I have an essay to write titled "The Applications of The Z-Transform", I know how the transform works and how to apply it, but I was wondering if anyone knew of either a resource which would provide information about particular uses of it or just particular uses I could research.

 

Try googling "inurl: pdf z transform application" (Remove the space after the colon, the forum made it into a smiley without the space)

I found this lecture: http://www.csupomona.edu/~zaliyazici/ece308/ece308-10.pdf talking about the application of Z transforms to analyzing Linear Time Invariant (LTI) systems. I think the focus of it is that ability to determine for what values the function converges for.

Another result on that page talked about analyzing LCCDE systems with Z transforms but I am not familiar with this.