Can I extend a WiFi network using Airport Extreme or Time Capsule?

[kenkamm]

I live in an area where there is no DSL, Comcast Cable, or Fios service. Oddly enough, however, there is 4G service. So, I connect using a Mifi 4510L Verizon 4G WiFi hotspot device. It provides connectivity for up to 5 WiFi devices. It doesn't provide any kind of wired connection to the internet.

I own a Macbook Pro, iPhone, Apple TV. I also have an Airport Extreme and a Time Capsule.

When the Verizon Mifi device is on, I can use its Wifi signal to connect all my devices, so I can stream to my Apple TV, time machine can run backups, etc. But when the MiFi device is off (I don't leave it on constantly because I need to control data usage), no WiFi network exists, so I don't have connectivity between devices.

But is there a way to use the AE or TC to create a WiFi network that always exists, whether or not the Verizon MiFi device is on, so I can always stream to Apple TV, etc., regardless of whether I'm connected to the internet?

Thanks...

 

[NogbadTheBad]

I'm not sure if you can bridge between them, have you thought maybe of using a USB 4G dongle with something like a Draytek 2830 :-

http://draytek.com/user/PdInfoDetail.php?Id=132

You'd need to check up if it will work with 4G, I know there are people using them with 3G.

 

[kenkamm]

Maybe "bridge" is the way to describe what I need to do, but I'm not sure.

Can the airport extreme connect to a wifi source while simultaneously providing another wifi source for other devices? I want to be able to connect the airport extreme to the 4g Mifi hotspot device, then connect all my peripherals to the airport extreme - not directly to the Mifi device.

That way, my peripherals all remain connected to a valid wifi network, regardless of whether that network has access to the Internet.

Thanks again.