Based on these signals, we can determine the magnitude. The magnitude is defined as M=A o/A i and phase is defined as ø=(Δt/T * 360º).įor the example plots below, the blue line indicates the input signal and the green line indicates the output signal. The output signal is represented by the equation I=A o sin(ωt+θ+ø) where A o is the amplitude of the output signal, ω is angular frequency, θ is the angle that the waveform has been shifted, if applicable, and ø is phase. The input signal is represented by the equation I=A i sin(ωt+θ) where A i is the amplitude of the input signal, ω is angular frequency, and θ is the angle that the waveform has been shifted, if applicable.
In the plot to the left, we have plotted the sinusoidal input and output signals of a system. The response is expected to be a sine wave of the same frequency, but may be offset in time and have a different magnitude. Recall from previous chapters our focus on Transient Response.įrequency Response allows for us to investigate the steady-state response of a system with a sinusoidal input.
