Bode plots visualize the frequency response of a linear time-invariant system using two panels: the magnitude response (in decibels) and the phase response (in degrees), both plotted against frequency on a logarithmic axis. They are a fundamental tool in control systems engineering and signal processing for assessing stability, gain margins, phase margins, and filter characteristics.

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{
  "data": [
    {
      "freq": 0.1,
      "magnitude": 20,
      "phase": -5.7
    },
    {
      "freq": 0.5,
      "magnitude": 19.6,
      "phase": -26.6
    },
    {
      "freq": 1,
      "magnitude": 17,
      "phase": -45
    },
    {
      "freq": 2,
      "magnitude": 11,
      "phase": -63.4
    },
    {
      "freq": 5,
      "magnitude": 2,
      "phase": -78.7
    },
    {
      "freq": 10,
      "magnitude": -4,
      "phase": -84.3
    },
    {
      "freq": 20,
      "magnitude": -10.1,
      "phase": -87.1
    },
    {
      "freq": 50,
      "magnitude": -18,
      "phase": -88.9
    },
    {
      "freq": 100,
      "magnitude": -24.1,
      "phase": -89.4
    },
    {
      "freq": 200,
      "magnitude": -30.1,
      "phase": -89.7
    },
    {
      "freq": 500,
      "magnitude": -38,
      "phase": -89.9
    },
    {
      "freq": 1000,
      "magnitude": -44.1,
      "phase": -89.9
    }
  ],
  "series": [
    {
      "type": "bode",
      "frequencyKey": "freq",
      "magnitudeKey": "magnitude",
      "phaseKey": "phase"
    }
  ],
  "title": {
    "text": "First-Order Low-Pass Filter Bode Plot"
  }
}

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A Bode plot displays a system's frequency response as two charts: magnitude (dB) vs. frequency and phase (degrees) vs. frequency, both on a logarithmic frequency axis.

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