Quality Metrics in optical modulation analysis: EVM and its relation to Q-factor, OSNR, and BER

The quality of optical signals is a very important parameter in optical communications. Several metrics are in common use, like optical signal-to-noise power ratio (OSNR), Q-factor, error vector magnitude (EVM) and bit error ratio (BER). A measured raw BER is not necessarily useful to predict the final BER after soft-decision forward error correction (FEC), if the statistics of the noise leading to errors is unknown. In this respect the EVM is superior, as it allows an estimation of the error statistics. We compare various metrics analytically, by simulation, and through experiments. We employ six quadrature amplitude modulation (QAM) formats at symbol rates of 20 GBd and 25 GBd. The signals were generated by a software-defined transmitter. We conclude that for optical channels with additive Gaussian noise the EVM metric is a reliable quality measure. For nondata-aided QAM reception, BER in the range 10-6...10-2 can be reliably estimated from measured EVM.

[1]  S. Personick Receiver design for digital fiber optic communication systems, II , 1973 .

[2]  Wolfg.ng Freude Positive definite and unimodal Gauss-Hermite expansion of probability density functions , 1991 .

[3]  Tasshi Dennis,et al.  High-accuracy photoreceiver frequency response measurements at 1.55 µm by use of a heterodyne phase-locked loop. , 2011, Optics express.

[4]  Michel C. Jeruchim,et al.  Techniques for Estimating the Bit Error Rate in the Simulation of Digital Communication Systems , 1984, IEEE J. Sel. Areas Commun..

[5]  P. Humblet,et al.  On the bit error rate of lightwave systems with optical amplifiers , 1991 .

[6]  D. Marcuse Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers , 1990 .

[7]  R.A. Shafik,et al.  On the Extended Relationships Among EVM, BER and SNR as Performance Metrics , 2006, 2006 International Conference on Electrical and Computer Engineering.

[8]  R Schmogrow,et al.  Real-Time Software-Defined Multiformat Transmitter Generating 64QAM at 28 GBd , 2010, IEEE Photonics Technology Letters.

[9]  W. Freude,et al.  Fast split-step wavelet collocation method for WDM system parameter optimization , 2005, Journal of Lightwave Technology.

[10]  M. Winter,et al.  Error Vector Magnitude as a Performance Measure for Advanced Modulation Formats , 2012, IEEE Photonics Technology Letters.

[11]  Hüseyin Arslan,et al.  Error vector magnitude to SNR conversion for nondata-aided receivers , 2009, IEEE Transactions on Wireless Communications.

[12]  P. Winzer,et al.  Capacity Limits of Optical Fiber Networks , 2010, Journal of Lightwave Technology.

[13]  Stephan ten Brink,et al.  FEC and soft decision: Concept and directions , 2012, OFC/NFOEC.