A filter has the unit impulse response h$[$k$]$ given by h$[$k$]=14$ $[$k $+1]+12$ $[$k$]14$ $[$k $1](1)$ Calculate the frequency response H$()$ using its definition, in particular, calculate the magnitude $|$H$()|$ and the phase arg H$().(2)$ If the input is given as f$[$k$]=2$ cos$($ $2$ k$),$ what is the output signal y$[$k$]?($Use the physical meaning of the frequency response of a LTI system, that is$,$ how the LTI system modifies an input sinusoidal signal.$)$