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Everything about Multiresolution Fourier transform
Multiresolution Fourier Transform is an integral fourier transform that represents a specific wavelet-like transform with a fully scalable modulated window, but not all possible translations. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multiresolution Fourier transformA 5-minute orientation
- Skim a recent paper: Fourier-Transform-Based Unmixing Method for Fusion of Multiresolution Satellite ImagesInfluential work since 2022
- Pick up a classic book: The mathematics of signal processingThe most-reprinted book on the subject
- Read the landmark paper: Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth ImagesCited 171 times
- Go sideways: Negative frequencyA closely related topic
- Go sideways: Sine waveA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth Images
Vibration and current transient monitoring for gearbox fault detection using multiresolution Fourier transform
A generalized wavelet transform for Fourier analysis: the multiresolution Fourier transform and its application to image and audio signal analysis
DISTRIBUTED MULTIRESOLUTION DISCRETE FOURIER TRANSFORM AND ITS APPLICATION TO WATERMARKING
Technical Note: Gearbox Health Monitoring through Multiresolution Fourier Transform of Vibration and Current Signals
Polynomial Adaptive Synchrosqueezing Fourier Transform: A method to optimize multiresolution
Spectral Analysis of Turbulent Aerosol Fluxes by Fourier Transform, Wavelet Analysis, and Multiresolution Decomposition
Color image encryption based on discrete trinion Fourier transform and random-multiresolution singular value decomposition
🆕 Influential since 2022
📚 Books worth reading
The mathematics of signal processingSteven B. Damelin · 2011- 📕The multiresolution Fourier transformAndrew Calway · 1989
- 📕Image feature analysis using the Multiresolution Fourier TransformAndrew R. Davies · 1993
- 📕Texture analysis and synthesis using the multiresolution Fourier transformTao I. Hsu · 1994
- 📕The multiresolution Fourier transform and its application to polyphonic audio analysisEdward R. S. Pearson · 1991
Mathematical Principles of Signal ProcessingPierre Brémaud · 2002- 📕Wavelets in Scientific ComputingOle Møller Nielsen · 1998
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Negative frequency In mathematics, the concept of signed frequency (negative and positive frequency) can indicate both the rate and sense of rotation; it can be as simple…
- Sine wave A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics, as a…
- Sine and cosine transforms In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing…
- Wavelet transform In mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated…
- Hilbert transform In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces…
- Fourier transform In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent…
- Wavelet A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets…
- List of Fourier-related transforms This is a list of linear transformations of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis…