Property

Properties of z-transform

Properties of z-transform

Summary Table

PropertySignalZ-Transform
Linearityαx1(n)+βx2(n)αX1(z)+βX2(z)
Time shifingx(n−k)z−kX(z)
Time scalingx(n/k)X(zk)
Z-domain scalinganx(n)X(z/a)

  1. Which of the following is property of Z-transform?
  2. What is the property of linearity of Z-transform?
  3. What are the two types of Z-transform?

Which of the following is property of Z-transform?

Explanation: According to the linearity property of z-transform, if X(z) and Y(z) are the z-transforms of x(n) and y(n) respectively then, the z-transform of x(n)+y(n) is X(z)+Y(z).

What is the property of linearity of Z-transform?

Linearity. It states that when two or more individual discrete signals are multiplied by constants, their respective Z-transforms will also be multiplied by the same constants.

What are the two types of Z-transform?

The Z-transform may be of two types viz. unilateral (or one-sided) and bilateral (or two-sided).

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