Does the iPod connect to other networks?
Try the following to rule out a software problem:
- Reset the iOS device. Nothing will be lost
Reset iOS device: Hold down the On/Off button and the Home button at the same time for at
least ten seconds, until the Apple logo appears.
- Power off and then back on the router
- Reset network settings: Settings>General>Reset>Reset Network Settings
- iOS: Troubleshooting Wi-Fi networks and connections
- Restore from backup. See:
iOS: How to back up
- Restore to factory settings/new iOS device.
If still problem make an appointment at the Genius Bar of an Apple store since it appears you have a hardware problem.
Apple Retail Store - Genius Bar