LPF design with pole/zero placement at rejection at specified freq

1. How do poles and zeros affect frequency response?
2. What is pole-zero placement method?
3. What is zero and pole filter?
4. Do low-pass filters have 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.

What is pole-zero placement method?

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.

What is zero and pole filter?

Poles and zeros are properties of the transfer function, and in general, solutions that make the function tend to zero are called, well, zeros, and the roots that make the function tend towards its maximum function are called poles.

Do low-pass filters have zeros?

(All low-pass filters have at least one zero at ω = infinity, but these don't appear in the pole-zero diagram and can usually be ignored.)