I had a software rep demonstrate this ability to me with Dragon Naturally Speaking a couple of years ago.  Worked really well.  I don't remember what the voice recorder was, except that it was Sony.  Recorded onto memorystick, and then she had a memorystick drive on her laptop that Dragon Naturally Speaking transcribed off of.  I could probably find this gal's contact information if you wanted to talk to someone directly.
For the record, I trained Dragon Naturally Speaking for about three minutes, and then did a test run at transcribing and got 100% accuracy.  It is key to have a good mike and sound card.
Pam