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Consider the rectangular signal x[n] = { ~ Let O::sn::s5 otherwise g[n] = x[n] - x[n -

Chapter 10, Problem 10.13

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QUESTION:

Consider the rectangular signal x[n] = { ~ Let O::sn::s5 otherwise g[n] = x[n] - x[n - 1]. (a) Find the signal g[n] and directly evaluate its z-transform. (b) Noting that n x[n] = L g[k], k=-X use Table 10.1 to determine the z-transform of x[n].

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QUESTION:

Consider the rectangular signal x[n] = { ~ Let O::sn::s5 otherwise g[n] = x[n] - x[n - 1]. (a) Find the signal g[n] and directly evaluate its z-transform. (b) Noting that n x[n] = L g[k], k=-X use Table 10.1 to determine the z-transform of x[n].

ANSWER:

Step 1 of 4

(a)

Given that,

Calculating ,

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