you can have a hydraulic LSD clutch setup. Hydraulic clutch setup consist of basically pushing hydraulic fluid though a pipe from the master cylinder to the slave cylinder. cable trannys work by pulling a cable instead of pushing a rod like u would with a hydro setup. the cable slides inside whats called a sheath so it works real smooth around corners. Limited Slip Differentials has a spring pack and a set of clutches. the only time the clutches work is when something happens that makes one wheel spin faster than the other, for example when u turn, it makes both wheels wanna go at the same speed. Its pretty simple. Its not called a hydraulic transmission or cable tranmission, that doesnt make sense. its the clutch setup.