The G-String has two circuits, each with an in and out. Hence the four cables.
The regular Decimator just has an IN and an OUT. These are equivalent to the DEC IN and DEC OUT on the G-String.
I think I've been over this ... it works differently from an NS-2.
The front end circuit is only to sense when a signal is coming from the guitar. The big problem with noise suppressors is them clamping down on sounds you actually want to hear, and the extra circuit in the G-String is a way to overcome that.
The main differences between the first generation and the 'II' models (of both types, Decimator and Decimator G-String) is a linking facility for joining more than one pedal together. I've not needed this. I find that the G-String set up properly is sufficient to kill most noise. I also don't have the threshold as high as the guy in that video. You put it just above where it cleans up the 'noise floor' - on this type of amp that's between 11 and 12 o'clock on the dial. You will hear it.
Why ISP called it a G-String I don't know ... I'm guessing it is because it senses the vibration of the guitar string ... I think they were trying to come up with something 'sexy' but maybe it just got up the designer's ass trying to figure it all out ;)
http://www.isptechnologies.com/portfolio/decimator-ii-g-string-pedal/The G String Pedal tracks the signal directly from the guitar, which allows you to switch from clean to high gain without ever changing the threshold setting.
People love it because it's a 'set-and-forget' unit
The Decimator™ II G String has 4 ¼ inch jacks. Connect the guitar directly to the Guitar IN. Connect the Guitar OUT to the input of the amplifier. Connect the DEC IN to the loop send and DEC OUT to the loop return. For best performance place all gain pedals in front of the amplifier and DEC IN. You can put Delay and Reverb effects pedals after the Decimator™ II G String and before the loop return to avoid cutting off reverb and delay tails.