This application is a 35 U.S.C. Section 371 of PCT/MX2007/000154 filed Dec. 14, 2007, which claims priority to Mexico Application No. NL/A/2006/000103 filed Dec. 15, 2006, which are incorporated herein by reference in their entirety.
An optical signal phase regenerator for phase shift differential modulation is presented. This regenerator is capable of regenerating the phase and the period of any optical modulation format in communications systems that use phase shift differential modulation.
In multichannel optical communication systems, different modulation formats may be utilized to transmit information over long distances. In digital communication systems, modulation formats use shifts in state, such as for example, a shift in the level of light power transmitted, a shift in the frequency of the light transmitted and also a shift in the phase of the light transmitted. Generally, there are three basic types of digital modulations which are used depending on the parameter selected:
ASK Modulation (Amplitude-Shift Keying). In this modulation the carrier is allowed to enter to represent bit 1, and is not transmitted to represent bit 0, digitally modulating the carrier's amplitude.
PSK Modulation (Phase-Shift Keying). The carrier is transmitted to represent 1 and the phase inverted carrier to represent 0, giving rise to a 180° phase jump in each transition from bit 1 to 0 and from 0 to 1, and for this reason it can be considered a digital modulation of the carrier phase.
FSK Modulation (Frequency-Shift Keying). An fc1 frequency carrier is transmitted to represent bit 1 and an fc2 frequency carrier to represent bit 0, being produced a digital modulation in frequency.
The wave forms of the basic types of modulation are shown in
Phase Shift Keying
The Phase Shift Keying (PSK) modulation format and variations of it, are currently frequently used in military as well as commercial communication systems. The general analytic expression for PSK is described according to B. Sklar (1988) “Digital Communications: Fundamentals and Applications” (First Edition) New Jersey, Prentice Hall as:
where the phase end, φ(t), will have M discrete values, typically expressed as
For example, of the binary PSK (BPSK) in
PSK modulation is usually used to obtain a modulation format which makes more sensitive detection mechanisms possible within the binary modulation schemes.
Below two different modulation formats are outlined and explained for which the regenerator proposed by this invention may be of application. This is done for the purpose of being able to explain with more clarity afterwards the operating of the phase regenerator described by this invention and also the transmission and receiver schemes which make up a multichannel communication system when modulation with phase shifts is used.
There are a great variety of modulation formats that use phase shifts to transmit information. In the following sections we will summarize the most modern modulation formats and on which a great many scientific articles have recently been published. These formats function through phase shifts such as Differential Phase Shift Keying (DPSK) and Differential Quadrature Phase Shift Keying (DQPSK).
Differential PSK Detection (Differential Phase Shift keying (DPSK)
The essence of PSK differential detection is that the identity of the data is referred to phase shifts between one symbol and another. The data are differentially detected examining the signal, where the transmitted signal is primarily differentially coded. In the case of DPSK modulation, the coded bit sequence, c(k), may be, generally speaking, obtained from the following two logical equations:
c(k)=c(k−1)⊕m(k)
or
c(k)=
where the symbol ⊕ represents a sum in module 2 and the overbar shows the logical complement. In said expressions, m(k) stands for the original sequence of data to transmit bit to bit, c(k) stands for the coded bit obtained based on the logical operations indicated by the above equations and c(k−1) refers to the coded bit obtained prior to bit c(k). Afterwards, the information from the coded signal c(k) is translated in a phase shift sequence, θ(k), where bit ‘1’ is characterized by a 180° phase shift and bit ‘0’ is characterized by a 0° phase.
It should be mentioned that the differential coding process of a band base bit sequence prior to the modulation constitutes one of the simplest forms of coding as protection against errors. The bit sequence that is transmitted through many of the communication systems may intentionally invert their value inside the channel. Many signal processing circuits cannot discern whether any of the bit values transmitted have been inverted or not. This characteristic is known as phase ambiguity. Differential coding is used as protection against this possibility.
Below, the differential coding process is outlined via a numerical example of the information bits prior to being transmitted with the DPSK format. As has already been mentioned, a differential coding system consists of an addition operation in module two as illustrated in
The manner in which a differential coder operates is described below. We are taking into account the bit sequence shown in
The decoding process performed in the receiver is the reverse of the process described above. The entering bit sequence is added together for the purpose of recreating the original data sequence as can be seen in
The receiver's decoder circuit operate in the following manner, according to Charan Langton, “Tutorial 2—What is Differential Phase Shift Keying?”. for each of the two possibilities shown in
The application of differential coding as phase shift coder arises from obtaining the formats of differential modulation (DPSK, DQPSK . . . ). The scheme of a DPSK detector is shown in
There are significant differences between the DPSK detector in
The DPSK modulation format in contrast with PSK is much less demanding that PSK given that the information is coded as a shift (or absence of shift) in the optical phase of the signal.
DPSK is directly related to the systems with high transmission rates given that the phase fluctuation between the bits of two signals are reduced.
Although non-synchronized demodulation of a PSK signal is not strictly possible because the information resides in the carrier signal phase, detection by comparison of the phase associated with DPSK reduces the problems of synchronization associated with PSK coherent systems.
Format with Quadrature Phase Shift (Quadrature Phase Shift Keying (QPSK))
Reliable behavior of a system, represented by a low probability of error, is one of the important points to bear in mind when designing a digital communication system. Another important characteristic to keep in mind is efficiency in the use of band width or spectral efficiency defined as the ratio of bit transmission between the separation between channels (or carriers) in a multichannel system.
In the Quadrature Phase-Shift Keying (QPSK) modulation format, as well as the PSK binary format, the information to transmit is contained in the signal phase that is transmitted. In particular, the carrier signal phase acquires one of the following phase values, which are spaced an equal distance apart π/4, 3π/4, 5π/4 and 7π/4 radians For these values, the signal transmitted may be defined according to Simon Haykin, “Communication systems”, 4th edition, Ed. John Wiley & Sons, pp. 311 as:
where E stands for the energy by the symbol of the signal transmitted and T stands for the duration of the symbol. The carrier signal frequency fc is equal to nc/T by one fixed integer nc. Each phase value corresponds to a single pair of bits.
Spatial Diagram of the QPSK Signal
By using trigonometric identities and starting with the previous equation, the energy of the signal transmitted st(t) may be redefined by the interval 0≦t≦T through the expression defined by Simon Haykin, “Communication systems”, 4th edition, Ed. John Wiley & Sons, pp. 311.
As a result of this representation two fundamental observations may be made:
There are two basic orthogonal functions between them, φ1(t) and φ2(t), contained in the expression si(t). Specifically, φ1(t) and φ2(t) are defined by a pair of carriers in quadrature, as referenced by Simon Haykin, “Communication systems”, 4th edition, Ed. John Wiley & Sons, pp. 311
The QPSK format has constellations of two sizes (N=2) and four points of information (M=4). The phase angles of which increase in direction exactly as shown in
Like the PSK modulation format, the QPSK possesses a minimum average power.
Differential Quadrature Phase Format Known as DQPSK which is the English Acronym for Differential Quadrature Phase Shift Keying
Given that this modulation format constitutes the basis of the research, analysis, and comparison in this invention, the details of the R(ZH)N-DQPSK, described by O. Vassilieva, et al in “Non-Linear Tolerant and Spectrally Efficient 86 Gbit/s RZ-DQPSK Format for a System Upgrade” (OFC 2003) and by R. A. Griffin, et al “Optical differential quadrature phase-shift key (oDQPSK) for high capacity optical transmission”, in Proceedings OFC'2002, pp. 367-368), where an exhaustive description of the architecture of transmitter and receiver schemes is given.
In the DQPSK modulation format, the information is coded in the optical signal phase in such a way that the phase may take one of these four possible values: 0, π/2, π and 3π/2 radians. Each value of the phase corresponds to one pair of bits, which is the symbol rate, exactly half of the bit rate. This characteristic makes any type of DQPSK format especially interesting because the effective “bit rate” of the transmission (B) only requires the use of B/2 from the electronic symbol rate. For example, it is possible to transmit at a bit rate of 40G bit per second with electronics that work at 20G Hertz due to the fact that in each symbol (identified by a phase shift) transmitted, two bits of information are sent.
DQPSK Signal Generation and Detection
In DQPSK modulation format, as in the DPSK format, it is necessary to precode the data in the transmitter to be able to use a simple and direct detection in the receiver. In the case of DQPSK, the necessary precoding function involves the implementation of a logical digital circuit which is considerably more complex than that associated with DPSK. Given that this is a multiphase modulation, with four different phase levels, the precoding function will posses two binary data entries, which will facilitate two outputs with the data that is already coded as described by R. A. Griffin, et al “Optical differential quadrature phase-shift key (ODQPSK) for high capacity optical transmission”, in Proceedings OFC'2002, pp. 367-368).
Power Spectrum of the RZ-DQPSK Signals
The spectrum of an RZ-DQPSK at the output of a transmission system, as well as its corresponding electrical signal in the receiver, may be observed in
In
This optical filtration, causes transitory responses due to phase shifts in the modulated signal exactly as shown in
It is important to mention that U.S. Pat. No. 6,323,979, describes a regenerator that uses optical phase modulation, using solutions, in a fiber optic transmission system, in which the signal is modulated by a clock. There are many differences regarding this invention, in fact, they are completely different. Note that the modulation format in number U.S. Pat. No. 6,323,979 is by phase distribution, using the sending of solutions, the phase difference between the information contained in the solution and the signal clock to synchronize the clock in the receiver. These details show that the patent is very different from ours.
a). Basic Forms of ASK Digital Transmission.
b). Basic Form of PSK Digital Transmission.
c). Basic Form of FSK Digital Transmission.
a). Signal Spectrum for DQPSK.
b). Electrical signal received from DQPSK after being optically filtered.
a). Modulated phase signal before being optically filtered.
b). Modulated phase signal after being optically filtered.
a). Entry into the amplitude modulator, optical signal.
b). Entry into the amplitude modulator, clock signal.
c). Outgoing signal of the amplitude modulator.
a). Outgoing signals of the amplitude modulator: signal with a phase difference of 180 degrees.
b). Outgoing signals of the amplitude modulator, delayed T/2 mirror site.
c). Outgoing signal of the amplitude modulator, sum of both signals.
a). Response from the control system: attenuation
b). Response from the control system: gain
c). Output voltage (Vout) vs Input Voltage (Vin).
a). Signals to the output of the photodetector.
b). Signals to the output of the control system.
a). DQPSK signal eye without regeneration.
b). DQPSK signal eye with regeneration.
a). DQPSK results, Q factor versus OSNR.
b). EOP results versus residual dispersion.
c). EOP results versus differential group delay.
d). EOP results versus transmission power.
a). D8PSK signal eye after the transmitter, i.e., 0 km.
b). D8PSK signal eye with regeneration at 400 km.
c). D8PSK signal eye with regeneration at 600 km.
a). D8PSK results, Q factor versus OSNR.
b). EOP results versus residual dispersion.
c). EOP results versus differential group delay.
d). EOP results versus transmission power.
The block diagram of the optical signal phase regenerator characteristic of this invention is shown in
In
In
Signals A1 and B1 enter into the Amplitude Modulator (8) and the outgoing signal (801) is sent to an optical coupler (9) that connects to a 180° signal phase shifter (10) and a half period temporary delay unit (11); the signals of each subsequently pass through an optical coupler (12) that generates two outgoing signals. One of these is directed to an optical amplifier (13), generating the outgoing signal (1301) that can follow two routes. The first of these goes through optical fiber (14) and arrives at the amplitude modulator (15); and the other route is to pass through a PIN photodetector (16) the function of which is to convert the optical signal (1301) to an electrical signal (1601), that passes through a level inverter (17) and through the amplitude modulator (15). As a result, both routes give an optical signal with differential modulation (1501) which enters the Receiver (18).
Continuing with the regenerator description in
In
It is important to mention that the regenerator shown in
c) shows the outgoing signal of the amplitude modulator. It can be observed that the shell still shows abrupt shifts and it can also be seen that we have quite abrupt shifts in the signal phase with a clear differentiation of the signal phase level. In this way, the transitory responses caused by the filtration have been removed leaving only those intervals where the optical signal shows a more stable behavior. This is the type of output that is obtained after the amplitude modulator indicated by the rate (801) in
Once the optical signal interval has been obtained where the information is less damaged,
Each of the mirror sites are processed separately in
To remove the effect of the transitory responses of the shell (power transitory responses), a power control is performed that maintains a constant level of the shell at the output. Keeping in mind the difficulty of implementing optical amplifiers of variable gain, a system is used that is based on variable attenuation and signal sections with excessively high power are attenuated more than those with a lower power.
Below the control signal is described for the variable attenuator followed by
To carry out the above, in first place we must amplify the signal to ensure that the level of the shell is greater than the level required at the output including the minimums of the shell. To increase the level of power, an erbium doped optical amplifier (13) is used. After amplifying the optical signal it is divided into two and one of the exits of the optical divider is connected to a photodetector (16). The photodetector (16) will give an electrical signal proportional to the shell of the optical signal at the entrance, as shown in
As can be seen in
The resulting signal (1701) will be injected into the electrical input of the respective amplitude modulator (15) in
The outgoing signal from the regenerator system, (
The architecture of a regenerator with three mirrors is described below:
In the paragraph above, an ideal phase regenerator based on two mirror sites was presented. Nevertheless, one might think about generalizing the system for a greater number of mirror sites like the regenerator shown in
The regenerator's operational principle based on three mirror sites is slightly different than the one with two mirror sites explained above.
This regenerator has three mirror sites (the same as the one with two mirror sites), it has two inputs. The first of these is an optical signal (A1) and the second is an electric control signal called (B1).
The electric control signal (B1) is generated when a clock signal (19) is sent to the temporary delay unit (20) which is controlled by an Electronic Control Circuit (21) so that the high clock level coincides with the maximum value of the shell and with the most stable phase value for each symbol. The Electronic Control Circuit (21) measures the quality of the signal received by the receiver (36) and sends a signal to the temporary delay unit (20).
The signals A1 and B1, enter the amplitude modulator (22) and is modulated by a clock signal (19) the duration of which is T/3. Period T is the period of a symbol. What the amplitude modulator does is to take a third of the signal symbol. Like the case of the regenerator with two mirror sites, what is taken from the incoming signal is the central part of a symbol where the phase information of the symbol is less damaged.
The mirror site or the copy of the signal (2201) generated by the amplitude modulator is sent to the first optical coupler (23) which produces two mirror sites. The first mirror site is sent at the same time to a second coupler (24) which generates a third mirror site plus letting a second incoming mirror site pass through. Afterwards, the signal reconstruction is made through two couplers (28 and 29) in cascade as can be seen in
In order to reconstruct the outgoing signal correctly the three mirror sites are added together where: the signal (2301) of the first mirror site is not delayed; the second mirror site (2401) is delayed by one third (25) of the symbol period; the third mirror site (2402) is delayed two thirds (26) of a period. Also, the first mirror site (2301) has no phase difference due to the fact that it crosses two couplers (23 and 29) and in neither of them is a phase difference produced, due to the fact that both enter through the incoming port and leave by the direct port. The second mirror site (2401) crosses four couplers (23, 24, 28, and 29) and for this reason has a loss of 12 dBs (3 dBs for each coupler) and for the configuration used only two of them has a phase shift of 90° (23 and 29), i.e., a total phase shift of 180° (27) is required to compensate for the phase shift introduced by the couplers (23 and 29). The third of the signals (2402) also crosses the four couplers (23, 24, 28, and 29) and it suffers a 12 dB loss. However, in this case the four couplers introduce a phase difference of 90° each producing a total phase difference of 360° and, therefore, the signal will not need to be compensated with an extra phase difference. The second as well as the third mirror site cross four couplers while the first only crosses two. This implies that the first of the mirror sites suffers a loss that is 6 dBs less than the other two. For this reason 6 dBs should be attenuated as shown in element (30) so that the three signals have the same level of power when leaving the couplers.
For the two mirror sites as well as the three mirror sites, the combination process of the mirror sites may be problematic due to the fact that you cannot be sure that a whole number of the optical signal periods will be replicated. However, this will have no effect on the exit since differential modulation is being used, the resulting signal is obtained from the phase difference between two symbols. [SIC] Lack of continuity in the phase, produced by the combination of the couplers' mirror sites of one symbol is compensated with the lack of continuity of the subsequent symbol.
Clock Signal
Even though [SIC] the clock signal (19) in
Synchronization of the clock signal for 2 and 3 mirror sites.
Synchronization of the clock signal with the information signal from the symbol period in the optical carrier is implemented through an Electronic Control Circuit (21) in
Results from the Phase Regenerator for Phase Shift Differential Modulation Formats
The optical transmission system used in the simulations is presented in
As is known, one of the main effects that limit an optical transmission system is chromatic dispersion. That is to say, we must minimize the residual dispersion to be able to obtain higher transmission rates. To reduce residual dispersion, dispersion compensation schemes are applied for the purpose of making the residual dispersion or dispersion at the end of the transmission system be at its lowest level possible.
To compensate for chromatic dispersion, what is proposed is to use the pre-compensation (39), online compensation (40), and post-compensation (41) strategy. For the pre-composition stage, we compensate for 30% of the dispersion from a monomode fiber section at the beginning and the remaining 70% at the end of the post-compensation stage. The online compensation sections compensate for 100% of the dispersion from the monomode fiber.
This dispersion compensation scheme has been widely used by different technologies, however, it only cancels dispersion for the central channel. The channels that are found at the ends of a multi-channel system see a non-null dispersion. The dispersion is greater when the distance is greater (in frequency) to the central channel and also the dispersion is greater when the transmission distance is greater, as is shown in
There are several strategies to resolve this problem with residual dispersion for channels that are far from the central frequency in a multi-channel communication system. One solution for high speed systems is to used variable dispersion compensation per channel for the channels affected. This scheme adds more cost to the transmission system and one must try to avoid this, however, there are cases in which it is necessary to implement them.
Fibers Used
The fibers used are shown in Table 2. There is information on the monomode transmission fiber and also on the compensation fiber.
Channel Band Width and Separation Between the Channels
To prove the feasibility of this invention we have used nine transmission channels at the transmission frequencies recommended by the ITU. The separation between channels that we used was 50 GHz. The optical filters that we used in the simulations for the multiplexors and demultiplexors have a Gaussian function of the third order. The bandwidth of these filters was optimized for the different modulation formats used and we made sure the filters did not produce any interference between channels greater than 25 dBm. In other words, the filters' bandwidth sought had to first comply with the separation between the channels and also that the optical filter would be sufficiently narrow so that it would not produce significant interference in the adjacent channels.
a) and
a) shows the results of the Q factor versus the Optical Signal to Noise Ratio parameter (Optical Signal to Noise Ratio OSNR) of the system with regeneration and without regeneration when white noise is added to the system coming from the erbium dopped optical amplifiers (Erbium Dopped Fiber Amplifiers). The transmission distance is 600 km. To obtain different values for the optical signal to noise ratio what was done was to shift the noise figure factor of the last amplifier. Changing this noise figure factor makes it possible to control the amount of white noise that the amplifier generates and therefore to vary the parameter of the optical signal to noise ratio OSNR. Factor Q is calculated using the following equation Q[dB]=20 log [(□1−o)/□1+{tilde over (□)}0] where 1 and □0 are the average voltages for 1's and 0's, also □1 and {tilde over (□)}0 are the standard deviations of the voltages of 1's and 0's, respectively.
Another parameter which is important to evaluate is the impact of the chromatic dispersion. It is very important that the modulation format be tolerant of the chromatic dispersion introduced by the optic fiber and the optic filters of the multiplexors and the demultiplexors of a communication system.
a), 24(b), and 24(c) show the results of the D8PSK modulation format. Note that this is a format that is different from the DQPSK. In D8PSK 3 bits of information are transmitted per symbol. For example, if we consider that the symbol rate is 21.5 GHz then the bitrate is 3×21.5=64.5 Gbit/s. D8PSK is a very recent modulation format. One of the advantages of this format is that it can transmit more bits of information per symbol, however, this merits 8 possible phase shifts. When there are fewer levels for the phase, the non-linear effects of the transmission system affect this modulation format with greater impact.
In
a), 25(b), 25(c), and 25(d) show the results of the D8PSK modulation format at 64.5 Gbit/s. Note that
To obtain these results a transmission distance of 600 km is used and a transmission power of −2 dBm for the transmission monomode fiber. If a limit for the eye-opening penalty is considered to be 0.5 dB, then, the third signal has a range for the residual dispersion of 35 ps/nm. Results of the polarization mode dispersion is another parameter to analyze.
Number | Date | Country | Kind |
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NL/a/2006/000103 | Dec 2006 | MX | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/MX2007/000154 | 12/14/2007 | WO | 00 | 9/28/2009 |
Publishing Document | Publishing Date | Country | Kind |
---|---|---|---|
WO2008/072945 | 6/19/2008 | WO | A |
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