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CUDAInverseFourier

CUDAInverseFourier[cuvec]

finds the discrete inverse Fourier transform of a CUDA vector cuvec.

CUDAInverseFourier[cumat]

finds the discrete inverse Fourier transform of a CUDA matrix cumat.

CUDAInverseFourier[list]

finds the discrete inverse Fourier transform of a list of complex numbers.

Details and Options

  • The CUDALink application must be loaded using Needs["CUDALink`"].
  • CUDAInverseFourier works on one-, two-, and three-dimensional lists.

Examples

Basic Examples  (4)Summary of the most common use cases

First, load the CUDALink application:

In[1]:=1
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-9h8a50

This computes the one-dimensional inverse Fourier transform using CUDA:

In[1]:=1
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-nmob2
Out[1]=1

The result agrees with the Wolfram Language:

In[2]:=2
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-ljtg25
Out[2]=2

CUDAInverseFourier works on two-dimensional datasets. Here, a dataset is generated:

In[1]:=1
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-q07so

Find the logarithmic power spectrum:

In[2]:=2
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-o0d
Out[2]=2

CUDAInverseFourier is the inverse of CUDAFourier:

In[1]:=1
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-mwjhns
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0gz11h0e04k2yw308dz608glmv2-c96bho
Out[2]=2
Wolfram Research (2010), CUDAInverseFourier, Wolfram Language function, https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html.
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Wolfram Research (2010), CUDAInverseFourier, Wolfram Language function, https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html.

Text

Wolfram Research (2010), CUDAInverseFourier, Wolfram Language function, https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html.

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Wolfram Research (2010), CUDAInverseFourier, Wolfram Language function, https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html.

CMS

Wolfram Language. 2010. "CUDAInverseFourier." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html.

✖
Wolfram Language. 2010. "CUDAInverseFourier." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html.

APA

Wolfram Language. (2010). CUDAInverseFourier. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html

✖
Wolfram Language. (2010). CUDAInverseFourier. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html

BibTeX

@misc{reference.wolfram_2024_cudainversefourier, author="Wolfram Research", title="{CUDAInverseFourier}", year="2010", howpublished="\url{https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html}", note=[Accessed: 21-June-2025 ]}

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@misc{reference.wolfram_2024_cudainversefourier, author="Wolfram Research", title="{CUDAInverseFourier}", year="2010", howpublished="\url{https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html}", note=[Accessed: 21-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2024_cudainversefourier, organization={Wolfram Research}, title={CUDAInverseFourier}, year={2010}, url={https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html}, note=[Accessed: 21-June-2025 ]}

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@online{reference.wolfram_2024_cudainversefourier, organization={Wolfram Research}, title={CUDAInverseFourier}, year={2010}, url={https://reference.wolfram.com/language/CUDALink/ref/CUDAInverseFourier.html}, note=[Accessed: 21-June-2025 ]}