The following article shows the LVDT Signal Conditioner Design Procedure for AD-589 single supply. To work properly, LVDT needsa complex excitation circuit and signal conditioning. Analog Devices provide AD598 for complete solution of LVDT signal excitation and conditioner. This IC can be operated in single supply mode, which is great for battery-powered LVDT application. Here is the schematic :
To determine the component values design procedure, here is the datasheet of the Integrated Circuit from Analog Devices.