154 8.Convolution and Impulse ltesyoiise 1 Cltwly ~ h lap c lac^ tliansform of thc signal r ( t ) = n e O t , c ( l ) and thr s y ~ t r m fririrtion ot the RC-c'irciti( liave thr sarnr form This lrads us t o asttriw that relntioirships rxist lierc that W P have not yet dibcovered In orcler to slickl soirir light (111 thcsc rclationhips, we v\ ill first ask sonip q1wst ion? ten1 Irmction N ( s ) be arsigncd H(b) ii fiinction of timc hjt),such t h a t = L{h(f)}? ni with a particular iripiit signal tha output signal? What would Ihis sp 15 it possible to rxritr a sy tlir tiiiic function h j t j as signal look like? Can ii system mith system fuwtioii N ( ) also bc uiiiquclj icleiitifird b y the c*orrPsl)oridiiigfunction of t i i r i c ii(t) if it exists'! What docs thc func*tionA \ f ) say about a system? 1s tlierc an equimlcnt, iclniioiiship to Y ( s )= H ( s ) S ( i l )in thc timc-doiiiniir, b e h e c n y ( l ) , x(1) R I l d h@)? Tf'e will i.mYwt'r t liesr (111 ions 111 I h t ~following