102_1_Answers_Hints - ANSWERS/HINTS TO CHAPTERS(1,2,3...

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ANSWERS/HINTS TO CHAPTERS (1,2,3) PROBLEMS OF BEST TEXT NHAN LEVAN UDIP:= You Do It Please; FAI:= Forget About It; NBD:=No Big Deal 1. Chapter I 1.1. L, TV, Zero M; L, TV, C; L, TI, C; L, TV, NC; NL, TI, Zero M; L, TI; L, TV, NC. 1.2. L, TV; NL, TI. 2. Chapter II 2.1. f ( t ) = 3( t 1) U ( t 1) U (2 t ) + 4 U ( t 2) U (3 t ) + 3( t 4) U ( t 4) . 2.2. Z 1 −1 h ( t τ ) x ( τ ) d τ = 2 te t U ( t ) 2 Z t 0 ( t τ ) τ 2 e ( t τ ) d τ , t 0 , Z 1 −1 h ( τ ) x ( t τ ) d τ = 2 te t U ( t ) 2 Z t 0 τ e τ ( t τ ) 2 d τ , t 0 . Now UDIP. 2.3 & 2.4. I do not know how to sketch on my monitor! 2.5. (i) 6 e 5 ; (ii) e 4 . 2.6. Just carry out step by step then you will get it! 2.7. (i) 4 e 4 ; (ii) is a mess; (iii) ( t 2 4 t + 6) (2 t + 6) e t . 2.8. Forget About It (FAI)! 2.9. Alittle messy if system is TV. So have a go at it on the assumption that the system is TI. 2.10. h 12 ( t, τ ) = τ U ( t τ ) , h 21 ( t, τ ) = tU ( t τ ) . No! 2.11. FAI 2.12. By BT: y ( t ) = Z 1 −1 ( t τ ) e ( t τ ) U ( t τ ) x ( τ ) d τ .
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