In MATLAB

It is desired to design an order-4 (i.e., length 5) filter, termed a finite-impulse response (FIR) filter, with a symmetric impulse response, h [b,b2,09,02, b1]. The input consists of the (nin(w) sin(n) sin(wzn) component w2 to pass through with unity amplitude, but perhaps with a small delay, that is, the output should y(n) = sin (w2(n-d)) sum of the three sinusoids: The filter is to be designed so that it removes the first and third components 1'3, and allows the middle have the following form (in the steady state): with the delay d to be determined Your filter design conditions are then, Since H(2)e2uB(2)e2u2, the delay introduced by the filter on the w2 component will be d - 2. Using MATLAB, solve the linear system of equations (4) for the three unknown filter coefficients bi, b2, b3, for the following specific values of w,w2 wi 0.05m, w2 0.1 'W3 0.2 [rads/sample]