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(Solved) 1. Simplify the following expressions involving the impulse and/ or shifted impulse and sketch the results: (a) g (t) = cos (7rt) (‘2—7; — 6 (t...


1. Simplify the following expressions involving the impulse and/ or shifted impulse and sketch the results: (a) g (t) = cos (7rt) (‘2—7; — 6 (t — 0.5)). (b) a(t) = ffoo6(7'—1)dT+rect(§)6(t—2). (c) b(t) =6(t—4)*u(t—2). Solution (a) 905) = COS (7ft) (5(t )- 5(t - 0-5)) cos(7r0)6(t ) —cos (2)6(t—0.5) 5 (t)
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Can you explain why cos(pi*t)'s t is equal to 0 in the second step?
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