Z-transform

Unclear inverse Z-transform of $G(z) = \frac{1-p}{z-p}$

Unclear inverse Z-transform of $G(z) = \frac{1-p}{z-p}$
  1. What is the inverse Z-transform of 1?
  2. What is the formula of Z-transform?
  3. What is z in the Z-transform?

What is the inverse Z-transform of 1?

Z transform has summation limits from -infinity to + infinity. x[n] =1 is not absolutely summable. Hence Z transform doesnt exist.

What is the formula of Z-transform?

Concept of Z-Transform and Inverse Z-Transform

X(Z)|z=ejω=F. T[x(n)].

What is z in the Z-transform?

Where, z is a complex variable and it is given by, z=rejω Where, r is the radius of a circle. Also, the unilateral or one-sided z-transform is defined as − Z[x(n)]=X(z)=∞∑n=0x(n)z−n.

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