Final answer:
To calculate the signal bandwidth and average power for the signal x(t), you need to find the Fourier Transform of x(t) and the frequency response of the system. The signal bandwidth represents the range of frequencies over which the signal contains most of its power. The average power of a signal is the average value of the squared magnitude of the signal.
Step-by-step explanation:
To calculate the signal bandwidth and average power for the signal x(t), we need to first find the Fourier Transform of x(t) and the frequency response of the system. The signal bandwidth represents the range of frequencies over which the signal contains most of its power. The average power of a signal is the average value of the squared magnitude of the signal.
The Fourier Transform of x(t) can be found using the properties of the sinc and triangular functions, and the frequency response of the system can be found by taking the Fourier Transform of the impulse response h(t).
Once we have the frequency response, we can determine the bandwidth by finding the range of frequencies where the magnitude of the frequency response is above a certain threshold. The average power of the signal can be calculated by integrating the squared magnitude of the frequency response over all frequencies.