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For each of the following algebraic expressions for the z-transform of a signal

Chapter 10, Problem 10.5

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QUESTION:

For each of the following algebraic expressions for the z-transform of a signal, determine the number of zeros in the finite z-plane and the number of zeros at infinity. 2(1- z-1) (c) (1- z- 1)(1 + z- 1)

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QUESTION:

For each of the following algebraic expressions for the z-transform of a signal, determine the number of zeros in the finite z-plane and the number of zeros at infinity. 2(1- z-1) (c) (1- z- 1)(1 + z- 1)

ANSWER:

Step 1 of 3

(a)

Calculating the zeros of the given z-transform by equating the numerator to zero,

For the first zero,

For the second zero,

Thus,

The system has one zero in the finite z-plane and one zero at infinity

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