11 - analysis of modulation format in the 40gbs optical communication system
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OpticsOptikptik
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Analysis of modulation format in the 40 Gbit/s opticalcommunication system
Aihan Yina,b,, Li Lib, Xinliang Zhanga
aInstitute of Optoelectronics Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinabSchool of Information Engineering, East China Jiaotong University, Nanchang 330013, China
Received 12 October 2008; accepted 6 February 2009
Abstract
Three different modulation formats including nonreturn-to-zero (NRZ), return-to-zero (RZ), carrier-suppressed
return-to-zero (CS-RZ) and the differential phase keying (DPSK) modulation format of each code are introduced in
the article. A method of their modulated signal generation with computer is described, and a comparison of their
spectra and waveforms is made. The 40 Gbps signal transmitted in 200 km G.652 fiber by way of single channel with
erbium-doped-fiber-amplifier (EDFA) is simulated for these three formats. The ability of anti-dispersion and anti-
PMD is analyzed. It is shown that RZ and CS-RZ formats are more tolerant than NRZ format in the same conditions.
Crown Copyright r 2009 Published by Elsevier GmbH. All rights reserved.
Keywords: Optical communication; Modulation format; NRZ; RZ; CS-RZ
1. Introduction
With the rapid development of the next generation of
optical fiber transmission information system, 40 Gbps
optical fiber transmission system and its wavelength-
division multiplexing (WDM) system have been the
focus of research. In order to enhance the capacity of the
system and diminish the degradation of performance,
which would be caused by the loss of transmission,
systems engineering and optimization would be impor-tant. Thereinto the optical code pattern would be the
important factor deciding spectrum efficiency, transmis-
sion quality and dispersive tolerance of the system.
Thus, the chosen code pattern is the first factor in the
high-speed optical transmission system [1,2].
The application of an optical fiber transmission
system and a dense-wavelength-division-multiplexing
system markedly decreases dispersive tolerance, and
the non-linearity effect has an impact on system
performance. Traditional nonreturn-to-zero (NRZ)
code-pattern would not have met the demand, while
needing other new modulation formats. Many code-
patterns have been proposed in terms of a 40 Gb/soptical transmission system [311], such as return-to-
zero (RZ) [3], besides the RZ of the carrier suppressive
(CS-RZ), single sideband-RZ (SSB-RZ), duojdecimal-
RZ (D-RZ), mend duojdecimal-RZ (MD-RZ) [4],
RZDPSK [5,6], full spectrum return-to-zero (FSRZ)
and chirp return-to-zero (CRZ). DPSK and RZ are
better than NRZ in terms of anti-noise. RZDPSK is
better than NRZ in influencing anti-dispersive charac-
ter. CS-RZ, CRZ and DPSK are better than NRZ in
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0030-4026/$ - see front matter Crown Copyrightr 2009 Published by Elsevier GmbH. All rights reserved.
doi:10.1016/j.ijleo.2009.02.021
Corresponding author at: Institute of Optoelectronics Science and
Engineering, Huazhong University of Science and Technology, Wuhan
430074, China.
E-mail address: [email protected] (A. Yin).
Please cite this article as: A. Yin, et al., Analysis of modulation format in the 40 Gbit/s optical communication system, Opt. Int. J. Light Electron.
Opt. (2009), doi:10.1016/j.ijleo.2009.02.021
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terms of non-linear effect. SSB is better than NRZ in
terms of spectrum effectiveness. Recently, some code-
patterns have been studied, which include differential
quadrature phase keying (DQPSK) [7], intensity mod-
ulation-DPSK (IM-DPSK) [8] and the prefiltered
CS-RZ [9]. NRZDPSK, RZDPSK and CS-RZ
DPSK use the phase change of the close codes showingsignals 0 and 1. Their spectra are smooth and do
not have any linear spectrum. IM-DPSK should
diminish the optical intensity change of close codes, in
order to decrease chatter and non-linearity. Differential
quadrature phase keying (DQPSK) makes the phase
change in the code of 2 bytes. Prefiltered CS-RZ is used
to filter the CS-RZ in order to decrease the width of the
spectrum and enhance spectrum efficiency.
In this paper, consider, for example, 40 Gbps , the
way of modelization of NRZ, RZ and CS-RZ with
computer analyses the optical spectrum. The 40 Gbps
signal transmitted in the 200 km G.652 fiber using a
single channel with erbium-doped-fiber-amplifier
(EDFA) is simulated for these three formats. Thus, we
can obtain a better code-pattern with high spectrum
efficiency and high tolerance for optical noise and non-
linearity effect.
2. The principle and characteristic of the
code-pattern
2.1. The principle of chosen code-pattern
Three principles should be followed for the modula-
tion format: firstly, the compact modulation signal
spectrum should be good at enhancing the operating
factor of the spectrum and the dispersive tolerance of
group velocity; secondly, non-linearity tolerance should
be high; thirdly, the structure of the transmitter and
receiver should be simple.
2.2. The principle of NRZ
We usually use the MachZehnder modulator (MZM)
and the consecutive wave (CW) laser in the modulationsystem. Except for the NRZ, their appearance would be
performed by the two concatenations of MZM. These
two concatenations of MZM play different roles. The
first MZM is used to bring various pulses by the drive of
the clock signal. The second one is used to load the data.
Fig. 1 shows the frame of the NRZ signal of the
optics. When 1 is transmitted in the NRZ, optical
signal impulse occupies a whole bit-time; when there is
no optical pulse, the signal is 0. The realization of the
coding is simple, only needing a high-speed exteriormodulator that can work effectively at the speed of
10 Gbps. The advantages of NRZ are the simplicity of
application, low cost and high spectrum efficiency,
which can be used widely in synchronous digital
hierarchy (SDH) and wavelength-division-multiplexing
systems. Under an ~10 Gbps system, we use the NRZ
modulation model. The disadvantage of NRZ is that the
transition does not return to zero between two codes,
the sensitivity for transmission loss. Therefore, it is not
suitable for high-speed and extra long-distance trans-
mission.
2.3. The principle of RZ and CS-RZ
Fig. 2 shows the frame of the principle of the
generation of RZ and CS-RZ, which is composed of
the two concatenations of MZM. The technology of RZ
code has come up recently, which is used in high-speed
40Gps optical transmission systems. In the pulse
sequence of the RZ code, the transition area that
connects 1 amplitude of electric field has an indepen-
dent time envelope. Because the modulation format of
RZ has a different transition all the time in the code bits,
it can bring more neatness optical signal in order to
unscramble the receiver. The advantage of RZ is the low
average of optical power and higher ability for anti-non-
linearity effect and anti-polarization mode dispersion
(PMD) [12]. The RZ code is also more conducive to
clock recovery. Because the consecutive 1 of NRZ is a
whole, the eye pattern of RZ code stretches more, the
anti-error-code performance becomes better, and im-
proves the 3 dB of the optical signal-to-noise ratio
(OSNR).
The CS-RZ code is based on the traditional RZ code,
and joins the phase separation ofp in each adjacent sign
bit (irrespective of whether the sign bit is 0 or 1).
The phase separation of the carrier can be regarded asthe signal with a minus but the carrier is invariable. The
typical value of this signal with positive and negative
ambipolar is 0, so there is no pinnacle in the zero
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CW-Laser MZM
40Gb/s
optical NRZ
40Gb/s
eletrical NRZ
Fig. 1. Blocks diagram of NRZ.
CW-Laser MZM
40Gb/soptical RZ
40Gb/seletrical RZ
MZM
40Gb/sclock RZ
Bias
Fig. 2. Blocks diagram of RZ/CS-RZ.
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frequency because without D function (impulse func-
tion), after multiplying the corresponding carrier, there
is also no pinnacle in the carrier. In the CS-RZ, because
the sign about the consecutive code of amplitude of the
electric field is reversed, we can obtain the low width of
spectrum. The high power not only increases the
dispersive capacity but also enhances the resistance ofthe non-linearity of self-phase modulation (SPM), four-
wave-mixing (FWM), etc.
3. Code-type wave shape and spectral analysis
3.1. Wave analysis of code type
At present, we often use MZM to produce the
modulation code; MZM is the ~two interconnected
3 dB coupler. While a DL optical path difference exists
between two wave-guides, there can be phase modula-tion produced by the two signals at the output. As
shown in Fig. 1, with the MachZehnder interferometer
(MZI) modulator modulating for the CW laser lamp-
house, the electric 40 Gbps NRZ signal (27-1 pseudo-
random binary sequence) would become a 40 Gbps
NRZ optical signal. For Fig. 2, the first MZI has the
same working theory as MZI of Fig. 1, the only change
is the electric 40 Gbps of NRZ into RZ (duty factor is
0.5); the second MZI should be controlled by the sine-
wave clock and voltage bias on two spur tracks of MZI,
getting through to modulate the amplitude, frequency,
phase and the voltage bias, so as to obtain the optical
signal of RZ and CS-RZ.
Thus, we might as well input light field:
Eint jE0jejoct (1)
After passing the MZM, after the phase modulation,
the light field would be
Eoutt Eint
2ejj1t ejj2t (2)
j1t p
2
1
VpV1m sino1t C1 V1 (3)
j2t p2
1Vp
V2m sino2t C2 V2 (4)
where the Vim, oi( 2fip) and Ci (i 1, 2) are the
amplitude, angular frequency and phase of the clock
signal on two spur track of MZI, respectively. V1, V2can provide the voltage bias on two spur track of MZI
separately. When the single arm works causing
the appearance of phase separation, Vp
is the switch
voltage from the max to the min. In order to make
the MZM work at the station without chirp, we can
add the voltage of two single arms to a fixed voltage
bias. That is V1 (t)+V2(t) Vbias; thus the output of
the light field is
Eoutt Eint cosp
2VpVin Vbias
ejpVbias=2V (5)
The output of the light intensity is
Poutt Pint cos2 pVin Vbias
2Vp
(6)
The RZ code with dutyfactor 50% can set the input of
the electrical clock signal as
Vin Vp
2sin o0t; the bias voltage is
Vp
2(7)
Then the light field and light intensity of RZ can be
derived from Eqs. (3) and (4):
Eoutt Eint cosp
2sin o0t
(8)
Pout
t Pint
21 cosp sin o
0t (9)
In the above formulae, the optical impulse cycle is
2p/o0, the angle frequency is o0and the full-width at
half-maximum (FWHM) is p/o0.
The CS-RZ code would be set as the input of electri-
cal clock signal, where Vin Vp sino0t and the voltage
bias is Vp
Eoutt Eint cosp
2VpVp sin o0t Vp
ejp=2 (10)
Poutt Pintsin2 p
2sin o0t (11)
In the above formula, the optical impulse cycle is
p/o0, angle frequency is 2o0 and the FWHM is 2p/3o0.
3.2. Optical spectrum analysis of the code-pattern
According to the above theoretical expression
of various code-models, using the method of optical
spectrum towards random signal in the communication
theory, the power spectrum density of the random pulse
sequence divides into two parts: consecutive spectrum
[Pu(o)] and linear-spectrum [Pv(o)]. By computing, the
power spectrum of the NRZ code is given by
PEf 12Tssapfc fTs
2 12dfc f (12)
Pf f0
X1N0
J2n1p
2
2n 1f02pf fcf fc
2 2n 12f20
(
cospf fc
2f0
2X1
1
df fc 2n 1f0
(13)
From the above analysis, it is seen that the CS-RZ
optical spectrum has a 40 GHz distance of stair linear-
spectrum. No linear-spectrum existed, which is because
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of the change of p phase between the two pulses. The
power spectrum of the RZ code is
gt ejp=4 J0p
4
2
X1n1
J2np
4
cos2nomt
(
2X1n0
J2n1p
4
sin2n 1o0t
)
df fc 2nf0 (14)
The expression of the RZ optical spectrum shows that
the linear spectrum exists in the RZ optical spectrum.
From Table 1 and this formula, the FWHM of theNRZ signal is 25 ps, the FWHM of RZ is 12.5 ps and the
CS-RZ is 12.5ps. Figs. 35 show the spectrum of
modulation format. Fig. 3 shows the wave and the
spectrum of NRZ; the spectrum width of NRZ is about
80 GHz (the distance between secondary line spectrum).
Fig. 4 shows the wave and the spectrum of the RZ code,
and the spectrum width is 160 GHz. Fig. 5 shows the
wave and the spectrum of the CS-RZ code, and the
spectrum width is 120 GHz with no carrier wave. This
section, by comparing the NRZ, RZ and CS-RZ
between the single pulse wave and the spectrum, obtains
the concrete transmission characteristic of variousmodulation formats [5,10].
3.3. Analysis of spectrum by three kinds of
modulation formats
The impulse width of NRZ is the largest in these six
kinds of modulation formats, and so intersymbol
interference easily occurs, is sensitive to transmission
loss, influencing the non-linear effect, but the spectrum
of NRZ is narrow, which is good for decreasing the
interference of the inter-channel WDM system.
The dutyfactor of the RZ code will reduce; impulse
width is smaller than NRZ, which can restrain the non-
linear effect of optical fiber, suitable to work in the high-
power and long-distance transmission condition. How-
ever, the spectrum of RZ code is wide and dispersive
capacity decreases markedly, which is not good for
management.
The impulse width of CS-RZ is smaller than NRZ; the
spectrum width is between the NRZ and RZ. Part of the
carrier wave is blocked, thus it not only becomes smaller
and increases the dispersive capacity but also becomes
stronger in its ability to resist the non-linear effect.
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Fig. 3. Wave and spectrum of NRZ: (a) wave of NRZ; (b)
spectrum of NRZ and (c) spectrum of NRZDPSK.
Table 1. Parameter of selected RZ and CS-RZ.
Type V1m V1m F1 (GHz) F2 (GHz) C1 C2 V1 V2
RZ Vp
Vp
40 40 180 0 Vp
Vp
CS-RZ Vp
Vp
20 20 180 0 Vp
0
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Fig. 4. Wave and spectrum of RZ: (a) wave of RZ; (b)
spectrum of RZ and (c) spectrum of RZDPSK.
Fig. 5. Wave and spectrum of CS-RZ: (a) wave of CS-RZ; (b)
spectrum of CS-RZ and (c) spectrum of CS-RZDPSK.
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The spectrum of NRZ is the most compact in the one-
lever sideband and baseband, which results in the cost of
eye pattern stretch becoming smaller comparatively
caused by the wave variation and the interference.
Because the NRZ spectrum contains the residual carrier
element, it would be affected by the FWM interference
in the low dispersive optical fiber.The spectrum of RZ has the linear-spectrum ob-
viously in the one-lever sideband and baseband; the one-
lever sideband will overlap in the adjacent channel of the
WDM system, which has a minor interval. So it can
arouse badly interference between the adjacent channels.
Then its optical spectrum width is bigger than NRZ and
CS-RZ so as not to assure the optical efficiency in the
receiver.
In parallel to NRZ, the optical spectrum shape of
CS-RZ is prohibited in the frequency element of a
carrier wave. But two interval linear-spectra with a
period of a byte frequency appeared, which is 40 GHz in
this article. When the frequency interval of the WDM
channel is greater than 100 GHz, this characteristic can
diminish the loss of FWM, but it can result in serious
loss of FWM when the frequency interval is 75 GHz.
The spectrum width of CS-RZ is between NRZ and RZ.
In the baseband and first-order sideband which do not
conclude the linear-spectrum element, three kinds of
DPSK signals have no pinnacle because of itself
characteristic, which can prohibit the non-linear effect
in the optical fiber such as FWM and SRS. In terms of
spectrum shape, there are some successive performances
between the NRZDPSK and NRZ, RZDPSK and
RZ, and CS-RZDPSK and CS-RZ. The spectrumwidth of NRZDPSK is the smallest, followed by CS-
RZDPSK and RZDPSK is the biggest.
4. Analysis of transmission performance
4.1. Performance of anti-dispersive code format
Different codes have different spectra; the widths of
various spectra determine the dispersion that has
different effects. Dispersion is the width of the pulse
wave caused by diverse waves transmitted in the optical
fiber differently. When the pulse width is of a certain
extent, it affects the inter-code interference badly.
Towards the transmission system of 40 Gbps, we should
consider the anti-dispersion characteristic of different
codes [13]. As shown in Fig. 6, the anti-dispersion
characteristic of DPSK and RZ, NRZ is compared.
With the same input power, the peak value power of RZ
is two times that of NRZ; thus after the transmission of
optical fiber the RZ power can converge intensely.
However, since the power of NRZ is dispersive, using
the RZ code is good for enhancing the acceptable
sensitivity so as to decrease the requirement of OSNR
in the transmission system. We can conclude the
optimal optical anti-dispersive performance of RZ
DPSK (Fig. 5).
4.2. The anti-PMD ability of code format
In the standard single-mode optical fiber, the base
mode is composed of a couple of vertical polarization
modes. Only when it is located in the round symmetry
with a refractive index, the half of the whole opticalpower of each mode carrier transmits in the same speed
and arrives at the optical port simultaneously and
becomes a single mode. Because the practical fiber with
different refractive indexes is not isotropic, the speed of
the mode will be influenced. It can be transmitted with
different speeds to cause the dispersion of signals. This
phenomenon is called polarization mode dispersion.
PMD has a little effect on speed under 10 Gbps, which is
why it is not basically considered. Considering speeds of
10 Gbps and above, the less-extrusive polarization mode
dispersion can become the key factor in limiting the
performance of the system [14]. When the speed of the
single channel comes to 40 Gbps, polarization mode
dispersion would give rise to the high-level effect
obviously, which has a severe effect on the transmission
performance of the system. Assuming the power of
PMD to be 1 dB, the 10 Gbps non-electric relay system
has the maximum transmission distance of 200 km; thus
correspondingly, the 40 Gbps system has only 25 km
distance, and so the linear modulation code should
consider the ability of anti-PMD dispersion effect. The
anti-PMD performance of each code is compared below,
as shown in Fig. 7. From the comparison we can
conclude that RZ code has the best ability of anti-PMD.
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0
-1
0
1
2
3
4
5
6
7
8
RZ
RZ-DPSK
NRZ
NRZ-DPSK
V2*L*D[104 (GHz)2]
2 4 6 8 10
PowerPenalty
(dB)
Fig. 6. The contrast of some different modulate methods.
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5. The format of transmission system and the
results of simulations
The system should be configured for simulations. Thetransmitter uses the CW laser, which has a wavelength
of 1550 nm. With the input MZM of NRZ electrical
signal generates the optical NRZ and can be sent to
the circuitry. The CS-RZ is composed of two MZM
concatenations: the first one produces the NRZ and is
sent to the second level; from the output CS-RZ of the
second level and the second MZM modulator, the RF
port transmits the sin clock signals when the transmis-
sion speed is half. The transmission speed is 40 Gbps
and the signal sequence is 27-1. The transmission optical
fiber is composed of five different single-mode fibers
(SMFs) with the length of 50 km, and the whole length is
250km. The dispersion compensation uses the disper-
sion compensation fiber (DCF). The parameter of SMF
and DCF is shown in Table 2. The various simulations
of codes are shown in Fig. 8.
The best remaining dispersion of NRZ is 10 ps/nm;
the dispersion capacity of 1 dB Q value is 60 ps/nm.
Owing to the bad performance of the system, when the
Q value is 16.9dB (BER 1012), the remaining
dispersion scope is 45 ps/nm. When using the CS-RZ
code, the best remaining dispersion is 15 ps/nm, and
the dispersion capacity of 1 dB Q value is 60 ps/nm,
which is the same as the NRZ code. But when Q is
16.9 dB with good performance of the system, the scope
of the remaining dispersion is 100 ps/nm. Irrespective of
whether we use the NRZ or CS-RZ, the dispersion
capacity of the system is also extraordinary small. Thus,
accurate dispersion management is absolutely necessa-
rily in the 40 Gbps transmission system. We can get the
eye pattern through the computer simulations, which are
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0.0-1
0
1
2
3
45
6
7
8
9
10
11
Powerpenalty(dB)
Date/T
NRZ
NRZ-DPSK
RZ
RZ-DPSK
0.2 0.4 0.6 0.8
Fig. 7. The contrast of anti-disperse of PMD.
Table 2. Parameter of SMF and DCF.
Item name SMF DCF
Attenuation (dB/m) 0.275 0.625
Disperse (ps/nm km) 17 85
Disperse slope (ps/nm2 km) 0.058 0.029
Available area (mm2) 80 14.4
Non-linearity index (1020 m2/W) 2.5 3.2
Fig. 8. The figure of receiver (Q 6): (a) the figure of receiver
(NRZ); (b) the figure of receiver (RZ) and (c) the figure of
receiver (CS-RZ).
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shown in Fig. 8. When Q is 6 from the eye pattern of the
receiver, we can get the same pattern between RZ and
CS-RZ, because they are also the RZ, and the difference
is only the dutyfactor between the two. The dutyfactor
of CS-RZ is bigger than the RZ, and the upper jitter of
NRZ is comparatively severe.
6. Conclusions
In this article, 40Gbps optical signals of three
modulation formats through computer simulation were
produced and its wave shape and optical spectrum were
compared. Then the performance of dispersion com-
pensation is simulated through the non-zero dispersion
shifted fiber by a single-channel transmission mode.
The following results are obtained: the ability of anti-
nonlinear and anti-PDM of RZ and CS-RZ is stronger
than NRZ under the complete dispersion compensationcondition. We can enhance the quality of transmission
through appropriate dispersion compensation. In the
future, we can carry out further research on the
following aspects: carry on further the research on
non-linear phenomena in the high-speed optical fiber
transmission and find a way of restraining them. Further
research on the dispersion management should be done
for better transmission performance.
References
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Please cite this article as: A. Yin, et al., Analysis of modulation format in the 40 Gbit/s optical communication system, Opt. Int. J. Light Electron.
Opt. (2009), doi:10.1016/j.ijleo.2009.02.021
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