Latest Intel® WiDi version for Windows* 7 is 4.2.24. It should work at this point, unless… the TV adapter is not working properly? How is the computer connecting to your AP, is it 2.4 or 5 GHz?
Windows* 7, 8 and 8.1 are the operating systems supported by Intel; however, I found this article after searching for Miracast* and Linux* online: http://www.freedesktop.org/wiki/Software/openwfd/