Question

Given that x(t)=4−4e−t, and the sampling time (T) is 1s :

Plot the sampled signal (up to t=5T ).

Answer 1

The student's question pertains to plotting a sampled signal for the function x(t) with a sampling time of 1s up to 5 seconds. The sampled values were calculated at each second from t=0 to t=5, and these values can then be plotted to visualize the sampled signal.

Step-by-step explanation:

The student has asked for a plot of the sampled signal for the function x(t)=4-4e-t with a sampling time (T) of 1s, up to t=5T (which is 5 seconds).

To sample the signal at intervals of 1s, we calculate the function's value at each second from t=0 to t=5. The sampled values are as follows:

• x(0) = 4 - 4e0 = 0
• x(1) = 4 - 4e-1
• x(2) = 4 - 4e-2
• x(3) = 4 - 4e-3
• x(4) = 4 - 4e-4
• x(5) = 4 - 4e-5

These values can be plotted on a graph with time (t) on the x-axis and x(t) on the y-axis at the respective t values. This will result in discrete points on the graph, representing the sampled signal at each second, up to t=5 seconds.