Question

The system shown below is what is called a "Zero Order Hold". The figure shows the impulse response of the system.

w(t)
s(t) →t(s) →|
|______ t
t=0 t=5

From the figure, find the transfer function of the Zero Order Hold T(s)

Answer 1

The transfer function of a Zero Order Hold system can be derived by taking the Laplace transform of the impulse response, which is a sampled rectangular pulse. The transfer function is given by T(s) = sin(sT) / (sT), where T is the sampling period.

Step-by-step explanation:

The transfer function of the Zero Order Hold system can be determined from the impulse response shown in the figure. The impulse response represents the output of the system when an impulse input is applied. In this case, the impulse response is a sampled rectangular pulse, which indicates that the Zero Order Hold system is essentially a sample-and-hold device.

The transfer function of a Zero Order Hold system can be derived by taking the Laplace transform of the impulse response. The Laplace transform of a rectangular pulse is a sinc function, which is given by:

T(s) = sin(sT) / (sT)

where T is the sampling period. So, the transfer function of the Zero Order Hold system is:

T(s) = sin(sT) / (sT)