DOCUMENTATION AND OTHER VENDOR REQUIREMENTS FOR WIFI WI-FI EQUIPPED DEVICE

RADIOCOMMUNICATIONS REPORT COVERING:

AS/NZS 4268:2017+A1
Radio equipment and systems - Short range devices - Limits and methods of measurement .
(Basically, this is required by anything that uses a radio transmitter).

Note: If a product can also be used without the transmitter, it will need also need an EMC report to cover non-remote operation.
Understand the difference:
 EMC (ElectroMagnetic Compatibility)  reports are for devices that are NOT INTENDED to emit any electromagnetic radiation at all.
 Radiocommunications reports are for devices that are SPECIFICALLY INTENDED to produce electromagnetic radiation, (eg radio transmitters) but it must be strictly restricted to the licenced frequency.

EMR REPORT COVERING:

ARPANSA
The product must be shown to be compliant  with EMR requirements  of  the Australian Radiation Protection and Nuclear Safety Agency. ( ARPANSA)
If the device only uses 2.4GHz and the power to the antenna is less than 25mW, then no special report is needed. 
But, you  need some evidence that  the power is less than 25mW. That can come from the Radcomms report, or from the manufacturer's data sheet for the WiFi chipset , or by measuring the DC power the transmitter chip draws. If the power increase on transmit is under 25mW, then the output can be safely assumed to be under 25mW.
If the WiFi transmitter puts out more than 25mW, or it can also work on 5.8GHz, then an EME survey to the Australian ARPANSA standard is mandatory.

IEC  62479:2010
Assessment of the compliance of low-power electronic and electrical equipment.
Basic restrictions related to human exposure to electromagnetic fields (10 MHz to 300 GHz).
This is the same as an EME survey.

