Determine the coefficients of a linear-phase FIR filter y(n) = b0x(n) + b1x (n – 1) + b2x (n – 2) such that:

(a) It rejects completely a frequency component at ω0 = 2π/3.

(b) Its frequency response is normalized so that H(0) = 1.

(c) Compute and sketch the magnitude and phase response of the filter to check if it satisfy the requirements.