The invention refers to an optical transmission method and an optical transmission system with high spectral bandwidth efficiency. The method is applicable for ASK/OOK (amplitude shift/on off keying) and for different kinds of phase modulations like DPSK (differential phase-shift keying).
Nowadays optical data transmission systems are transmitting optical signals with high data rates. However, high data rates require not only high bandwidths and expensive components at the transmitter and at the receiver but also degrade for a given modulation schema the signal quality according to the system and fiber impairments, e.g. filter distortions, chromatic and polarisation mode dispersion.
Different transmission methods like orthogonal frequency-diversity modulation OFDM or polarisation multiplex diversity are used to reduce the channel symbol rate and to overcome these impairments. But the realisation of these methods leads to complex systems.
Wavelength division systems split high data rate signals into two or more signals with lower data rates to overcome the impairments scaling with the data rate. But filters and different demodulators are necessary to separate and regain the data signals.
Caplan et al. OFC 2007, paper OThD3 describe a transmission method using only a single interferometer to demodulate several wavelength channels exploiting the periodic transfer function of an delay interferometer. Nevertheless separate filters and optical-electrical converters are still necessary for each channel.
The transmission methods may make use of different kinds of modulation, e.g. as intensity modulation, phase or difference phase modulation.
Especially difference phase shift keying DPSK is preferred for optical transmission systems. The performance of DPSK transmission is described by e.g. A. H. Gnauck and P. J. Winzer in IEEE Journal of Lightwave Technology, vol. 23, no. 1, pp. 115-130, January 2005.
It is an object of the invention to disclose a method and an optical transmission system with high bandwidth efficiency and low complexity.
This problem is solved by a method for transmitting and a receiving two modulated signals characterized by the features of claim 1 and 2 respectively, and a transmitter and a receiver characterized in claims 11 and 12 respectively.
Additional advantageously features are described in dependent claims.
The modulation of mixed carrier frequencies allows a simple separation of the modulation (data) signals. Only one optical demodulator and electrical-optical converter is necessary. The use of orthogonal signals allows the transmission in a narrow optical channel.
Preferable embodiments of the invention will now be described, by way of an example, in more detail in conjunction with appended drawings, wherein:
The simplified diagram of
The transmitter comprises two laser sources 1 and 2, each connected to an input of a first coupler 3 (3 dB optical coupler; combiner/splitter). The outputs of said first splitter 3 are connected to carrier inputs of a first modulator 4 and a second modulator 5 respectively. A first modulation signal a(t), corresponding e.g. to a digital data signal, is connected to a modulation signal input of the first modulator 4 and a second modulation signal b(t) is connected to a modulation signal input of the second modulator 5. The outputs of both modulators 4 and 5 are connected to a first combiner (3 dB optical coupler) 6. One output 7 is chosen as transmitter output.
The laser sources 1 and 2 emit a first carrier signals L1 with a first carrier frequency f1 and second carrier signal L2 with a second carrier frequency f2 having a phase difference compared to f1. The carrier signals L1 and L2 are fed to the inputs of the first coupler 3 (3 dB coupler/splitter).
The output signals of the first coupler 3 are the input signals of the modulators 4 and 5 neglecting constant factors can be derived as
The mixed carrier signals L1+jL2, jL1+L2 can also be derived by modulation a single laser source, e.g. as described in an article by A Sano, Proceedings of ECEC 2007, incorporated by reference.
The first mixed carrier signal L1+jL2 is modulated by the first modulation signal a(t) and the second mixed carrier signal jL1+L2 is modulated by the second modulation signal b(t):
with:
A1=Carrier L1 with modulation signal a(t),
A2=Carrier L2 modulated with modulation signal a(t),
B1=Carrier L1 modulated with modulation signal b(t),
B2=Carrier L2 modulated with modulation signal b(t),
j is the imaginary unit (sqrt(−1)),
the indices 1 and 2 are still indicating the carrier frequencies f1 and f2 respectively.
a(t) and b(t) are e.g. modulation signals representing a logic value of 1 or 0. Depending on the art of modulation the first modulated signal A1+jA2 and the second modulated signal jB1+B2 output from the modulators might be intensity or phase modulated.
The output signals of the modulators are combined by the first combiner 6 are
One of the output signals of the first combiner 6 is chosen as a transmission signal, e.g. the transmission signal according to the first line of the resulting matrix emitted at a first combiner output 7 (the signal emitted at a second combiner output 8 could also be used).
X=A
1
+jA
2
−B
1
+jB
2 (4)
or
X=(A1−B1)+j(A2+B2) (5)
Written as time depending equation, the transmission signal is
X(t)=(A(t)−B(t))ej(2πf
with
A(t) and B(t) correspond to baseband signals respectively modulation signals while the optical carrier signals are described in komplex form.
Applying equations (1) and (4) an intensity modulated transmission signal comes out as
X
A(t)=(L1+jL2)a(t))+(−L1+jL2)b(t)) (7)
If the mixed carrier signals are intensity modulated, e.g. by a first binary or logical data signal a(t) and a second binary or logical data signal b(t), the standardised amplitudes of (A1+jA2)=(L1+L2)a(t) and (jB1+B2)=(−L1+jL2)b(t)) may vary between 0 and 1 as functions of the modulating signals a(t) and b(t) respectively.
For a phase modulated signal, A(t) and B(t) correspond to baseband signals having a constant amplitude but different phases which might take the value of ejπ or e−jπ respectively and depend on the modulation signals a(t), b(t).
If DPSK (Difference Phase Shift Keying) is used the corresponding DPSK transmission signal is designated as XD(t).
An example of an optical spectrum S(X) (optical power PO as a function of the frequency f) of an optical transmission signal X(t) is shown in
Considering that the amplitude of the signals with different carrier frequencies f1 and f2 output from a modulator are always the same, we can simplify |A1|=|A2|=A and |B1|=|B2|=B. In general, the optical-electrical converter 10 squares the received transmission signal X(t) of equation (6). The different kinds of modulations need not be considered here.
Making further use of the mathematical relations, the squared electrical signal output from the optical electrical converter 10 is:
Y(t)=(A−B)+(A+B)2+2(A−B)(A+B)cos(2π(f1-f2)t−ΔΦ) (8)
which is equal to
Y(t)=2(A2+B2)+2(A2−B2)cos(2π(f1-f2)t−ΔΦ) (9)
After the first low pass filter 13 the signal
S
13=2(A2+B2) (10)
remains. In
In the lower signal path a synchronised oscillator 14, which receives via the second splitter 12 the electrical signal Y(t) for synchronisation, generates a phase-locked signal with an angular frequency co according to the difference f1-f2. The squared optical signal is modulated by said synchronized signal cos(ωt−ΔΦ).
Y
2(t)=2(A2+B2)+2(A2−B2)cos(ωt−ΔΦ)×cos(ωt−ΔΦ) (11)
Y
2(t)=2(A2+B2)cos(ωt−ΔΦ)+2(A2−B2)cos2(ωt−ΔΦ) (12)
Applying mathematical relations Y2(t) becomes
Y
2(t)=2(A2+B2)cos(ωt−ΔΦ)+(A2−B2)+(A2−B2)cos2(2ωt−2ΔΦ) (13)
This signal is amplified by factor 2 (or the signal S13 is attenuated). After the amplifier 16 and the second low pass filter 17 a second filter output signal
S
17=2(A2−B2) (14)
remains. This signal is added to the first filter output signal S13 by the first adder 18 and subtracted from S13 by the second adder 19. Therefore a first output signal A0 and a second output signal B0 becomes
A
0=2(A2+B2+A2−B2)=4A2 (15)
B
0=2(A2+B2−A2+B2)=4B2 (16)
which convey the logical values of the modulation signals a(t) and b(t).
Neglecting the constant factors 4 (which are also neglected in the drawings) the signals A2 and B2 are output at a first and second receiver output 20 and 21 respectively.
If for example DPSK (difference phase shift keying) is applied, phase modulators are used instead of intensity modulators (
The appropriate DPSK receiver comprises a common DPSK demodulator shown in
A received DPSK modulated transmission signal XDR(t) is received at the input 9 and split into two parts by a further splitter 22. A first signal part is led via a delay 23 to a first input to a second combiner (3 dB coupler) 24 and a sec- and signal part is directly fed to a second input of the combiner. Both outputs of the combiner are connected to a pair of electrical-optical converters 25 and 26. The output signals of which are fed to a further adder 27 or the electrical-optical converters 25 and 26 are connected in series in a well kwon manner. Because the delay time of the time delay corresponds to a symbol length the phase difference of two adjacent symbols is directly converted into an amplitude modulated signal YD(t).
The unaltered separation circuit 11-19 regains both modulation signals.
If multistage modulation is used, also multistage modulation signals representing symbols e.g. a(t)=f(a0(t), a1(t)) and b(t)=f(b0(t), b1(t)) are employed. A corresponding receiver comprises appropriate decision circuits for signal separation.
If e.g. a DQPSK (difference quadrature phase shift keying) transmission system is implemented, each modulated transmission signal has four different possible phases. The appropriate receiver comprises two of the receivers shown in
To reduce the transmission bandwidth optical carrier signals frequencies with a low frequency difference Δf=f1-f2 are chosen. To minimize the interaction between carriers and therefore the degradation due to intercarrier-interference, orthogonality is desired. Even an overlap of the spectra is feasible, when the carrier signals L1 and L2 are orthogonal:
or equivalent
f1-f2=Δf=n/T=n×symbol/s (18),
wherein T is the symbol duration, n is an integer, and symbol/s is the symbol rate of the modulation signal.
An appropriate example of an narrow optical spectrum S(XN) of the optical transmission signal and an associated electrical spectra S(YN) is illustrated in
General, to assure orthogonality, the duration of the pulse must be taken into account as well. But if modulation according to the invention is used, orthogonality is ensured regardless if RZ (return to zero) or NRZ (non return to zero) pulses are transmitted.
DQPSK (difference quadrature phase shift keying) and OOK (on-off keying) are orthogonal when NRZ pulses are used and the frequency separation between carriers Δf=symbol rate. If the frequency separation between carriers Δf=n×symbol rate, n=2, 3, NRZ or RZ might be used.
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/EP08/62634 | 9/22/2008 | WO | 00 | 5/27/2011 |