Real-time 10,000 km transmission over a straight-line link is achieved using software-defined multi-modulation format receiver implemented on commercial off-the-shelf general-purpose graphics processing unit (GPU). Minimum phase 1 GBaud (QAM) signals are transmitted and successfully received after detection with Kramers-Kronig (KK) coherent receiver. 8-, 16-, 32-, 64-QAM 7600, 5600, 3600, 1600 ...