Jaksta Media Recorder is well known as an all in one k-statehd.tv Downloader, k-statehd.tv Recorder and k-statehd.tv Capture Tool and allows the downloading, recording and capturing of Video, Music and Radio.
Its easy to use Jaksta Media Recorder's Digital Video Recorder Capture Method to record from k-statehd.tv.
More detailed steps are available in the How to Download from k-statehd.tv Guide