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Related Concept Videos

Impulse Response01:17

Impulse Response

The impulse response is the system's reaction to an input impulse. In an RC circuit, the voltage source is the input, and the capacitor's voltage is the output. The system's state and output response before and after input excitation are distinctly defined.
Kirchhoff's law forms an input signal equation, with the capacitor's current and voltage providing the output. Substituting the current and dividing by RC yields a differential equation. The output for an impulse input is the impulse...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
Impulse01:13

Impulse

According to Newton’s second law of motion, the rate of change of the momentum of an object is the net external force acting on it. The total change in momentum between two timepoints thus depends on both the external force acting on it and the time over which it acts. Describing this mathematically, the total change of an object’s motion is proportional to the force vector and the time over which it is applied. This product is called impulse.
Additionally, it can be shown that the total...

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Extracting Visual Evoked Potentials from EEG Data Recorded During fMRI-guided Transcranial Magnetic Stimulation
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Extracting Visual Evoked Potentials from EEG Data Recorded During fMRI-guided Transcranial Magnetic Stimulation

Published on: May 12, 2014

Fast impulsive noise removal.

P S Windyga1

  • 1Institute for Simulation and Training, University of Central Florida, Orlando, FL 32826-0544, USA. pwindyga@ist.ucf.edu

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 6, 2008
PubMed
Summary

A new recursive nonlinear filter efficiently removes impulsive noise from images. This novel filter preserves image data and histogram range while being faster than the median filter.

Area of Science:

  • Digital Image Processing
  • Signal Processing
  • Computer Vision

Background:

  • Impulsive noise, often called salt-and-pepper noise, degrades image quality.
  • Existing filters like the median filter are effective but can be computationally intensive.
  • Efficient noise reduction is crucial for subsequent image analysis tasks.

Purpose of the Study:

  • To introduce a novel n-dimensional recursive nonlinear filter for impulsive noise elimination.
  • To evaluate the performance of this new filter against the standard median filter.
  • To explore its applicability in preliminary image processing for noise removal.

Main Methods:

  • A recursive nonlinear filter employing two independent conditional rules.
  • Identification of noisy pixels by neighborhood inspection.

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High Density Event-related Potential Data Acquisition in Cognitive Neuroscience
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High Density Event-related Potential Data Acquisition in Cognitive Neuroscience

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  • Replacement of noisy pixel values with conservative neighbor values, conserving histogram distribution.
  • Decomposition into lower-dimensional filters for implementation, focusing on 2D signals (images).
  • Main Results:

    • The proposed filter demonstrates comparable performance to the median filter in noise reduction and information conservation.
    • The new filter is significantly faster than the median filter.
    • Effective in reducing noise in both synthetic and real images, with a slight smoothing effect on non-noisy regions.

    Conclusions:

    • The developed n-dimensional filter offers a faster and effective alternative to the median filter for impulsive noise reduction.
    • Its speed and comparable performance suggest its suitability as a replacement for median filtering in advanced noise removal pipelines.
    • The filter is scalable, easily implemented, and adaptable for various applications.