3. (30 points) Consider the characteristics of the following digitalcommunication system. a. (8 points) A signal x(t) is used to transmit bits. Shown below is theFourier Transform, X(f) of the

signal shown on a frequency scale. What is the bit rate? b. (4 points) What percentage of the energy is included from the originalcomplete spectrum? c. (8 points) Show the plot of the time domain signal y(t) that wouldtransmit at twice the bit rate as x(t). d. (10 points) Now consider a different signal. What is the maximum bit rate Than can be transmitted over a channel with 100 kHz maximum frequency? 95% of the signal energy is transmitted.