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Unformatted text preview: (w), 1/2 (t), 1/5 (t 1), 1/(2j3) (w + 3), k (w) 1.44 x(t), x(t), 1, 0, e 3 , 5, x(1), e 2 1.71 Only b, f, and h are linear. Use the procedure discussed in Example 1.9 for each part. 1.77 Only part a is causal. Explain why in each case! 1.78 a) Invertible. Inverse system equation is y(t) = dx/dt. b) Noninvertible. Why? c) Noninvertible. Why? d) Invertible (but noncausal). Inverse system equation is y(t) = x(t/3 + 3) e) Noninvertible. Why? f) Invertible. x(t) = ln[y(t)] Page 2 1.711 No, Yes, No, Yes, Yes (explain why in each case) 1.81 1.82 Dx(t) (t) 3)y (D or x(t) dt d (t) 3y (t) y dt d x(t) (t) 3)y (D or x(t) (t) 3y (t) y dt d 2 2 2 1 1 1 = + = + = + = + Dx(t) (t) 2)y 2D (D or x(t) dt d (t) 2y (t) y dt d 2 (t) y dt d x(t) D (t) 2)y 2D (D or x(t) dt d (t) 2y (t) y dt d 2 (t) y dt d 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 = + + = + + = + + = + +...
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This note was uploaded on 02/11/2010 for the course EGR 261 taught by Professor Staff during the Fall '09 term at Delaware State.
 Fall '09
 STAFF

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