Howtosignalprocessing
- How do you represent poles and zeros in s-plane?
- What do poles and zeros represent in a transfer function?
- What is the effect of the poles and zeros in the second order system?
- What are zeros and poles of Laplace?
- What is the purpose of finding poles and zeros in ROC for a signal?
How do you represent poles and zeros in s-plane?
When mapping poles and zeros onto the plane, poles are denoted by an "x" and zeros by an "o". The below figure shows the S-Plane, and examples of plotting zeros and poles onto the plane can be found in the following section.
What do poles and zeros represent in a transfer function?
Poles and Zeros of a transfer function are the frequencies for which the value of the denominator and numerator of transfer function becomes zero respectively. The values of the poles and the zeros of a system determine whether the system is stable, and how well the system performs.
What is the effect of the poles and zeros in the second order system?
The standard second-order system has no zeros in the transfer function. If the system is modified to include a zero in it, the overshoot and settling time are greatly affected by the location of that zero. Assume that the open-loop system is modified as shown below by the addition of a zero.
What are zeros and poles of Laplace?
The poles (as you may remember from algebra) are the zeros of the polynomial in the denominator of the Laplace transform of the function. The poles are marked with an X on the complex plane. If you get a double pole (a double root of the polynomial in the denominator), then the X will be circled.
What is the purpose of finding poles and zeros in ROC for a signal?
Pole-Zero plot is an important tool, which helps us to relate the Frequency domain and Z-domain representation of a system. Understanding this relation will help in interpreting results in either domain. It also helps in determining stability of a system, given its transfer function H(z).
