Electric Circuits and Networks

15.13 SINUSOIDAL STEADY-STATE FREQUENCY RESPONSE FROM POLE-ZERO PLOTS

Let be a network function defined in a linear time-invariant circuit and let all the poles of this network function be in the left-half of s-plane excluding jω-axis. The zeros can be located anywhere in s-plane. Then the network function is stable and has an absolutely integrable impulse response. Therefore, the Fourier transform of its impulse response exists. Fourier transform of impulse response, if it exists, is the sinusoidal steady-state frequency response function H(jω) for the network function H(s). Note that sinusoidal steady-state frequency response function is definable ...