Abstract: A stochastic gravitational wave background (SGWB) is expected to be generated from a population of unresolved sources and potentially from early Universe processes. In the nHz band, supermassive black hole binaries generate a SGWB, and there have been hints that a detection of the SGWB by pulsar timing arrays (PTAs) may be on the horizon. In this talk, I will discuss how PTA experiments characterize the expected signal of the SGWB and present a new analysis technique that may better facilitate searches for new physics.