Assume that a tone message m$($t$)=2$cos$(20$m$)$ is transmitted using the modulation system depicted below. m$($t$)$ M $$ s$($t$)$ v cos$(1000$mt$)1)$ Assume that V$=2.$ What type of modulation does this correspond to$?$ Give the corresponding formula for s$($t$).$ ii$)$ Assume that V $=0.$ What type of modulation does this correspond to$?$ Give the corresponding formula for s$($t$).$ i$)$ Assume that V $=0.$ How would you modify the given modulation system such that the output signal is s$($t$)=$ cos$(1020$mrt$)?($Hint: you may need to add an additional component.$)$ What type of modulation does this correspond to$?$