Howtosignalprocessing
- How do poles and zeros affect frequency response?
- How do poles affect frequency response?
- How do you read a pole-zero plot?
- How do you determine stability from poles and zeros?
How do poles and zeros affect frequency response?
A pole frequency corresponds to a corner frequency at which the slope of the magnitude curve decreases by 20 dB/decade, and a zero corresponds to a corner frequency at which the slope increases by 20 dB/decade.
How do poles affect frequency response?
When the poles are close to the unit circle, the frequency response has peaks at ±0.2π. 4. The closer the poles are to the unit circle, the sharper the peak is. Poles at the origin (z = 0) have no effect on |Hf (ω)|.
How do you read a pole-zero plot?
By convention, the poles of the system are indicated in the plot by an X while the zeros are indicated by a circle or O. A pole-zero plot can represent either a continuous-time (CT) or a discrete-time (DT) system. For a CT system, the plane in which the poles and zeros appear is the s plane of the Laplace transform.
How do you determine stability from poles and zeros?
If all the poles lie in the left half of the s-plane, then the system is stable. If the system has two or more poles in the same location on the imaginary axis, then the system is unstable. If the system has one or more non-repeated poles on the imaginary axis, then the system is marginally stable.
