A strictly proper transfer function represents a causal CT-TLIS that has no instantaneous transmission from input to output. For this reason, its impulse response does not have an impulse in t = 0.

To determine the transfer function of such system,b_{0} = 0 and k is substituted for b_{1}, to represent a generic gain. The function becomes:

H(s) = \frac{k}{s+a}

The analysis of this function is divided in two parts. The first is in the time domain and computes the responses to the unit impulse, the unit step and a sinusoid, as mentioned before. The second is devoted to the Bode Diagram.

• Responses in the Time Domain

Compute the responses to the given functions. For each one, fill the "boxes" with the values of the parameters.

Impulse Response

     k =       a =       Final Time =  s

     

Step Response

     k =       a =       Final Time =  s

     

Response to a Sinusoid

     k =       a =        Final Time =  s

     Frequency =  Hz     Amplitude =       

     

• Bode Diagram

To compute the Bode Diagram, fill the "boxes" with the values of the parameters.

k =       a =       Frequency from a  Hz