a) Find the even and odd parts of the following signal x(n) = au(n). b) For...

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a) Find the even and odd parts of the following signal x(n) = a¹u(n). b) For a given sequence x(n) = (6 − n) [u(n) – u(n − 6)], make a sketch of y(n) = x(n² - 2n + 1). c) Write MATLAB script to represent the signal x(n) that has been given in (b), based on unit step function. d) If x(n) is an input to a system defined by y(n) = nx(n), find the power in the output y(n). Hint: Consider the closed form expressionΣ-onan a , at lal < 1. (1-a)² e) Express a given sequence x(n) as a sum of scale and shift unit steps. x(n) = 2 3 0 [25 Marks] n = 0 n = 1 n = 2 otherwise a) Find the even and odd parts of the following signal x(n) = a¹u(n). b) For a given sequence x(n) = (6 − n) [u(n) – u(n − 6)], make a sketch of y(n) = x(n² - 2n + 1). c) Write MATLAB script to represent the signal x(n) that has been given in (b), based on unit step function. d) If x(n) is an input to a system defined by y(n) = nx(n), find the power in the output y(n). Hint: Consider the closed form expressionΣ-onan a , at lal < 1. (1-a)² e) Express a given sequence x(n) as a sum of scale and shift unit steps. x(n) = 2 3 0 [25 Marks] n = 0 n = 1 n = 2 otherwise

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