
If you are reading this, I assume you already know what the
Linux kernel is and why you may want to update it. However, if you are accidentally reading this walkthrough, just happen to be running Linux, and have no idea what the kernel is or why you would want to update it, the next two paragraphs are for you (if you are looking instead into a less verbose and more generic way of updating your kernel on any Linux distro,
read here). In a neophyte nutshell, the Linux kernel is the brain of the Linux system. It tells your system which file systems, hardware, protocols, etc. are supported. There is a lot more to it than that, of course, but I think that diminutive description will suffice for now.
Interesting Title however the content is not the "Debian way" unfortunately and will give wrong advices to newbies.
I don't think you can have initrd image from a vanilla kernel as debian kernel sources have a special patch for cramfs.
Herbert Xu takes great care to package kernel-sources with security patch from development versions. The safest is to use them, unless you're a developper yourself.