Pole-Zero Plot
A Pole-Zero Plot is a graphical representation used in control theory and signal processing to analyze the behavior of linear systems. It displays the locations of poles and zeros of a transfer function in the complex plane. Poles are values that make the denominator of the transfer function zero, while zeros are values that make the numerator zero. The positions of these points help determine system stability and frequency response.
In a Pole-Zero Plot, poles are typically marked with an "X" and zeros with a "O." The distance of poles from the origin indicates the system's stability; poles closer to the origin suggest a more stable system. This plot is essential for engineers and scientists working with systems like filters, control systems, and signal processing.