Pole zero model representation


Creating a pole zero model

Let's build a pole zero model with the following characteristics:

Key Value

GAIN

5

POLES

(f = 1 Hz, Q = 2)

ZEROS

(f = 1 Hz), (f = 0.1 Hz)

Now let's build our first pole/zero model which has a complex pole at 10Hz of Q=2, and two zeros, one at 1Hz, one at 0.1Hz.

    m = pzmodel(5, [10 2],{1, 0.1})

We can easily obtain the response of this transfer function by using the resp method.

    resp(m)

The result is the figure shown below.

Response of a pzmodel

About the quality factor Q

The quality factor notation comes from the mechanical analogy of the harmonic oscillator. In short, we can classify systems in terms of Q as




©LTP Team