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# 42. bode

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## 42.1 Functions and Variables for bode

Function: bode_gain (H, range, ...plot_opts...)

Function to draw Bode gain plots.

Examples (1 through 7 from

```http://www.swarthmore.edu/NatSci/echeeve1/Ref/Bode/BodeHow.html,
```

8 from Ron Crummett):

```(%i1) load("bode")\$

(%i2) H1 (s) := 100 * (1 + s) / ((s + 10) * (s + 100))\$

(%i3) bode_gain (H1 (s), [w, 1/1000, 1000])\$

(%i4) H2 (s) := 1 / (1 + s/omega0)\$

(%i5) bode_gain (H2 (s), [w, 1/1000, 1000]), omega0 = 10\$

(%i6) H3 (s) := 1 / (1 + s/omega0)^2\$

(%i7) bode_gain (H3 (s), [w, 1/1000, 1000]), omega0 = 10\$

(%i8) H4 (s) := 1 + s/omega0\$

(%i9) bode_gain (H4 (s), [w, 1/1000, 1000]), omega0 = 10\$

(%i10) H5 (s) := 1/s\$

(%i11) bode_gain (H5 (s), [w, 1/1000, 1000])\$

(%i12) H6 (s) := 1/((s/omega0)^2 + 2 * zeta * (s/omega0) + 1)\$

(%i13) bode_gain (H6 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10\$

(%i14) H7 (s) := (s/omega0)^2 + 2 * zeta * (s/omega0) + 1\$

(%i15) bode_gain (H7 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10\$

(%i16) H8 (s) := 0.5 / (0.0001 * s^3 + 0.002 * s^2 + 0.01 * s)\$

(%i17) bode_gain (H8 (s), [w, 1/1000, 1000])\$
```

To use this function write first `load("bode")`. See also `bode_phase`

Categories:  Plotting · Package bode

Function: bode_phase (H, range, ...plot_opts...)

Function to draw Bode phase plots.

Examples (1 through 7 from

```http://www.swarthmore.edu/NatSci/echeeve1/Ref/Bode/BodeHow.html,
```

8 from Ron Crummett):

```(%i1) load("bode")\$

(%i2) H1 (s) := 100 * (1 + s) / ((s + 10) * (s + 100))\$

(%i3) bode_phase (H1 (s), [w, 1/1000, 1000])\$

(%i4) H2 (s) := 1 / (1 + s/omega0)\$

(%i5) bode_phase (H2 (s), [w, 1/1000, 1000]), omega0 = 10\$

(%i6) H3 (s) := 1 / (1 + s/omega0)^2\$

(%i7) bode_phase (H3 (s), [w, 1/1000, 1000]), omega0 = 10\$

(%i8) H4 (s) := 1 + s/omega0\$

(%i9) bode_phase (H4 (s), [w, 1/1000, 1000]), omega0 = 10\$

(%i10) H5 (s) := 1/s\$

(%i11) bode_phase (H5 (s), [w, 1/1000, 1000])\$

(%i12) H6 (s) := 1/((s/omega0)^2 + 2 * zeta * (s/omega0) + 1)\$

(%i13) bode_phase (H6 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10\$

(%i14) H7 (s) := (s/omega0)^2 + 2 * zeta * (s/omega0) + 1\$

(%i15) bode_phase (H7 (s), [w, 1/1000, 1000]),
omega0 = 10, zeta = 1/10\$

(%i16) H8 (s) := 0.5 / (0.0001 * s^3 + 0.002 * s^2 + 0.01 * s)\$

(%i17) bode_phase (H8 (s), [w, 1/1000, 1000])\$

(%i18) block ([bode_phase_unwrap : false],
bode_phase (H8 (s), [w, 1/1000, 1000]));

(%i19) block ([bode_phase_unwrap : true],
bode_phase (H8 (s), [w, 1/1000, 1000]));
```

To use this function write first `load("bode")`. See also `bode_gain`

Categories:  Plotting · Package bode

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