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Wolfram Language & System Documentation Center
WienerFilter
  • See Also
    • MedianFilter
    • TotalVariationFilter
  • Related Guides
    • Image Restoration
    • Linear and Nonlinear Filters
    • Data Transforms and Smoothing
    • Image Filtering & Neighborhood Processing
    • Audio Processing
    • Video Computation: Update History
    • Speech Computation
    • Signal Filtering & Filter Design
    • See Also
      • MedianFilter
      • TotalVariationFilter
    • Related Guides
      • Image Restoration
      • Linear and Nonlinear Filters
      • Data Transforms and Smoothing
      • Image Filtering & Neighborhood Processing
      • Audio Processing
      • Video Computation: Update History
      • Speech Computation
      • Signal Filtering & Filter Design

WienerFilter[data,r]

removes noise from data by applying a range-r Wiener filter.

WienerFilter[data,r,ns]

assumes an additive noise power value ns.

WienerFilter[data,{r1,r2,…},…]

uses radius ri at level i in data.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Data  
Parameters  
Generalizations & Extensions  
Options  
Padding  
Applications  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • MedianFilter
    • TotalVariationFilter
  • Related Guides
    • Image Restoration
    • Linear and Nonlinear Filters
    • Data Transforms and Smoothing
    • Image Filtering & Neighborhood Processing
    • Audio Processing
    • Video Computation: Update History
    • Speech Computation
    • Signal Filtering & Filter Design
    • See Also
      • MedianFilter
      • TotalVariationFilter
    • Related Guides
      • Image Restoration
      • Linear and Nonlinear Filters
      • Data Transforms and Smoothing
      • Image Filtering & Neighborhood Processing
      • Audio Processing
      • Video Computation: Update History
      • Speech Computation
      • Signal Filtering & Filter Design

WienerFilter

WienerFilter[data,r]

removes noise from data by applying a range-r Wiener filter.

WienerFilter[data,r,ns]

assumes an additive noise power value ns.

WienerFilter[data,{r1,r2,…},…]

uses radius ri at level i in data.

Details and Options

  • The data can be any of the following:
  • listarbitrary-rank numerical array
    tseriestemporal data such as TimeSeries, TemporalData, …
    imagearbitrary Image or Image3D object
    audioan Audio or Sound object
    videoa Video object
  • For multichannel images and audio signals, WienerFilter operates separately on each channel.
  • WienerFilter[data,{r1,r2,…},…] applies a Wiener filter using a convolution kernel.
  • WienerFilter assumes the index coordinate system for lists and images.
  • WienerFilter takes a Padding option. The default setting is Padding->"Fixed".
  • With setting Padding->None, WienerFilter[data,…] normally returns a result smaller than data.

Examples

open all close all

Basic Examples  (3)

Wiener filtering of a list:

Filter a TimeSeries:

Filter an image:

Scope  (10)

Data  (5)

Wiener filtering of signal with additive noise:

Filter an audio signal:

Apply WienerFilter to a grayscale image:

Wiener filtering of a 3D image:

Filtering of video frames:

Parameters  (5)

Specify one radius to be used in all directions:

Increasing the radius will result in smoother results:

Wiener filtering just in the first direction:

Second direction:

Wiener filtering of a 3D image in the vertical direction only:

Filtering of the horizontal planes only:

Use different estimates of noise power:

Generalizations & Extensions  (1)

WienerFilter works with numerical sparse arrays:

Options  (3)

Padding  (3)

Smoothing with WienerFilter using different padding methods:

By default, a "Fixed" padding is used:

Specify a custom padding:

Applications  (4)

Denoise a grayscale image:

Denoise an ultrasound image using WienerFilter:

Remove Gaussian color noise from an image:

Unsharp masking using Wiener filtering:

See Also

MedianFilter  TotalVariationFilter

Related Guides

    ▪
  • Image Restoration
  • ▪
  • Linear and Nonlinear Filters
  • ▪
  • Data Transforms and Smoothing
  • ▪
  • Image Filtering & Neighborhood Processing
  • ▪
  • Audio Processing
  • ▪
  • Video Computation: Update History
  • ▪
  • Speech Computation
  • ▪
  • Signal Filtering & Filter Design

History

Introduced in 2010 (8.0) | Updated in 2012 (9.0) ▪ 2015 (10.2) ▪ 2016 (11.0) ▪ 2025 (14.3)

Wolfram Research (2010), WienerFilter, Wolfram Language function, https://reference.wolfram.com/language/ref/WienerFilter.html (updated 2025).

Text

Wolfram Research (2010), WienerFilter, Wolfram Language function, https://reference.wolfram.com/language/ref/WienerFilter.html (updated 2025).

CMS

Wolfram Language. 2010. "WienerFilter." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/WienerFilter.html.

APA

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

BibTeX

@misc{reference.wolfram_2025_wienerfilter, author="Wolfram Research", title="{WienerFilter}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/WienerFilter.html}", note=[Accessed: 01-March-2026]}

BibLaTeX

@online{reference.wolfram_2025_wienerfilter, organization={Wolfram Research}, title={WienerFilter}, year={2025}, url={https://reference.wolfram.com/language/ref/WienerFilter.html}, note=[Accessed: 01-March-2026]}

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