TransformMixin

class pysmithchart.transforms.TransformMixin[source]

Bases: object

Mixin class providing transform-related methods for SmithAxes.

Methods Summary

`get_xaxis_text1_transform`(pad_points)	Get the transformation for text on the first x-axis.
`get_xaxis_transform`([which])	Get the transformation for the x-axis.
`get_yaxis_text1_transform`(pad_points)	Get the transformation for text on the first y-axis.
`get_yaxis_transform`([which])	Get the transformation for the y-axis.
`imag_interp1d`(y, steps)	Interpolate a vector of imaginary values with evenly spaced points.
`moebius_inv_z`(*args[, normalize])	Apply the inverse Möbius transformation to reflection coefficients.
`moebius_z`(*args[, normalize])	Apply the Möbius transformation to impedance values.
`real_interp1d`(x, steps)	Interpolate a vector of real values with evenly spaced points.

Methods Documentation

get_xaxis_text1_transform(pad_points)[source]

Get the transformation for text on the first x-axis.

Parameters:: pad_points (float) – Padding in points.
Returns:: tuple – A tuple containing the transformation and text alignment information.

get_xaxis_transform(which='grid')[source]

Get the transformation for the x-axis.

Parameters:: which (str) – Specifies which gridlines the transformation is for. Defaults to “grid”.
Returns:: Transform – The transformation object for the x-axis.

get_yaxis_text1_transform(pad_points)[source]

Get the transformation for text on the first y-axis.

Parameters:: pad_points (float) – Padding in points.
Returns:: tuple – A tuple containing the transformation and text alignment information.

get_yaxis_transform(which='grid')[source]

Get the transformation for the y-axis.

Parameters:: which (str) – Specifies which gridlines the transformation is for. Defaults to “grid”.
Returns:: Transform – The transformation object for the y-axis.

imag_interp1d(y, steps)[source]

Interpolate a vector of imaginary values with evenly spaced points.

This method interpolates the given imaginary values such that, after applying a Möbius transformation with a real part of 0, the resulting points are evenly spaced.

The result is mapped back to the original space using the inverse Möbius transformation.

Parameters:

y (iterable) – Imaginary values to interpolate.
steps (int) – Interpolation steps between two points.

Returns: Interpolated imaginary values.

moebius_inv_z(*args, normalize=None)[source]

Apply the inverse Möbius transformation to reflection coefficients.

Converts reflection coefficients (S-parameters) back to impedance values (Z-parameters) using the inverse Möbius transformation. Handles both single values and arrays.

Parameters:

*args – Either a single complex number/array or separate real and imaginary parts.
normalize (bool, optional) – Whether to apply normalization. If None, uses the axes’ normalization setting.

Returns:

complex or ndarray – The transformed value(s) in Z-parameter space.

Examples

>>> s = 0.2 + 0.3j  # Reflection coefficient
>>> z = ax.moebius_inv_z(s)  # Convert to impedance

moebius_z(*args, normalize=None)[source]

Apply the Möbius transformation to impedance values.

Converts impedance values (Z-parameters) to reflection coefficients (S-parameters) using the Möbius transformation. Handles both single values and arrays.

Parameters:

*args – Either a single complex number/array or separate real and imaginary parts.
normalize (bool, optional) – Whether to apply normalization. If None, uses the axes’ normalization setting.

Returns:

complex or ndarray – The transformed value(s) in S-parameter space.

Examples

>>> z = 50 + 50j  # Impedance
>>> s = ax.moebius_z(z)  # Convert to S-parameter

real_interp1d(x, steps)[source]

Interpolate a vector of real values with evenly spaced points.

This method interpolates the given real values such that, after applying a Möbius transformation with an imaginary part of 0, the resulting points are evenly spaced.

The result is mapped back to the original space using the inverse Möbius transformation.

Parameters:

x (iterable) – Real values to interpolate.
steps (int) – Interpolation steps between two points.

Returns: Interpolated real values.