Problem 2 (15 Points)

Figure 2:

Consider the system shown in Figure 2. A signal x(t) is multiplied with the signal y(t) to produce the signal z(t). The signal z(t) is then input to an LTI system with impulse response h(t). The output of the system is kx(t), where k is an arbitrary real number. The following information is available about the signals:

X() is zero outside of the interval 0.2 0.2. y(t) is the periodic signal shown below:

Problem 2 (15 Points) x(t) 0219h(t) = kx(t) y(t) Figure 2: Consider the system shown in Figure 2. A signal x(t) is multiplied with the signal y(t) to produce the signal z(t). The signal z(t) is then input to an LTI system with impulse response h(t). The output of the system is ku(t), where k is an arbitrary real number. The following information is available about the signals: X(w) is zero outside of the interval -0.25 W