Maxime,We'd like to recommend that you use LTC6406 instead. It has a VOCM range of 0.5V to 2V for VS of 3V to 0V so you need not find an additional negative supply for your circuit.
The LTC6406 would work well for translating a single ended signal into a differential signal. Especially when driving a 1.8V part.
A circuit like the example in the datasheet would work, except with a Vcm of 0.9V:
You need a PLL which drives a frequency doubler which drives an amplifier. Possible choices might be ADF4371 (PLL), HMC1105 (frequency doubler) and HMC7229 (amplifier). These are not the only choices.
This part is EAR99. The attached RFIC selection guide lists the ECCN codes for all of ADI's RF products.