Q4) Discrete time signal x[n] is given as x[n] = (-)" u[n] where is unit step function. a) (5 pts) Calculate X (ejw) b)

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Q4 Discrete Time Signal X N Is Given As X N U N Where Is Unit Step Function A 5 Pts Calculate X Ejw B 1 (72.22 KiB) Viewed 55 times

Q4) Discrete time signal x[n] is given as x[n] = (-)" u[n] where is unit step function. a) (5 pts) Calculate X (ejw) b) (6 pts) Only using X(ejw) found in part-a, compute Σ=0 (² no n (Hint: Use the relation X (e/w) = Σ-o() e-jwn for a specific value of w) n=0 DFT c) (7 pts) If x[n] → X(ejw) and DFT x₁ [n] → X(ejw) dw Then, derive x₁ [n] as a function of x[n]. d) (7 pts) Now, using the results in part-b and part-c, calculate the value A which is given as A = En=o n ² (²) ²