Howtosignalprocessing
Summary Table
| Property | Signal | Z-Transform |
|---|---|---|
| Linearity | αx1(n)+βx2(n) | αX1(z)+βX2(z) |
| Time shifing | x(n−k) | z−kX(z) |
| Time scaling | x(n/k) | X(zk) |
| Z-domain scaling | anx(n) | X(z/a) |
- What is the shifting property of Z-transform?
- What is linearity property of Z-transform?
- What are the types of Z-transform?
- What is meant by z transformation?
What is the shifting property of Z-transform?
Time Shifting: If we have a time-shifted sequence such as x[n-k], then its z-transform is given by Z x[n-k] = z^-kX(z). Let's take n – k = m, i.e., n = k + m and y[n] = x[n-k].
What is linearity property 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 types of Z-transform?
The Z-transform may be of two types viz. unilateral (or one-sided) and bilateral (or two-sided).
What is meant by z transformation?
Z transformation is the process of standardization that allows for comparison of scores from disparate distributions. Using a distribution mean and standard deviation, z transformations convert separate distributions into a standardized distribution, allowing for the comparison of dissimilar metrics.
