177 Appendix A Solutioiis to the Exerc*iscs Solution 5.4 A* A F ( S ) = - _ s A= + + j2 lirri s l+,j2 + [ F ( s )i s s i- - 72 + 1+ j ) ] = s +s I+ -3 j - s=-1 -j2 -.ja +2 j4 - -1 + ' 2 Since thcrc are 110 poleb apart from the conjugated coinplcx pair, equating coefficients is trivia As+B - - s _ _ - ~ s+3 - ( s f l ) F(S)= s2 i- 2s 32 2s (s2 t 2s 1)4-4 (st1)* 22 ( S i l ) F(s) = (s+1)2 2 (S+ t j 23 + + + + + f(1) o l u t i m 5.5 = IF' + + cos(2t) T L - ' biii(2f)l ~ ( f ) + +