Consider the triangular pulse x[n], which is shown in Fig. P6.2-2. (a) Show that the DTFT of x[n] is represented as (b) Show that the DTFT of the x[n] can be expressed in an alternate form as (c)...

(a) Show that the DTFT of x[n] is represented as

(b) Show that the DTFT of the x[n] can be expressed in an alternate form as

(c) Using X(Ω) from part (a) or part (b) and the time-reversal and timeshifting properties, find the DTFTs of the signals x_a[n], x_b[n], x_c[n], and x_d[n], all of which are shown in Fig. P6.2-2.