Problem 2 O&W 7.30 except let the input be re(t)=8(t-T/ 2) response of an LTI, causal system with difference equatio t let hIml be the unit sample Problem 3 Answer the same questions in O&W7.31 exce yn= ryn-2+an+ran-1 Problem 4 o&w8.22 Problem 5 o&W8.49 Problem 6 The transmission system depicted below is intended to allow a signal a(t)to be transmitted through a communication channel that also carries other signals represented Channel t) y() LPG) z(t) Both x(t)and a(t)are bandlimited, and their Fourier transforms X (u)and Z(w)are real as sketched below. Notice that the bandwidth w2 of Z(w)is much greater than the band- width wx of X(w) B� � � � � �� � � � �� � � � � � � � �� � � � � � � � � � � � � � � � � � �� � Problem 2 O&W 7.30 except let the input be xc(t) = �(t − T/2). Problem 3 Answer the same questions in O&W 7.31 except let h[n] be the unit sample response of an LTI, causal system with difference equation 3 1 y[n] = y[n − 2] + x[n] + x[n − 1]. 4 4 Problem 4 O&W 8.22 Problem 5 O&W 8.49 Problem 6 The transmission system depicted below is intended to allow a signal x(t) to be transmitted through a communication channel that also carries other signals represented by z(t). Channel x(t)� �p(t) � q(t) r(t) +� � � � HLP (j�) � y(t) HLP (jw) × × C z(t) −�f 0 �f cos(�ct) Both x(t) and z(t) are bandlimited, and their Fourier transforms X(j�) and Z(j�) are real, as sketched below. Notice that the bandwidth �z of Z(j�) is much greater than the band￾width �x of X(j�). X(j�) Z(j�) A B � �� �� � −�x �x −�z �z 3