maybe this is the reason for the constantly intermittents?
how do I find where the issue is?
To be honest, troubleshooting wireless reliability and intermittent connectivity issues is quite a bitch. Usually the first thing you'd want to look at is the quality of your router. Cheap routers usually have weak radios and poor performing antennas. The other culprit is of course physical obstacles. Does your house have plaster walls? If so this will affect the strength of the wireless signal. Where you place your router and also where you locate the wireless clients (wireless devices) also matters.
If you absolutely must have it connected wirelessly then there are several things you can do:
1) Get a better router. A router that supports the 802.11n wireless standard is the idea. Also if the router has multiple antennas as is typical with the MIMO capable routers then that's even better.
2) If your router supports it remove it's antenna and swap it with a more sensitive one, but typically this has limited effectiveness as often it's not the router's receive sensitivity that is the issue. In some custom router firmwares you can modify the power at which the router's radios transmit at. Most likely if you're using a off-the-shelf router then this is not possible unless you want to mess around with flashing it with a custom firmware like dd-wrt, openwrt, tomato, etc.
3) Install a bigger and more sensitive antenna on your avalon miner. I'm not sure what the dBi rating is for the one it comes with but if you wanted to go all crazy on the wireless setup you can get one of those super sensitive 20 dBi parabolic dish antennas. Kind of extreme though.
4) Another option is to install a wireless repeater half way in between the avalon unit and your router. A wireless repeater will receive your router's wi-fi signal and then amplify it and rebroadcast it. A wireless repeater is akin to a bridge as it bridges the signal distance gap.
5) Also check your router to see what channel it is trasmitting on. Often if you have a lot of other wireless routers in your area and if some or a number of them happen to be using the same wireless channel as your router then they'll sort of step on each other's toes. So what you can do is change the wireless transmit channel. One neat utility that I like to use for this purpose is called "inSSIDer"
Hopefully some of these tips help, but once again it is my opinion that if you can find a means to run a cable, do it. You'll have less to worry about.