There really is no way that Suicide's music can be described to someone who hasn't heard it, but I'm going to try... Alan Vega's vocals are always compared to Elvis, but it's almost like an Elvis whose sneers are for real with a dark, brooding delivery. In contrast, Martin Rev produces a droning electronic backing that is sometimes distorted guitar-like and sometimes something like a wind-up nursery toy. The drums are very primitive and verging on the cheesy, and there is rarely a snare sound.
Does this sound like something that you could listen to? Probably not, but when you hear it, you can see how hard it is to put your finger on what it is that makes this band great. The comparisons to other bands just aren't relevant. They are far more minimalist than Kraftwerk, and if they influenced synthesizer duos in the 80's, then there is little evidence of it in 80's music. What they are is an absolutely unique act.
Their first outing is a very primitive affair, but with an approach that says "we don't give a shit about conventions - this is the way we want to do it!". The first thing I wanted to do after I heard it for the first time was play it again, first to see if I really heard what I heard, and because you just need to keep listening to it to take it all in.
The second CD is a worthwhile bonus, giving you some idea of why they were both loved and hated live. The CBGB's set shows why they were loved by their audience, and the '23 Minutes Over Brussels' shows you why they were hated by people whose heads were too filled with the conventions set by the music industry.
Just don't play this before you go to sleep!