(a) We wish to determine parameters for the transmission system so that the output y(t) is equal to the input (t). Determine the range of wc for which y(t) can be made equal to a(t). Explain (b) Given a value of wc in the range specified in part(a), determine the range of values of f and the value of C for which y(t)= (t). Your expression may contain wc and/or arameters of the Fourier transforms X(w)and Z(w). Briefly explain your reasoning (c) Consider next what would happen if the channel also had appreciable delay, as depicted below. Assuming that the parameters are chosen as in parts(a)and(b), find an expression for the systems frequency response, defined as Channel 4 p(t) Delay H z(t) Reminder: The first 20 problems in each chapter of O&W have answers included at the end of the text. Consider using these for additional practice, either now or as you study for� � � � � �� (a) We wish to determine parameters for the transmission system so that the output y(t) is equal to the input x(t). Determine the range of �c for which y(t) can be made equal to x(t). Explain. � (b) Given a value of �c in the range specified in part (a), determine the range of values of f and the value of C for which y(t) = x(t). Your expression may contain �c and/or parameters of the Fourier transforms X(j�) and Z(j�). Briefly explain your reasoning. (c) Consider next what would happen if the channel also had appreciable delay, as depicted below. Assuming that the parameters are chosen as in parts (a) and (b), find an expression for the system’s frequency response, defined as Y (j�) H(j�) = X(j�) Channel T Delay by x(t)� �p(t) � q(t) r(t) +�� � � � HLP (j�) � y(t) HLP (jw) × × C z(t) −�f 0 �f cos(�ct) Reminder: The first 20 problems in each chapter of O&W have answers included at the end of the text. Consider using these for additional practice, either now or as you study for tests. 4