How to convert signal z(n) to z(t) mathematically?

[rashi12]

i have a signal y(t).I have sampled my signal at T0,so i got y(nT0).I multiply this signal with a random number r uniformly distributed in the range 0.95-1.05.Now z(t)=r*y(nT0).How to get z(t) mathematically?

 

[MATLABdude]

Welcome to PhysicsForums!

Are you're asking how to take a Z transform, given that you have discrete points, or are you asking how to interpolate your signal and form a continuous signal from the discrete data points that you have?