Can you describe in a little more detail exactly how you're planning to implement this? Do you plan on using the Pi as simply a recording device to record your voice and then transmit that voice to the PC running voice recognition software, or are you wanting to run the voice recognition on the Pi itself and then transmitting ASCII commands to the PC?
If you are running a Windows PC, Windows already has voice recognition capability though it is rather limited in its native form. Off the top of my head, the quickest and easiest way to control a PC remotely with voice commands via a Pi would be to first set the Pi up to work as a recording device then transmit the recorded voice to the PC via whatever means you want, wifi, ethernet, Bluetooth whatever. Run Windows 7 on the PC and install a voice recognition software like 'My Voice Controller' which is a free one I use to automate my flight simulators. There are other software packages out there like Dragon Naturally speaking and the like but I'm not familiar enough with any of them to recommend the right one for your needs. I am however fairly familiar with 'My Voice Controller'. MVC can be scripted to do whatever you choose with it and can be used in conjunction with other scripted macro programs like AutoIt so give even further capability. Last time I checked the latest version of MVC was no longer online for download but I have the files if you can't find them on your own. I even wrote a tutorial about getting it all set up for flight simming, a quick read of which will give you an idea of the programs capabilities and usage.
Once again, probably the simplest solution would be to set up your Pi as a remove microphone, wireless or otherwise and simply transmit the recorded voice to the PC running the right software to handle the voice recognition the way you want.
Here is the link to the latest version of MVC: https://mods.curse.com/addons/wow/project-6799
Here is a link to the thread where I posted a tutorial, it's about halfway down the page. http://dangerdogz.com/forums/topic/8293 ... n-utility/