for example in pdf: https://processors.wiki.ti.com/images/f/f1/TI_GPS_PPS_Timing...
Jitter can be tracked and filtered in PPS signals. The related parameter, wander, is interesting to me. Phase noise above 10 Hz is jitter. Phase noise below 10 Hz is wander.
Why?
¯\_(ツ)_/¯
Allen variation is the typical metric for wander.
I found this note from Keysight, is this is a good place to start?
http://literature.cdn.keysight.com/litweb/pdf/5988-6254EN.pd...
If you want to become a time-nut, then check out time-nuts[0]. They know their stuff and will be the most valuable resource on topics related to GPS timing: wander, allen deviation, and jitter of various sources (quartz oscillator vs rubidium, etc.)
I will say that the big test and measurement (T&M) players (Keysight, Tektronix, Rhode&Schwartz) have been the main drivers of T&M research. It's a strange field where academic work and commercial interests line up, so all of the academics work for commercial companies. They'll happily share their results and preferred approaches (except for the secret parts) in white papers and app notes. I don't think there is a good centralized repository of such documents, so it may require some hunting. Knowing keywords might be helpful. If you're mainly interested in jitter then hot things to search for are "jitter", "jitter decomposition", "TIE", "wander", and "dual-Dirac" (just off the top of my head, I'm sure the rabbit hole goes deeper if you start digging into more recent work).
I was in T&M for 7 years. I'm not currently but likely will be in the future. This[1] is the bible I learned on. It's $120 new and not too easy to find free (most of the people who would find it interesting can afford it, ie not in curriculum). Most of my learning was through osmosis over the first few years, then I taught myself the rest. I only used the book as a reference after the first year, but I wouldn't say I knew it all until maybe 5 years in (I was a student at the time too). When I flipped through it towards the end of my time I found it was a good teaching source. I suffer from the curse of knowledge, but I think if you have EE chops then this book will make perfect sense and even help build the intuition necessary to be a good test engineer.
The book is all practical T&M techniques for high-speed SERDES, so wander is outside of the scope of the book. There are other bits in the book besides jitter too (lots of tasty stuff on encodings and impedance).
0. http://www.leapsecond.com/time-nuts.htm
1. https://books.google.com/books/about/An_Engineer_s_Guide_to_...
Back in the day when "selective availability" was turned on they added "brown noise" with strong low frequency components that would defeat attempts to use temporal averaging to approve GPS accuracy.
I remember setting a receiver up outside and looking at the tracks go in circles like a spirograph.