Abstract

A continuously tunable microwave fractional Hilbert transformer (FHT) implemented based on a nonuniformly spaced photonic microwave delay-line filter is proposed and demonstrated. An FHT has a frequency response with a unity magnitude response and a phase response having a phase shift between 0 and π at the center frequency. A seven-tap photonic microwave delay-line filter with nonuniformly spaced taps is designed to provide such a frequency response. The advantage of using nonuniform spacing is that an equivalent negative coefficient can be achieved by introducing an additional time delay leading to a π phase shift, corresponding to a negative coefficient. An FHT operating at a center frequency around 8.165 GHz with a tunable order between 0.24 and 1 is implemented. A classical HT operating at a center frequency of 7.573 GHz with a bandwidth greater than 4.5 GHz is also implemented. The use of the classical HT to perform temporal Hilbert transform of a Gaussian-like electrical pulse is demonstrated.

© 2012 IEEE

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2011 (2)

Z. Li, W. Li, H. Chi, X. Zhang, J. P. Yao, "A continuously tunable microwave fractional Hilbert transformer based on a photonic microwave delay-line filter using a polarization modulator," IEEE Photon. Technol. Lett. 23, 1694-1699 (2011).

N. Q. Ngo, Y. Song, "On the interrelations between an optical differentiator and an optical Hilbert transformer," Opt. Lett. 36, 915-917 (2011).

2010 (4)

Y. Dai, J. P. Yao, "Nonuniformly spaced photonic microwave delay-line filters and applications," IEEE Trans. Microw. Theory Tech. 58, 3279-3289 (2010).

Y. Park, M. Asghari, R. Helsten, J. Azana, "Implementation of broadband microwave arbitrary-order time differential operators using a reconfigurable incoherent photonic processor," IEEE Photon. J. 2, 1040-1050 (2010).

M. Li, J. P. Yao, "All-fiber temporal photonic fractional Hilbert transformer based on a directly designed fiber Bragg grating," Opt. Lett. 35, 223-225 (2010).

M. Li, J. P. Yao, "Experimental demonstration of a wideband photonic temporal Hilbert transformer based on a single fiber Bragg grating," IEEE Photon. Technol. Lett. 22, 1559-1561 (2010).

2009 (3)

M. H. Asghari, J. Azaña, "All-optical Hilbert transformer based on a single phase-shifted fiber Bragg grating: Design and analysis," Opt. Lett. 34, 334-336 (2009).

Y. Dai, J. P. Yao, "Chirped microwave pulse generation using a photonic microwave delay-line filter with a quadratic phase response," IEEE Photon. Technol. Lett. 21, 569-571 (2009).

Y. Dai, J. P. Yao, "Microwave correlator based on a nonuniformly spaced photonic microwave delay-line filter," IEEE Photon. Technol. Lett. 21, 969-971 (2009).

2008 (3)

Y. Dai, J. P. Yao, "Nonuniformly-spaced photonic microwave delay-line filter," Opt. Exp. 16, 4713-4718 (2008).

H. Emami, N. Sarkhosh, L. A. Bui, A. Mitchell, "Wideband RF photonic in-phase and quadrature-phase generation," Opt. Lett. 33, 98-100 (2008).

H. Emami, N. Sarkhosh, L. A. Bui, A. Mitchell, "Amplitude independent RF instantaneous frequency measurement system using photonic Hilbert transform," Opt. Exp. 16, 13707-13712 (2008).

2007 (1)

2006 (1)

J. Capmany, B. Ortega, D. Pastor, "A tutorial on microwave photonic filters," J. Lightw. Technol. 24, 201-229 (2006).

2005 (1)

C. D. Holdenried, J. W. Haslett, B. Davies, "A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband," IEEE Microwav. Wireless Compon. Lett. 15, 303-305 (2005).

2000 (2)

S. C. Pei, M. H. Yeh, "Discrete fractional Hilbert transform," IEEE Trans. Circuits Syst. II, Analog Digital Signal Process. 47, 1307-1311 (2000).

C. C. Tseng, S. C. Pei, "Design and application of discrete-time fractional Hilbert transformer," IEEE Trans. Circuits Syst. II, Analog Digital Signal Process. 47, 1529-1533 (2000).

1996 (1)

IEEE Microwav. Wireless Compon. Lett. (1)

C. D. Holdenried, J. W. Haslett, B. Davies, "A fully integrated 10-Gb/s tapped delay Hilbert transformer for optical single sideband," IEEE Microwav. Wireless Compon. Lett. 15, 303-305 (2005).

IEEE Photon. J. (1)

Y. Park, M. Asghari, R. Helsten, J. Azana, "Implementation of broadband microwave arbitrary-order time differential operators using a reconfigurable incoherent photonic processor," IEEE Photon. J. 2, 1040-1050 (2010).

IEEE Photon. Technol. Lett. (4)

Y. Dai, J. P. Yao, "Chirped microwave pulse generation using a photonic microwave delay-line filter with a quadratic phase response," IEEE Photon. Technol. Lett. 21, 569-571 (2009).

Y. Dai, J. P. Yao, "Microwave correlator based on a nonuniformly spaced photonic microwave delay-line filter," IEEE Photon. Technol. Lett. 21, 969-971 (2009).

Z. Li, W. Li, H. Chi, X. Zhang, J. P. Yao, "A continuously tunable microwave fractional Hilbert transformer based on a photonic microwave delay-line filter using a polarization modulator," IEEE Photon. Technol. Lett. 23, 1694-1699 (2011).

M. Li, J. P. Yao, "Experimental demonstration of a wideband photonic temporal Hilbert transformer based on a single fiber Bragg grating," IEEE Photon. Technol. Lett. 22, 1559-1561 (2010).

IEEE Trans. Circuits Syst. II, Analog Digital Signal Process. (2)

S. C. Pei, M. H. Yeh, "Discrete fractional Hilbert transform," IEEE Trans. Circuits Syst. II, Analog Digital Signal Process. 47, 1307-1311 (2000).

C. C. Tseng, S. C. Pei, "Design and application of discrete-time fractional Hilbert transformer," IEEE Trans. Circuits Syst. II, Analog Digital Signal Process. 47, 1529-1533 (2000).

IEEE Trans. Microw. Theory Tech. (1)

Y. Dai, J. P. Yao, "Nonuniformly spaced photonic microwave delay-line filters and applications," IEEE Trans. Microw. Theory Tech. 58, 3279-3289 (2010).

J. Lightw. Technol. (1)

J. Capmany, B. Ortega, D. Pastor, "A tutorial on microwave photonic filters," J. Lightw. Technol. 24, 201-229 (2006).

Opt. Exp. (2)

Y. Dai, J. P. Yao, "Nonuniformly-spaced photonic microwave delay-line filter," Opt. Exp. 16, 4713-4718 (2008).

H. Emami, N. Sarkhosh, L. A. Bui, A. Mitchell, "Amplitude independent RF instantaneous frequency measurement system using photonic Hilbert transform," Opt. Exp. 16, 13707-13712 (2008).

Opt. Lett. (6)

Other (3)

X. Y. Wang, M. Hanawa, K. Nakamura, K. Takano, K. Nakagawa, "Sideband suppression characteristics of optical SSB generation filter with sampled FBG based 4-taps optical Hilbert transformer," Proc. Asia Pacific Conf. Commun. (2009) pp. 622-625.

K. Takano, N. Hanzawa, S. Tanji, K. Nakagawa, "Experimental demonstration of optically phase-shifted SSB modulation with fiber-based optical Hilbert transformers," Tech. Digest Opt. Fiber Commun. Conf./Nat. Fiber Opt. Eng. Conf. AnaheimCA (2007) Paper JThA48.

S. L. Hahn, Transforms and Applications Handbook (CRC Press, 2010).

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