You will need to use multi-channel techiques for increasing brand awareness across the digital marketing mix. This will include the selection of channels, plus the planning, implementing and measuring of the campaigns you undertake.
This is likely to include social media and activities, as well as paid channels like paid display and paid social. In addition to using channels and techniques to increase awareness.
You will need to find merchanisms to measure the level of brand awareness, including the amount of searches, mentions in social media and the press. Effective awareness campaigns should help increase in the size of your social communities, increase the amount of organic traffic to your site and increase the amount of direct traffic to your site.
You may also need to use specialist tools or services to carryout surveys to determine on the level of brand awareness.