The Company's intangible assets at June 30, 2018 include patents with estimated remaining economic useful lives ranging from 1.95 to 15.50 years.  For all periods presented, all of the Company's patents were subject to amortization.  The gross carrying amounts and accumulated amortization related to acquired intangible assets as of June 30, 2018 and December 31, 2017 were as follows:

Amortization expense for the three months ended June 30, 2018 and June 30, 2017 was $69,000 and $50,000, respectively.  Amortization expense for the six months ended June 30, 2018 and June 30 2017 was $139,000 and $100,000, respectively.  Future amortization of intangible assets, net is as follows:

The Company's Remote Power Patent expires in March 2020. The expiration date of the patent within the Company's Mirror Worlds Patent Portfolio is February 2020 (eight of the nine patents in the Mirror Worlds Patent Portfolio have expired).  The expiration dates of the patents within the Cox Patent Portfolio range from September 2021 to November 2023.  The expiration dates of patents within the Company's M2M/IoT Patent Portfolio range from January 2034 to June 2034 and the expiration date of the QoS Patents is June 2019.