I've had my Note 10.1 a week and am getting frustrated with the same problem. I'm using a Billion 770, 'N' enabled, with a second AP also in the house. I've checked signal strength, available bandwidth, also moved channels. Still does it sometimes, but not always. Can't beleive a static IP will make any difference.
I have an iphone, BB and two laptops in the house, they don't do it.