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Spatial division multiplexing (SDM) is crucial for ultra-high capacity optical fiber transmission. In addition to SDM using multi-core fiber, multi-modal multiplexing using multi-mode fiber is another option. MDM and OAM are intensively investigated. For any SDM transmission, typical ways are based on optical fan-in and -out devices for multiplexing and demultiplexing tributaries. In this paper, spatial coherent matched detection is investigated for showing the capability of multi-modal coherent detection, where such SDM signals are received without using optical fan-out devices. Numerical proof focusing on reception of high-speed SDM coherent multilevel signals is provided.
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