Do you mean input signal: high = 3.6V, low = 1.8V?
==> don't know any Cmos family with low = 1.8 V.
If this really is your signal, then a high speed comparator with logic level output may help.
For 3.3V LVCmos to 1.8V LVCmos there are buffers with 1.8V Vcc and 3.3V input tolerance.
1st one converts the signal to a 3.6 - 0 V logic signal. You can use cross-coupled NMOS level shifter.
2nd would be the same but PMOS version to bring the 3.6 V high level back to 1.8 V.
I should advice you that the 1st level shifter's transistor should have a breakdown voltage of 3.6 V, or you have to be creative using 1.8 V transistors by stacking them so each one see a maximum of 1.8 V.