Bode Plot

Electrical Engineering

How It Works

A Bode plot provides a graphical characterization of the steady-state frequency response of a linear time-invariant (LTI) dynamic system. It consists of two companion semilogarithmic plots: the system gain expressed in decibels (20 log₁₀|H(jω)|) and the phase angle in degrees, both plotted against the logarithm of frequency. By evaluating asymptotic slopes, corner frequencies, and phase transitions, engineers rapidly determine bandwidth, filtering characteristics, and stability margins.

Governing Equation
|H(jω)|_dB = 20 log₁₀ |1 / (1 + j(ω / ω₀))|   |   ∠H(jω) = -arctan(ω / ω₀)