A proper transfer function represents a causal CT-LTIS that has instantaneous transmission from input to output. For this reason, its impulse response has an impulse in
t = 0.
To determine the transfer function of such system
b_{0} = 1 and
b_{1} = 0. The function becomes:
H(s) = \frac{s}{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
