EMC test is required to determine that your device should have no effect on the other equipment around. Like placing a Transciever in a plane, where there are tens of other equipment around. You need to be sure that your equipment would not disrupt something else.
Peak-to-Average ratio is a thing with your waveform, consider your duty cycle is sth like %10; however your peak's are really big. That would mean at your peaks, probability of effecting other equipment will increase. Basic methods are EMC filters, which can vary from simple coils to metal enclosures depending on your application(Frequency of operation)