Abstract

We analytically investigate the signal performance of orthogonal modulation with slow amplitude-shift keying (ASK) data superimposed upon a high-speed differential phase-shift keying (DPSK) signal. The receiver sensitivities for both the ASK and the demodulated DPSK signals are formulated based on a probability model, and their dependence on the bit rate and the extinction ratio of the ASK data is theoretically investigated. A simple result of analysis of DPSK data performance has been derived. We verified the analytical results by experimental measurements.

© 2005 Optical Society of America

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References

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  1. T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
    [CrossRef]
  2. N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
    [CrossRef]
  3. X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
    [CrossRef]
  4. D. Marcuse, J. Lightwave Technol. 9, 505 (1991).
    [CrossRef]
  5. X. Zhang, G. Zhang, C. Xie, and L. Wang, Opt. Lett. 29, 337 (2004).
    [CrossRef] [PubMed]
  6. G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 2002), Chap. 4.
    [CrossRef]

2004 (3)

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

X. Zhang, G. Zhang, C. Xie, and L. Wang, Opt. Lett. 29, 337 (2004).
[CrossRef] [PubMed]

1996 (1)

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

1991 (1)

D. Marcuse, J. Lightwave Technol. 9, 505 (1991).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 2002), Chap. 4.
[CrossRef]

Agrawal, S. K.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Barry, C. F.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Chan, C. K.

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

Chen, L. K.

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

Chiang, T. K.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Deng, N.

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

Giles, R. C.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Hickey, M.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Hung, W.

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

Kang, I.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Kao, Y. H.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Kazovsky, L. G.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Leuthold, J.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Liu, X.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Marcuse, D.

D. Marcuse, J. Lightwave Technol. 9, 505 (1991).
[CrossRef]

Mayweather, D. T.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Sadot, D.

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

Su, Y.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Wang, L.

Wei, X.

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

Xie, C.

Yang, Y.

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

Zhang, G.

Zhang, X.

IEEE J. Sel. Areas Commun. (1)

T. K. Chiang, S. K. Agrawal, D. T. Mayweather, D. Sadot, C. F. Barry, M. Hickey, and L. G. Kazovsky, IEEE J. Sel. Areas Commun. 14, 824 (1996).
[CrossRef]

IEEE Photonics Technol. Lett. (2)

N. Deng, Y. Yang, C. K. Chan, W. Hung, and L. K. Chen, IEEE Photonics Technol. Lett. 16, 1218 (2004).
[CrossRef]

X. Liu, X. Wei, Y. Su, J. Leuthold, Y. H. Kao, I. Kang, and R. C. Giles, IEEE Photonics Technol. Lett. 16, 1594 (2004).
[CrossRef]

J. Lightwave Technol. (1)

D. Marcuse, J. Lightwave Technol. 9, 505 (1991).
[CrossRef]

Opt. Lett. (1)

Other (1)

G. P. Agrawal, Fiber-Optic Communication Systems (Wiley, New York, 2002), Chap. 4.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Typical waveform of an optical ASK–DPSK signal (left) and its receiver structure:  ϕ 0 , ϕ 0 + π , carrier phases of the optical DPSK signal.

Fig. 2
Fig. 2

DPSK receiver sensitivity versus ASK extinction ratio obtained through simplified analytical (solid curve) and numerical (other curves) approaches.

Fig. 3
Fig. 3

Receiver sensitivities of ASK–DPSK signals containing 10 - Gbit s DPSK signals and 1-, 1.25-, and 2.5 - Gbit s ASK signals, with different extinction ratios.

Tables (1)

Tables Icon

Table 1 Output Power of a Demodulated ASK–DPSK Signal

Equations (9)

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E ( t ) = m n { [ r + ( 1 r ) a m ] ξ ( t m T a t a 0 ) exp [ j π d n ζ ( t n T d t d 0 ) j ω t j ϕ 0 ] } ,
E out ( t ) = exp [ j ( π 2 ) ] [ ( 1 2 ) E ( t ) + ( 1 2 ) E ( t T d ) ] .
P n = 1 2 [ r + ( 1 r ) a m , n ] P exp ( j π d n ) + 1 2 [ r + ( 1 r ) a m , n 1 ] P exp ( j π d n 1 ) 2 = 1 4 [ r + ( 1 r ) a m , n ] 2 P + 1 4 [ r + ( 1 r ) a m , n 1 ] 2 P + 1 2 [ r + ( 1 r ) a m , n ] [ r + ( 1 r ) a m , n 1 ] P exp [ j π ( d n + d n 1 ) ] ,
prob III = prob { a m , n = 0 , a m , n 1 = 0 , d n = + 1 } = [ prob { a m , n = 0 , a m , n 1 = 0 } ] prob { d n = + 1 } = [ prob { a m , n = 0 , a m , n 1 and they abut } + prob { a m , n = 0 , a m , n 1 is the  same bit } ] ( 1 2 ) = [ ( 1 2 ) ( T d T a ) ( 1 2 ) + ( 1 2 ) ( 1 T d T a ) ] ( 1 2 ) = 1 4 ( 1 8 ) ( T d T a ) .
prob e , d = prob ( 0 ) prob ( 1 0 ) + prob ( 1 ) prob ( 0 1 ) = ( 1 2 1 4 T d T a ) 1 2 erfc ( I D R P I 2 σ I ) + ( 1 4 T d T a ) 1 2 erfc ( I D R P II 2 σ II ) + ( 1 4 1 8 T d T a ) 1 2 erfc ( R P III I D 2 σ III ) + ( 1 4 T d T a ) 1 2 erfc ( R P IV I D 2 σ IV ) + ( 1 4 1 8 T d T a ) 1 2 erfc ( R P V I D 2 σ V ) ,
prob e , d 1 2 1 2 erfc ( I D 2 σ T ) + 1 4 1 2 erfc ( r P R I D 2 σ T ) .
prob e , d 3 8 erfc ( Q d 2 ) , Q d = r P R 2 σ T .
P ¯ rec , d [ dBm ] = P ¯ rec , d , r = 1 [ dBm ] + 10 log 10 ( r + 1 ) ( 2 r ) .
P ¯ rec , a [ dBm ] = P ¯ rec , a , r = 0 [ dBm ] + 10 log 10 ( 1 + r ) ( 1 r ) .

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