You can find the list of supported compilers in the link below. Which one to use depends partly on whether you are using 64 or 32 bit, and also depends which operating system you use.
If you are using Windows 10 then even though sdk 7.1 should work in theory, in practice it can be difficult to install in W 10.
The supported Visual Studio version are unfortunately all Professional, with no Community or Express versions supported in your release. Sdk 7.1 is free but a bit tough to install after Windows 7. lcc-32 is free but only works for 32 bit.
Note that if you install Visual Studio you might need to specifically ask it to install C as it defaults to C++
Once you have installed a supported compiler, go into matlab and command
mex -setup
and follow the prompts.
