This article is a starting point, but of particular interest are the links to to suggestions about how to optimize your router settings for iOS devices and the tech specs.
Does wi-fi work OK away from your home?
I've not tried the my ipad away from home as i wasn't really aware of the problem until my brother brought his to mine. I can't understand why my newer ipad is so inferior to a previous model? Should I as a user have to alter and change to boost my wifi signal when my brother brought his into mine for the first time and had full strength signal in all rooms and I have to stay in the same room for it to stay connected and place it directly next to it for it to find it and connect
Changing your router settings is not going to help. You must try the iPad on a public wifi network to verify the problem. After that (it should work on public wifi) try resetting Network Settings. Then go on to Reset All Settings. Finally, you could try restoring the iPad as new and doing a sync to recover your data. Be sure to copy all pix off first. If that doesn't work, make an appointment at the Genius Bar. It should still be under warranty. Document the problem and the steps you have taken (they will want you to do the restore as new) and take it to an Apple store. It will almost certainly connect to their wifi. Don't be put off. Ask for a new iPad.
Like I said, the article is a starting point. If I were you, I'd work through it completely, (and also see if performance differs on other wi-fi networks like say, hot spots) and if it doesn't get better, after the troubleshooting, and it doesn't work better on other wi-fi networks, you'd have a really good case for a warranty replacement.
Some things to try first:
1. Turn Off your iPad. Then turn Off (disconnect power cord for 30 seconds or longer) the wireless router & then back On. Now boot your iPad. Hopefully it will see the WiFi.
2. Go to Settings>Wi-Fi and turn Off. Then while at Settings>Wi-Fi, turn back On and chose a Network.
3. Change the channel on your wireless router (Auto or Channel 6 is best). Instructions at http://macintoshhowto.com/advanced/how-to-get-a-good-range-on-your-wireless-netw ork.html
4. Go into your router security settings and change from WEP to WPA with AES.
5. Renew IP Address: (especially if you are droping internet connection)
• Launch Settings app
• Tap on Wi-Fi
• Tap on the blue arrow of the Wi-Fi network that you connect to from the list
• In the window that opens, tap on the Renew Lease button
6. Potential Quick Fixes When Your iPad Won’t Connect to Your Wifi Network
Wi-Fi Fix for iOS 6
iOS 6 Wifi Problems/Fixes
How To: Workaround iPad Wi-Fi Issues
Another Fix For iOS 6 WiFi Problems
Wifi Doesn't Connect After Waking From Sleep - Sometimes increasing screen brightness prevents the failure to reconnect after waking from sleep. According to Apple, “If brightness is at lowest level, increase it by moving the slider to the right and set auto brightness to off.”
Fix For iOS 6 WiFi Problems?
Did iOS 6 Screw Your Wi-Fi? Here’s How to Fix It
How To Fix Wi-Fi Connectivity Issue After Upgrading To iOS 6
iOS 6 iPad 3 wi-fi "connection fix" for netgear router
Apple's iOS 6 Wi-Fi problems
How to Boost Your Wi-Fi Signal
Troubleshooting a Weak Wi-Fi Signal
How to Fix a Poor Wi-Fi Signal on Your iPad
iOS Troubleshooting Wi-Fi networks and connections http://support.apple.com/kb/TS1398
iPad: Issues connecting to Wi-Fi networks http://support.apple.com/kb/ts3304
WiFi Connecting/Troubleshooting http://www.apple.com/support/ipad/wifi/
How to Fix: My iPad Won't Connect to WiFi
iOS: Connecting to the Internet http://support.apple.com/kb/HT1695
iOS: Recommended settings for Wi-Fi routers and access points http://support.apple.com/kb/HT4199
How to Quickly Fix iPad 3 Wi-Fi Reception Problems
iPad Wi-Fi Problems: Comprehensive List of Fixes
Connect iPad to Wi-Fi (with troubleshooting info)
Fix iPad Wifi Connection and Signal Issues http://www.youtube.com/watch?v=uwWtIG5jUxE
Fix Slow WiFi Issue https://discussions.apple.com/thread/2398063?start=60&tstart=0
How To Fix iPhone, iPad, iPod Touch Wi-Fi Connectivity Issue http://tinyurl.com/7nvxbmz
Unable to Connect After iOS Update - saw this solution on another post.
Note - When troubleshooting wifi connection problems, don't hold your iPad by hand. There have been a few reports that holding the iPad by hand, seems to attenuate the wifi signal.
If any of the above solutions work, please post back what solved your problem. It will help others with the same problem.