Notes

For norm="ortho" both the dst and idst are scaled by the same overall factor in both directions. By default, the transform is also orthogonalized which for types 2 and 3 means the transform definition is modified to give orthogonality of the DST matrix (see dst for the full definitions).

'The' IDST is the IDST-II, which is the same as the normalized DST-III.

The IDST is equivalent to a normal DST except for the normalization and type. DST type 1 and 4 are their own inverse and DSTs 2 and 3 are each other's inverses.

Parameters

x : array_like

The input array.

type : {1, 2, 3, 4}, optional

Type of the DST (see Notes). Default type is 2.

n : int, optional

Length of the transform. If n < x.shape[axis] , x is truncated. If n > x.shape[axis] , x is zero-padded. The default results in n = x.shape[axis] .

axis : int, optional

Axis along which the idst is computed; the default is over the last axis (i.e., axis=-1 ).

norm : {"backward", "ortho", "forward"}, optional

Normalization mode (see Notes). Default is "backward".

overwrite_x : bool, optional

If True, the contents of x can be destroyed; the default is False.

workers : int, optional

Maximum number of workers to use for parallel computation. If negative, the value wraps around from os.cpu_count() . See ~scipy.fft.fft for more details.

orthogonalize : bool, optional

Whether to use the orthogonalized IDST variant (see Notes). Defaults to True when norm=="ortho" and False otherwise.

versionadded

Returns

idst : ndarray of real

The transformed input array.

Return the Inverse Discrete Sine Transform of an arbitrary type sequence.

See Also

dst

Forward DST

Examples

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.fft._realtransforms.idstn scipy.fft._realtransforms.idst scipy.fft._realtransforms.dst

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