Can anybody help me about the following problem?
I need to obtain the z-transform of a periodic function. Function f(t) is "t/a" for t values in (0,a], "1" in (a,3a], "4 - t/a" in(3a,5a], "-1" in(5a,7a], "t/a - 8" in(7a,8a] where a=pi/4. Note that this is one period and the period is 2*pi. The function repeats itself until infinity. I need to find the z transform of this time function as a rational fraction format (i.e. A(z)/B(z)). Sampling time for this continuous function is T=10ms. Is there anyone who can help me?
An alternative approach is to take the Laplace transform for the signal, and then use the relationship between the ZT and LT to move from the s-domain to the z-domain.