I. Introduction
In Recent years, as the progress of digital transformation and upgrade in various internet industries has accelerated, data centers (DCs) have become a core infrastructure to support the explosive demand for large-capacity data storage, computation, transmission, and applications [1]. To meet the fast-growing traffic, low-latency and low-cost requirements, optical transmission technologies have been extensively applied in point-to-point inter-data center interconnections (DCIs) [2], [3]. The coherent detection transceiver enables better performance at the cost of complex hardware components. In contrast, intensity modulation and direct detection (IMDD) based optical link has been a more attractive solution for short-reach DCIs due to various benefits, such as lower implementation cost and power consumption [4]. Moreover, to increase the data rate of a single wavelength channel while relaxing the bandwidth limitation for optical devices with the next generation standardization of 800 GbE or even 1.6 TbE [5], the high-order quadrature amplitude modulation (QAM) format has been widely studied and demonstrated to realize over 100Gb/s per dimension in optical transmission [6], [7], [8]. Direct detection optical orthogonal frequency division multiplexing (OFDM) technology is also used to improve the spectrum efficiency and withstand the inter-symbol interference (ISI) caused by chromatic dispersion and nonlinearities [9], [10].