Consider an LTI system whose frequency response H (jω) is un known. The system has a perio...

Consider an LTI system whose frequency response H (jω) is un known. The system has a periodic input whose spectrum is shown in Fig . 1

For each part of this problem, the output of the system is given and the frequency response must be determined by selecting from the list numbered 1- 7 below. Choose the frequency response H(jω) of the system that could have produced the specific output when the input is the signal with the spectrum in Fig. 1.

(a)

(b)

(c)

(d)

(e)

The possible filters are described by the following equations and graphs (some of these may not be used) :

Figure 1