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.
Why is it called Z-transform?
Indeed, the z-transform of a sequence is the generating function of this sequence, where the independent variable z is replaced by its reciprocal 1/z. The z-transformation or z-transform today is applied to model sample-data control systems or other discrete-data systems.
What domain is z?
Z domain is a complex domain also known as complex frequency domain, consisting of real axis(x-axis) and imaginary axis(y-axis). A Signal is usually defined as a sequence of real or complex numbers which is then converted to the Z - domain by the process of z transform.
What is the formula of Z-transform?
Concept of Z-Transform and Inverse Z-Transform
X(Z)|z=ejω=F. T[x(n)].