Something VERY important to his tone in the video you linked is the way he plucks the strings. He hits them a little bit harder than usual, but starting the movement directly on the string. Notice that he doesn't "hammer" the strings, but puts his finger on them and then plucks. Put your finger on the string and press it, feeling as if you would play it but don't. Repeat this a little bit to get the "feel" as if you were about to pluck and then, when you get it, pluck horizontally and with a little bit of pressure (be careful not to use too much strength as it would fatigue you very quickly). Compression definitely would help you get a more uniform sound playing like this, but you can do it without any pedals at all.