ENEE 322 Chapter Notes -By2, Time Shifting

• School: University of Maryland
• Department: Electrical & Computer Engineering
• Course: ENEE 322
• Professor: Steven Marcus

Document Summary

1. 17 (a) since sin(t) 2 [(cid:0)1; 1], y(t) only depends on x((cid:28) ); (cid:28) 2 [(cid:0)1; 1]. Thus, y(t) is not causal. y((cid:0)(cid:25)) = x(sin((cid:0)(cid:25))) = x(0) (b) consider two arbitrary inputs x1(t) and x2(t): The response to x1(t) is y1(t) = x1(sin(t)): The response to x2(t) is y2(t) = x2(sin(t)). Let x3(t) be a linear combinition of x1(t) and x2(t), that is x3(t) = ax1(t) + bx2(t) where a and b are two arbitrary complex constants. If x3(t) is the input to the given system, then the corresponding output y3(t) is y3(t) = x3(sin(t)) 1. 19 (b, d) (b) (i) consider two arbitrary input x1[n] and x2[n]. y[n] = x2[n (cid:0) 2] x1[n] ! y1[n] = x2 x2[n] ! y2[n] = x2. Let x3[n] be a linear combinition of x1[n] and x2[n], that is x3[n] = ax1[n] + bx2[n] where a and b are arbitrary complex constants. If x3[n] is the input, the corresponding output y3[n] is y3[n] = x2.