Problem

ARG{X(ejω)} represents the principal value of the phase of X(ejω), and arg{X(ejω)} repre...

ARG{X(e^j^ω)} represents the principal value of the phase of X(e^j^ω), and arg{X(e^j^ω)} represents the continuous phase of X(e^j^ω). Suppose that ARG{X(e^j^ω)} has been sampled at frequencies ω_k = 2πk/N to obtain ARG{X[k]} = ARG{X(e^{j (}²^π^/N)k⁾} as shown in Figure P13.10. Assuming that |arg{X[k]}−arg{X[k−1]}| < π for all k, determine and plot the sequence r[k] as in Eq. (13.49) and arg{X[k]} for 0 ≤ k ≤ 10.