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Determine the z-transform for the following sequences. Express all sums in closed form

Chapter 10, Problem 10.22

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QUESTION:

Determine the z-transform for the following sequences. Express all sums in closed form. Sketch the pole-zero plot and indicate the region of convergence. Indicate whether the Fourier transform of the sequence exists. (a) (4)n{u[n + 4]- u[n- 5]} (b) n(4)1nl (c) lnl(4)1nl (d) 4n case; n + *]u[ -n- 1]

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QUESTION:

Determine the z-transform for the following sequences. Express all sums in closed form. Sketch the pole-zero plot and indicate the region of convergence. Indicate whether the Fourier transform of the sequence exists. (a) (4)n{u[n + 4]- u[n- 5]} (b) n(4)1nl (c) lnl(4)1nl (d) 4n case; n + *]u[ -n- 1]

ANSWER:

Step 1 of 5

a)

Defining the sequence ,

Defining the sequence ,

Therefore, defining the sequence ,

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