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Related Concept Videos

Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

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The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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Deconvolution01:20

Deconvolution

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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
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Discrete-time Fourier transform01:26

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The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...
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Downsampling01:20

Downsampling

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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...
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Discrete Fourier Transform01:15

Discrete Fourier Transform

263
The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
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Properties of Fourier Transform II01:24

Properties of Fourier Transform II

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The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
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Updated: Jun 26, 2025

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EWT: Efficient Wavelet-Transformer for single image denoising.

Juncheng Li1, Bodong Cheng2, Ying Chen3

  • 1School of Communication and Information Engineering, Shanghai University, Shanghai, 200444, China; Shanghai Key Laboratory of Multidimensional Information Processing, East China Normal University, Shanghai, 200444, China.

Neural Networks : the Official Journal of the International Neural Network Society
|May 18, 2024
PubMed
Summary
This summary is machine-generated.

We developed an Efficient Wavelet Transformer (EWT) for image denoising. This method significantly reduces computational cost and memory usage while maintaining high performance, making Transformer-based denoising more efficient.

Keywords:
Dual-stream networkImage denoisingWavelet transform

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Area of Science:

  • Computer Vision
  • Artificial Intelligence
  • Signal Processing

Background:

  • Transformer-based methods excel at image denoising but are computationally expensive.
  • High computational cost and memory footprint limit their practical application.

Purpose of the Study:

  • To develop a resource-efficient Transformer-based image denoising method.
  • To maintain high denoising performance while reducing computational demands.

Main Methods:

  • Proposed the Efficient Wavelet Transformer (EWT).
  • Incorporated a Frequency-domain Conversion Pipeline (FCP) for resolution reduction.
  • Utilized a Multi-level Feature Aggregation Module (MFAM) with a Dual-stream Feature Extraction Block (DFEB) for hierarchical feature extraction.

Main Results:

  • Achieved over 80% faster processing speed compared to original Transformers.
  • Reduced GPU memory usage by more than 60%.
  • Denoising performance is on par with state-of-the-art methods.

Conclusions:

  • EWT significantly improves the efficiency of Transformer-based image denoising.
  • Offers a balanced approach between performance and resource consumption.
  • Provides a practical solution for efficient high-performance image denoising.