$3.$ The sampled impulse response of a data$-$transmission system $($encompassing the transmit filter and channel$)$ is defined bypn $0\mathrm{.}0,0\mathrm{.}15,0\mathrm{.}68,0\mathrm{.}120\mathrm{.}08$For zero$-$forcing equalization of the system, it is proposed to use a three$-$tap transversal filter.$($a$)$ Calculate the adjustable weights of the equalizer.$($b$)$ Using the equalizer determined in part $($a$),$ calculate the residual intersymbolinterference at the equalizer output.$($c$)$ Identify the magnitude of the sample making the largest contribution to the residual intersymbol interference.