice signal processing," Proc. IEEE, 72, 909-930 (1984).
[CrossRef]

Other (1)

A. Oppenheim and R. Schaffer, "Discrete time signal processing," (Prentice Hall Englewood Cliffs, NJ, 1989).

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Figures (6)

Fig. 1.
Fig. 1.

Concept of the π phase inversion suffered by a microwave modulating signal. Typical output/input optical power transfer function of a MZM as a function of the bias voltage (Vbias).

Fig. 2.
Fig. 2.

Experimental results showing the MZM transfer function dependence with wavelength. The solid line corresponds with the transfer function of the MZM at 1550.8 nm whereas the dashed line corresponds with the transfer function of the MZM at 1307.6 nm.

Fig. 3.
Fig. 3.

Concept of the two sets of optical carriers used to implement positive and negative coefficients.

Fig. 4.
Fig. 4.

Multi-tap photonic microwave filter with positive and negative coefficients. ODL: optical delay line.

Fig. 5.
Fig. 5.

Experimental setup using five optical carriers, a 10 km SSMF coil and an amplitude distribution given by the Parks-McClellan algorithm for transversal filter design.

Fig. 6.
Fig. 6.

Experimental transfer function of the photonic microwave filter setup of Fig. 5 with an amplitude distribution equal to [-0.08 -0.3 0.61 -0.3 -0.08]. The solid line represents the experimental results and the dotted the theoretical prediction.

Equations (2)

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V π = λ n 0 3 r ij d γL
Δ τ = L∙ λ 1 λ 2 D ( λ ) = L∙ S 0 8 ( λ 2 2 λ 1 2 ) [ 1 λ 0 4 λ 1 2 λ 2 2 ]

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