On the effect of Wiener phase noise in OFDM systems

Tomba, L.

doi:10.1109/26.668721

Cited by 318 publications

(196 citation statements)

References 7 publications

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“…Possible countermeasures to mitigate PN effects and the relative robustness of SC and OFDM systems have been deeply investigated in the wireless and optical literature of the last decades (see [16]- [18], [22] and references therein). We will consider here the following PN compensation techniques which are relevant in high-speed optical links.…”

Section: Pn Estimation and Compensationmentioning

confidence: 99%

“…After equalization, assuming that the equalizer is ideal in the absence of PN-i.e., that , where are the samples (at sampling frequency ) of the received (noiseless) signal affected by GVD, the equalizer coefficients, and the independent transmitted symbols-the received sample can be expressed as (22) where is the (residual, if DCE is present) receive PN, are the normalized independent Gaussian noise samples due to ASE with variance , and (23) is the additive noise due to interaction between receive PN and equalization. It is easy to demonstrate that, despite the presence of ISI induced by GVD, , where is the Kronecker delta, such that is the sum of uncorrelated random variables, each with a random phase.…”

Section: Appendixmentioning

confidence: 99%

See 1 more Smart Citation

Impact of Phase Noise and Compensation Techniques in Coherent Optical Systems

Colavolpe

Foggi²,

Forestieri

et al. 2011

J. Lightwave Technol.

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Abstract-One of the most severe impairments that affect coherent optical systems employing high-order modulation formats is phase noise due to transmit and receive lasers. This is especially detrimental in uncompensated links, where an ideal compensator for channel distortions and laser phase noise should first eliminate receive phase noise, then equalize channel distortions, and only later compensate for transmit phase noise. Unfortunately, the simultaneous presence of transmit and receive phase noise makes very difficult to discriminate between them, even in the presence of a pilot tone. Moreover, the picture is different for optical systems using single-carrier or orthogonal frequency division multiplexing, where transmit and receive phase noise components may have a different impact. All these aspects are analyzed and discussed in this paper. A novel digital coherence enhancement (DCE) technique, able to significantly reduce the phase noise of transmit or receive lasers by using an interferometric device plus a very simple electronic processing, is also described. The performance of this technique and the statistical properties of the residual phase noise are analytically derived and verified by simulations, showing a high increase of the maximum bit-rate-distance product. The practical implementation of DCE is finally discussed and some alternative implementation schemes are presented.Index Terms-Coherent detection, group velocity dispersion (GVD), optical communication, orthogonal frequency division multiplexing (OFDM), phase noise.

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Section: Pn Estimation and Compensationmentioning

confidence: 99%

Section: Appendixmentioning

confidence: 99%

Impact of Phase Noise and Compensation Techniques in Coherent Optical Systems

Colavolpe

Foggi²,

Forestieri

et al. 2011

J. Lightwave Technol.

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show abstract

“…Although some authors faced this problem (see, e.g., [13], [58], [59]), numerical simulations are usually unavoidable in this case. From (10) and (11) it turns out that, in the presence of a time-varying phase, the magnitude of the signal coefficient decreases, while the magnitude of the interference coefficients , grows.…”

Section: B Ofdmmentioning

confidence: 99%

“…For instance, in the presence of phase noise and residual uncompensated carrier frequency offset, which are always present in high-speed optical communication systems [12], intercarrier interference (ICI) arises among the OFDM subcarriers to such an extent that, if not compensated, might lead to a remarkable performance degradation [13]. On the other hand, ICI compensation algorithms are computationally quite demanding, and their implementation is not feasible in such high-speed optical communication systems.…”

mentioning

confidence: 99%

OFDM versus Single-Carrier Transmission for 100 Gbps Optical Communication

Barbieri

Colavolpe

Foggi

et al. 2010

J. Lightwave Technol.

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Abstract-We analyze the orthogonal frequency division multiplexing (OFDM) technique in long-haul next generation optical communication links and compare it with the well-established single-carrier (SC) data transmission using high-level modulation formats and coherent detection. The analysis of the two alternative solutions is carried out in the 100 Gbps scenario, which is commonly considered to be the next upgrade of existing optical links, with special emphasis on quaternary phase-shift keying (QPSK) modulations. The comparison between OFDM and SC takes into account the main linear and nonlinear impairments of the optical channel, e.g., group velocity dispersion (GVD), polarization mode dispersion (PMD), self-phase modulation (SPM), cross-phase modulation (XPM), and four-wave mixing (FWM), as well as the phase noise due to transmit and receive lasers, their relative frequency offset, other synchronization aspects, the overall complexity, the power and spectral efficiency, and the technological constraints.Index Terms-Cross-phase modulation (XPM), four-wave mixing (FWM), group velocity dispersion (GVD), optical coherent transmission systems, orthogonal frequency division multiplexing (OFDM), phase-shift keying (PSK), polarization mode dispersion (PMD), self-phase modulation (SPM), single-carrier transmissions.

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“…Previous studies of phase noise in OFDM analyze the system performance dependence with some phase noise parameters, such as the 3-dB linewidth of Lorentzian power density [8] or the correlation time [9]. However, these are not easily related to the oscillator specifications needed by the system designers.…”

Section: Introductionmentioning

confidence: 99%

Understanding the effects of phase noise in orthogonal frequency division multiplexing (OFDM)

Armada

2001

IEEE Trans. on Broadcast.

305

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Abstract-Phase noise must be carefully considered when designing an OFDM-based communication system since an accurate prediction of the tolerable phase noise can allow the system and RF engineers to relax specifications. This paper analyzes the performance of OFDM systems under phase noise and its dependence on the number of sub-carriers both in the presence and absence of a phase correction mechanism. Besides some practical results are provided so as to give some insight into the phase noise spectral specifications that should be required to the local oscillator.

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On the effect of Wiener phase noise in OFDM systems

Cited by 318 publications

References 7 publications

Impact of Phase Noise and Compensation Techniques in Coherent Optical Systems

Impact of Phase Noise and Compensation Techniques in Coherent Optical Systems

OFDM versus Single-Carrier Transmission for 100 Gbps Optical Communication

Understanding the effects of phase noise in orthogonal frequency division multiplexing (OFDM)

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