Question

Suppose a transfer function, with input R(s) and output Y(s), is modeled by the following transform expression. If you want to convert this analog system to a digital system without changing the system's bandwidth, what might be a reasonable sample period, T. Let the sample period units be seconds. Please select the sample period closest to your computed value.

G [s] = Y (s)/ R (s) = 4s + 8 / s² + 5s + 4

Answer 1

To convert the analog system to a digital system without changing the system's bandwidth, a reasonable sample period, T, would be 2 seconds.

Step-by-step explanation:

In order to convert the analog system to a digital system without changing the system's bandwidth, we need to select a sample period, T. To determine a reasonable sample period, we can find the frequency of the analog system by factoring the denominator of the transfer function. In this case, the frequency is 1/√(4) = 1/2 = 0.5Hz. Then, we can calculate the sample period, T, using the relationship T = 1/f. So, T = 1/0.5 = 2 seconds.