Hey roderickfromgilbert,
I understand that you are having an issue with your home Wi-Fi from your AirPort base station. If you are continuing to experience this issue even after a power cycle, you may want to reset your AirPort. There are three types of reset, which are explained in depth in the following article:
Resetting an AirPort base station FAQ - Apple Support
http://support.apple.com/en-us/HT3728
Depending on the situation, you will need to choose one of the following reset types:
- Soft reset: Resets the device password and disables security for five minutes so that you can join the network to make changes.
- Hard reset: Resets the base station back to an unconfigured state, but retains the last saved configuration and any profiles so you can restore your base station from previous settings.
- Factory default reset: The same as a hard reset but also removes any saved configurations or profiles.
You may also want to use a tool on your computer called Wireless Diagnostics to help you determine the root cause of the issue you are seeing:
About Wireless Diagnostics - Apple Support
http://support.apple.com/en-us/HT202663
Thanks for coming to the Apple Support Communities!
Regards,
Braden