Howtosignalprocessing
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 importance of poles?
- What is the significance of poles and zeros in filters?
- How do poles affect stability?
- What is the significance of pole-zero plot?
What is the importance of poles?
Well, it is important because the North and South Poles are the two coldest climatic regions on Earth, and they affect the climate of the entire planet. The South Pole is located on a continent covered by an immense icecap. It is completely white and very cold, as is the ocean which surrounds it.
What is the significance of poles and zeros in filters?
Every digital filter can be specified by its poles and zeros (together with a gain factor). Poles and zeros give useful insights into a filter's response, and can be used as the basis for digital filter design.
How do poles affect stability?
Poles and Stability
When the poles of the closed-loop transfer function of a given system are located in the right-half of the S-plane (RHP), the system becomes unstable. When the poles of the system are located in the left-half plane (LHP) and the system is not improper, the system is shown to be stable.
What is the significance of pole-zero plot?
A pole-zero plot shows the location in the complex plane of the poles and zeros of the transfer function of a dynamic system, such as a controller, compensator, sensor, equalizer, filter, or communications channel.
