Which equation correctly describes the relationship between

Which equation correctly describes the relationship between sampled signals in the analog domain and sampled signals in the digital domain?

a- x(t) = x[n]

b- x(Ts) = x[n]

c- x(nTs) = x[n]

d- x[nTs] = x[n]

Solution

option c

x(nTs) = x[n] correctly describes the relationship between sampled signals in the analog domain and sampled signals in the digital domain

A random signal sampled at discrete sampling time interval with sampling frequency produces sequence of random quantities. To fill in the gaps of the signal produced by sampling at nTs times we shall interpolate the discrete signal for nTs <= t < (n+1)Ts