142 2.22. For each of the following pairs of waveforms, use the convolution integral to find the response y(r) of the LTT system with impulse response h(r) to the input x(1).

Sketch your results. (a) x(1) = h(t)= u(t) u(t) (Do this both when a B and when a = B.) (b) x(t) = u(1) -2u(1-2) + u(-5) h(t)= eu(1-1) (e) x(r) and h(1) are as in Figure P2.22(a). (d) x(r) and h(r) are as in Figure P2.22(b). (e) x(r) and h(r) are as in Figure P2.22(c). Linear Time-Invariant Systems Chap. 2/nor each of the following pairs of waveforms, use the convolution integral to find the 987 sponse vir) of the LTI system with impulse response (r) to the input x(r). Sketch our results. x(1) eu(t)) h(t)eu(t)) (Do this both when a B and when a - B.) 142 (b) x(t)= u(t)- 2u(1-2)+(-5) h(t)eu(1-1) (e) x(r) and h(r) are as in Figure P2.22(a). (d) x(r) and h(r) are as in Figure P2.22(b). (e) x(r) and h(r) are as in Figure P2.22(c). no One period of sin NO 2 (c) xh Siopea www Linear Time-Invariant Systems Chap. 2 ht) Figure P2.22