I. Introduction
The rapid increase in IP data traffic has accelerated the research and development of optical transmission technologies to further increase capacities in wavelength-division-multiplexed (WDM) networks [1]–[7]. Polarization-division multiplexing (PDM), in which two orthogonal polarization are used as two independent optical carriers, is one of the essential technologies for achieving such large-capacity transmissions because PDM can double the spectral efficiency (SE) compared to the conventional single-polarization modulations. Another key technology for achieving large SE and large capacity is multilevel modulation with advanced formats, such as N-level phase-shift keying (N-PSK), N-level quadrature amplitude modulation (N-QAM), and orthogonal frequency-division multiplexing (OFDM). DP-16 QAM was used to achieve the record capacity of 69.1 Tb/s with a SE of 6.4 b/s/Hz [6]. On the other hand, PDM-quadrature-PSK (PDM-QPSK) is the leading candidate for the upcoming commercial deployment of 100-Gb/s/ WDM systems [1], [7].