I've always known this, and I'm sure most of you do too, but we never really talk about it. Every smartphone or other device with mobile communications capability (e.g. 3G or LTE) actually runs not one, but two operating systems. Aside from the operating system that we as end-users see (Android, iOS, PalmOS), it also runs a small operating system that manages everything related to radio. Since this functionality is highly timing-dependent, a real-time operating system is required.
This operating system is stored in firmware, and runs on the baseband processor. As far as I know, this baseband RTOS is always entirely proprietary.
The problem here is clear: these baseband processors and the proprietary, closed software they run are poorly understood, as there's no proper peer review. This is actually kind of weird, considering just how important these little bits of software are to the functioning of a modern communication device. You may think these baseband RTOS' are safe and secure, but that's not exactly the case. You may have the most secure mobile operating system in the world, but you're still running a second operating system that is poorly understood, poorly documented, proprietary, and all you have to go on are Qualcomm's Infineon's, and others' blue eyes.