Do it step by step

Question 1 Consider a binary communication system with bit rate of R;, = 1/T}, . The transmitter consists of a mapper which maps binary digits into positive and negative impulses. These impulses pass through a pulse shaping filter and then transmitted through a channel with transfer function of 1 (white channel). In the receiver, the signal is passed through a filter which is matched to the pulse shaping filter. The output of the receive filter is sampled every T; seconds. After sampling, the decision is done based on decision threshold of 0. Assume that the transfer function of the overall system (pulse shaping filter, channel, and the matched filter) is given by X (f) as X(f) fIMHZ] 32101 23 a) Prove that if of R}, =4 MHz, there will be no inter-symbol interference. b) Are there any other values for R, to have no ISI? Justify your answer. c) In case of no ISI, what is the transfer function of the pulse shaping filter and receive filter