A 5th filter is described by the difference equation: 2y(n)=2x(n)+7 x(n-1)+3 x(n-2)-8 x(n-3)+ x(n-4)-8 x(n-5)+7 y(n-1)-3y(n-2)+5y(n-3)- y(n-4) Determine the frequency response. Plot themagnitude and the phase response of this filter. Consider the plot-π≤w≤π for 501 points. Describe the magnitude response (Low passfilter, High Pass filter, etc.) Determine the system stability.Determine the impulse response h(n). You may set the period to-100≤n≤100 Determine the unit step response for -100≤n≤100 .(Matlab)
