Carpet or wood floor? room with big windows

Hi I'm looking at setting up a home studio with a "control room" and vocal booth in a split level flat that I'm renting... I'm new to this so at the moment, so I'm doing a lot of research to find out what would be the best for me to do. I'm currently working on sketch up to do a decent model and will upload it when it's finished along with a lot of questions.... I would really appreciate some advice for now please: Please have a look at the attached sketch. The control room is about 3.49m x3.57m x2.45m. There's unfortunately a big single glazed window that takes a good part of the left side wall (the wall underneath the window is made of a layer of plasterboard, some more glass - I suppose that before the window covered the all height of the room- and some sort of insulation on the outside, it seems to me) . There's a radiator on the "front" wall in the sketch, and a little built in cupboard in a corner (with a door) The vocal booth is next to the control room (on the right and separated by a platerboard wall). I'm planning to build a room within a room for the vocal booth but I'll come back to this in another post... There's wood floor throughout. My flatmate's bedroom is below the "control room" and I've got neighbours on 2 sides (brickwall separation). My plan is to have the desk on the back wall on the sketch (with the window on the left), add 2 bass traps from floor to ceiling on the corners of the same wall, filled with rockwool cut in triangles and covered with a veneered plywood panel. Also, add a 1.20m x 1.20m broadband absorber on this same wall behind the speakers, then add one 60cmx1.20m broadband absorber on the wall opposite the window, and another 60cmx1.20m broadband absorber on the wall opposite the speakers, along with some book shelves, and possibily a diffuser. Obviously I wouldn't want to piss my flatmates off, although I won't be playing music extra loud, since I can't fully soundproof the room (rented flat), so I first thought of putting a felt underlay and carpet the room. However I've been reading that carpet is a killer for high frequencies so I don't really know what to do. As there is this big window and I suppose that there's nothing I can do about it, if I was to put a carpet, would some high freqencies be reflected by the window still? Or is carpet really not good compared to wood floor. Would it make a big difference anyway in terms of sound transmission, if there was a carpet? Thanks a lot in advance for any help!