Optical OFDM. a Hype or is It for Real

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    Optical OFDM, a hype or is it for real?Sander L. Jansen

    1, Itsuro Morita

    2, Kamyar Forozesh

    3, Sebastian Randel

    4, Dirk van den Borne

    1

    and Hideaki Tanaka2

    1: Nokia Siemens Networks, Munich, Germany, email: [email protected]

    2: KDDI R&D Laboratories, Saitama, Japan3: Department of Astronomy and Space Physics, Uppsala University, Uppsala, Sweden

    4: Siemens AG, Corporate Technology, Munich, Germany

    Abstract During the last two years, numerous researchers have dedicated their work in optical OFDM and,

    consequently, the number of papers has grown exponentially. In this paper we evaluate the suitability of OFDM

    for long-haul 100GbE applications.

    Introduction

    Optical OFDM is currently a hot topic in the fiber-optic

    research community and the number of optical OFDM

    research papers published in international

    conferences and journals has grown exponentially

    over the last couple of years [1-3]. However, thequestion if this modulation format is really a viable

    candidate for next generation fiber-optic transmission

    systems is up till now only partially answered.

    There exist several different definitions of OFDM in

    the fiber-optic community. In this paper, we refer to

    OFDM as a digital multicarrier technique. As the

    subcarriers are generated in the digital domain, these

    systems typically consist of many subcarriers

    (typically more than 50) where channel estimation is

    realized by periodically inserting training symbols [1-

    3]. We therefore exclude in the paper coherent WDM

    systems that sometimes are referred to as OFDM

    systems [4]. Coherent WDM systems typically havefew subcarriers that are generated in the optical

    domain. These systems typically do not use training

    symbols, but rely on blind channel estimation instead.

    Such systems have more in common with single-

    carrier coherent systems and its evaluation is out of

    scope of this manuscript.

    In this paper we assess how the performance of

    OFDM scales with coherently detected single-carrier

    QPSK [9, 12, 13], another promising modulation

    formats for long-haul transmission. Even though

    many different OFDM systems have been proposed,

    we restrict ourselves to coherent detected OFDM, as

    this modulation format is most suited for long-haul

    transmission [1-2].

    100GbE OFDM system design

    For the transport of 100GbE, overhead is required

    onto the payload data. Although 100GbE has not

    been standardized yet, it is foreseen that 7%

    overhead needs to be allocated for FEC and about

    4% for the Ethernet protocol (64B/66B coding). This

    results in a raw data rate Rraw of 111 Gb/s.

    Apart from the Ethernet and FEC related overhead,

    an OFDM system has additional overheads caused

    by cyclic prefix, training symbols and in some cases

    pilot subcarriers. Especially at high data rates it is

    essential to minimize these OFDM related overhead

    as the system overhead significantly increases the

    bandwidth requirements at the transmitter and

    receiver.

    Training symbols (TS)The overhead for training symbols is dependent on

    the channel dynamics. In a fiber-optic transmission

    system channel fluctuations are for instance caused

    by polarization changes. The more stable a channel is

    the less training symbols are required. In most

    coherent transmission systems reported to date, the

    training symbol overhead is about 2% to 4% [1-3].

    Pilot subcarriers (PS)

    Whether pilot subcarriers for phase noise (PN)

    compensation are required or not is dependent on the

    phase noise compensation technique. For fiber-optic

    transmission system two phase noise compensation

    schemes have been proposed, namely pilot

    subcarrier [2] and RF-pilot based PN compensation

    [5]. With pilot subcarrier PN compensation, typically

    10% or more of the subcarriers must be allocated for

    phase noise compensation [2]. In [5] we proposed

    RF-pilot based PN compensation, in which a low-

    power RF-pilot tone is used to revert the phase noise

    impairments at the receiver. A major advantage of

    this technology is that pilot subcarriers are not

    required, saving about 10% of overhead. Another

    advantage is that this compensation method is more

    robust towards phase noise and it has been shown

    that even PN compensation of conventional DFB

    lasers can be realized with only a minor penalty [6].

    Cyclic prefix (CP)

    The required cyclic prefix (CP) is dependent on the

    chromatic dispersion that is to be compensated for.

    The required cyclic prefix time g of an OFDM signal

    is dependent on the bandwidth of the OFDM band

    and can be defined as:2

    / fcDBdg = , (1)

    where D represents the chromatic dispersion of the

    desired transmission distance [s/m], c is the speed of

    light [m/s], f represents the center frequency of the

    OFDM band [Hz] and Bd [Hz] is the effective

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    bandwidth of the modulated OFDM signal:

    )(log

    )1)(1)(1(

    )(log 22

    min

    M

    R

    M

    RB PSCPTSrawalno

    d

    +++== , (2)

    where Rnominal and Rraw are the nominal and raw data

    rate per polarization [b/s], respectively, M is theconstellation size and CP, TS and PS are the cyclic

    prefix, training symbol and pilot subcarrier overheads,

    respectively. From (2) it can be concluded that the

    bandwidth Bd is dependent on the CP overhead,

    which is defined as [5]:

    gt

    g

    Cyclic

    = , (3)

    Where t is the total OFDM symbol time (including the

    cyclic prefix). Combining (1), (2) and (3), results in:

    t

    gtg

    PSTSrawR

    M

    c

    fD

    2

    2

    2

    )1)(1(

    )(log

    ++

    = . (4)

    From Eq. (4) it can be concluded that for a certain

    data rate and constellation size, the reach of an

    OFDM transmission system is dependent on the

    guard time (cyclic prefix), and the OFDM symbol size.

    For coherently detected OFDM systems the OFDM

    symbol size is typically limited by the effectiveness of

    the phase noise compensation scheme as well as the

    linewidth of the transmitter and local oscillator laser.

    For a conventional phase noise compensation

    scheme (using pilot subcarriers), this results in a

    maximum OFDM symbol length of about 10-15 ns [2]

    whereas with RF-aided phase noise compensation,

    an OFDM symbol length of longer than 100 ns can berealized [1]. The dispersion tolerance, expressed in

    km of SSMF, as a function of the guard time is shown

    in Fig. 1 for several OFDM symbol rates. This Figure

    clearly demonstrates the advantage of using long

    OFDM symbol lengths. For a system with a 10ns

    OFDM symbol length the reach is far below 1000-km

    SSMF whereas the OFDM system with 100ns symbol

    length reaches to more than 5000km.

    t

    = 10ns

    t = 50ns

    t

    = 100ns

    Fig. 1: Dispersion tolerance for 100GbE PDM-OFDM in onesingle band as a function of the guard time for severalOFDM symbol lengths.

    A method to further increase the dispersion tolerance

    is by using multi-band OFDM. Basically, the OFDM

    band is split up into several independently modulated

    OFDM bands. In [5] we showed that by using multi-

    band OFDM the CP overhead can be significantly

    reduced. Fig. 2 shows the CP overhead required for

    2,000-km SSMF as a function of the number of

    OFDM bands for a system with 10ns and 100ns

    symbol length. For a system with 100ns OFDM

    symbol length, the CP overhead is already reduced

    from 9.1% to 4.3% by using two OFDM bands. In [1],

    four OFDM bands were used, reducing the total

    OFDM related overheads for 100GbE OFDM to ~8%

    t

    = 100ns

    t

    = 10ns

    Fig. 2: Cyclic prefix overhead required for 2,000 km SSMFas a function of the number of bands for a system with 10nsand 100ns OFDM symbol length.

    Transmission performanceIn this section we will review the linear and nonlinear

    performance of coherently detected OFDM and

    compare this to the performance of coherently

    detected single carrier systems.

    OSNR sensitivity

    Both at 40-Gb/s [7, 8] and 100-Gb/s [1, 7] similar BER

    sensitivities have been reported for single carrier and

    OFDM transmission systems. The OSNR sensitivity

    for coherent detected systems is for a fixed nominal

    data rate independent of the number of subcarriers

    that is used. It is thus not surprising that the OSNR

    sensitivity of single carrier and multi-carrier (OFDM)systems are comparable at the same data rate.

    DAC/ADC sampling/bandwidth requirements

    In all systems that employ coherent detection with

    digital equalization ADCs are required at the receiver.

    The bandwidth requirements of these receivers are

    dependent only on the data rate and constellation

    size, not on the number of subcarriers. Therefore,

    single carrier and OFDM transmission systems have

    the same bandwidth requirements for the ADCs.

    In order to prevent high frequency distortion and

    noise components from being mirrored into the

    baseband signal oversampling is required [9]. A greatadvantage of OFDM with respect to a single carrier

    system is that it is straightforward to reduce the

    required oversampling to for instance a factor of 1.3.

    Oversampling in an OFDM system is typically realized

    by inserting unmodulated OFDM channels at high

    frequencies [5] and thus unlike single carrier systems

    no complex re-sampling is required at the receiver.

    However, the main disadvantage of digital OFDM is

    that DACs are required at the transmitter for the

    generation of the signal. The DACs increase the cost

    and complexity of the system, but at the same time

    make it also easier to adaptively scale to higher level

    modulation formats [1, 3].

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    The use of multi-band OFDM as discussed in the

    previous section does not only provide a reduction of

    the CP overhead, in [5, 8] we have shown that the

    required bandwidth for both DACs and ADCs can be

    relaxed as well. This comes at the cost however of a

    more complex transmitter and receiver layout.

    Chromatic dispersion and PMD tolerance

    From (4) it can be concluded that the CD tolerance of

    an OFDM transmission system is dependent on the

    bandwidth of the signal (which scales with the

    nominal data rate) and the allocated CP. In an OFDM

    transmission system practically arbitrary amounts of

    CD can be compensated for as long as the OFDM

    symbol length is not restricted and sufficient CP is

    allocated. Basically, the increase in CP causes a rise

    of the CP overhead, which can be mitigated by

    choosing a long enough OFDM symbol length. In

    single carrier systems, the amount of dispersion

    tolerance is dependent on the number of taps that is

    used in the frequency domain compensation [7]. This

    value scales with the dispersion that is to be

    compensated for. Thus the receiver complexity scales

    with dispersion for single carrier systems, whereas

    the overhead increases in an OFDM system. This

    holds for the PMD tolerance as well, although PMD

    compensation is less stringent for a coherent receiver

    as it generally has a much shorter impulse response.

    In coherent detected transmission systems, PMD and

    CD provide a combined penalty [7, 8]. PMD however,

    causes depolarization as well, thus in order to realize

    a large PMD tolerance a polarization diverse receiveris required. It has been shown for that both single

    carrier [7] and multi-carrier (OFDM) [8] systems can

    offer a practically unlimited tolerance towards PMD.

    Narrowband filtering tolerance

    OFDM is known to have a well defined optical

    spectrum. Because of this narrow optical spectrum, it

    is often stated that the obtainable spectral efficiency

    of an OFDM signal is higher than that of its single

    carrier counterpart [4]. But from information theory we

    know that this is not per definition true [10]. In [11] we

    have investigated the narrowband filtering tolerance

    of 120-Gb/s polarization division multiplexed (PDM)OFDM. The simulation results are shown in Fig. 3. In

    this simulation the optical signal-to-noise ratio

    (OSNR) is fixed to 10.6-dB, resulting in a BER of

    1x10-3

    . Because of the confined spectrum of the

    OFDM signal a negligible BER penalty is observed as

    long as the optical filter is broader than the OFDM

    band (30-GHz for 120-Gb/s PDM-OFDM). At

    narrower bandwidths the subcarriers located on the

    sides of the OFDM signal are attenuated and thereby

    the SNRs of the subcarriers located at these

    frequencies are severely degraded. As a result, a

    steep increase in BER is observed when the filter

    bandwidth is lower than 30 GHz. The 30 GHz filter

    tolerance is comparable to that observed for single

    carrier 100GbE [12]. It can thus be concluded that

    even though the unfiltered spectrum of PDM-OFDM is

    significantly smaller, it has a similar tolerance towards

    narrowband optical filtering compared to single carrier

    PDM-modulated signals with coherent detection (for

    the same constellation size M).

    Spectral width of 120Gb/s

    PDM-OFDM with QPSK

    Fig. 3: BER as a function of optical filtering bandwidth of120-Gb/s PDM-OFDM.

    Nonlinear tolerance

    Probably the main disadvantage of OFDM is that

    compared to single carrier systems the peak to

    average power ratio (PAPR) is significantly higher.

    One would therefore expect the nonlinear tolerance of

    OFDM to be lower resulting in a limited reach.

    However, when comparing the reach on a

    transmission link without DCF of 40 Gb/s PDM-OFDM

    [8] with that of single carrier 40-Gb/s QPSK [13], a

    similar reach is observed. The main reason for this is

    that although single carrier systems have lower PAPR

    in back-to-back configuration, the uncompensated

    chromatic dispersion along the transmission link

    causes the PAPR of single carrier systems to rise to

    similar values of OFDM systems, resulting in a similar

    nonlinear tolerance.

    Recently, we have investigated the impact of

    nonlinear impairments in a periodic compensated

    dispersion map [14]. These simulations showed that

    the nonlinear tolerance of OFDM is significantly

    reduced in periodically compensated dispersion

    maps. Fig. 4 shows the required OSNR after

    1,200-km transmission for a BER of 10-3

    as a function

    of the launch power. Simulated is one polarization of

    the 40-Gb/s PDM-OFDM experiment with the OFDM

    configuration as reported in [8]. In order to evaluate

    the influence of SPM and XPM both single channeland DWDM (50-GHz channel spacing) are simulated.

    Three dispersion maps are compared, namely without

    dispersion compensation, with fully periodic

    compensation and with a dispersion map that is

    optimal for 10-Gb/s OOK systems. The highest

    nonlinear tolerance is observed for the dispersion

    map without inline dispersion compensation. For the

    single channel simulations, the maximum tolerable

    launch power for a 1-dB OSNR penalty

    is -3.1 dBm, -5.7 dBm and -5.8 dBm for the dispersion

    map without DCF, the fully periodic and the 10G

    optimized dispersion map (10G OPT), respectively.

    Thus for both periodically compensated dispersion

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