8 Convolutioii and Impulse Resporise 192 3c fd ‘= I t e S( 1- 2tj dt -cx ’ Giw r,?(t)and rt7(t)iisirrg t,hc stcp function E ( t ) for Irmtli, t h m f o r m tlie derivations aiitl sketch them xercise Form the derivation of j’(t) = ~ ( - t ) xercise 8.5 Form the derivation of , f ( t )= ~ ( n t ) ~ X ~ 8.6 ~ ~ C ~ S ~ You a ~ giTerr e the fuiictions f ( t ) = t e ( t ) and g ( t ) = ~ ( t-)E ( [ - 4) Calculate y(t) = f ( t ) * g(t) iiriiig the conwohition intcygal xereise 8.7 Esairriire the followixig signals: