Bode Plot - Example

Example

A passive (unity pass band gain) lowpass RC filter, for instance has the following transfer function expressed in the frequency domain:

H(jf) = \frac{1}{1+j2\pi f R C}.

From the transfer function it can be determined that the cutoff frequency point fc (in hertz) is at the frequency

f_\mathrm{c} = {1 \over {2\pi RC}}
or (equivalently) at
\omega_\mathrm{c} = {1 \over {RC}} where is the angular cutoff frequency in radians per second.

The transfer function in terms of the angular frequencies becomes:

H(j\omega) = {1 \over 1+j{\omega \over {{\omega_\mathrm{c}}}}}.

The above equation is the normalized form of the transfer function. The Bode plot is shown in Figure 1(b) above, and construction of the straight-line approximation is discussed next.

Read more about this topic:  Bode Plot

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