THE LINEAR TIME FREQUENCY ANALYSIS TOOLBOX

DOI10.1142/S0219691312500324zbMath1270.65083WikidataQ58232597 ScholiaQ58232597MaRDI QIDQ3164776

Peter Balazs, Peter L. Søndergaard, Bruno S. Torrésani

Publication date: 16 October 2012

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

mathematical softwaresignal processingGabor transformtime-frequency analysisdiscrete Fourier analysisnumerical harmonic analysismedical diagnostics computer tomographyWilson transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Trigonometric approximation (42A10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for trigonometric approximation and interpolation (65T40) Software, source code, etc. for problems pertaining to harmonic analysis on Euclidean spaces (42-04)

Related Items (16)

Time-frequency and time-scale analysis of deformed stationary processes, with application to non-stationary sound modeling ⋮ Gabor frames of Gaussian beams for the Schrödinger equation ⋮ Star DGT: a robust Gabor transform for speech denoising ⋮ Dual frames compensating for erasures -- a non-canonical case ⋮ Sharp rates of convergence for accumulated spectrograms ⋮ Representation of operators using fusion frames ⋮ A Survey on the Unconditional Convergence and the Invertibility of Frame Multipliers with Implementation ⋮ Efficient algorithms for the discrete Gabor transform with a long FIR window ⋮ Representation of the inverse of a frame multiplier ⋮ An optimally concentrated Gabor transform for localized time-frequency components ⋮ A new generalized projection and its application to acceleration of audio declipping ⋮ Linear Time Frequency Analysis Toolbox ⋮ Gabor Expansions of Signals: Computational Aspects and Open Questions ⋮ Detection-recognition algorithm based on the Gabor transform for unknown signals embedded in unknown noise ⋮ KACZMARZ ALGORITHM AND FRAMES ⋮ DISCRETE WAVELET TRANSFORM OF FINITE SIGNALS: DETAILED STUDY OF THE ALGORITHM

Uses Software

• Matlab
• Octave
• YAWTb

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient algorithms for the discrete Gabor transform with a long FIR window
• Theory, implementation and applications of nonstationary Gabor frames
• Sparse regression using mixed norms
• Basic definition and properties of Bessel multipliers
• Representation of operators in the time-frequency domain and generalized Gabor multipliers
• Sparsity and persistence: mixed norms provide simple signal models with dependent coefficients
• Dual coordinate ascent methods for non-strictly convex minimization
• Iterative algorithms to approximate canonical Gabor windows: Computational aspects
• Discrete cosine transform filtering
• Double Preconditioning for Gabor Frames
• WILSON SYSTEM FOR TRIPLE REDUNDANCY
• GG DCT COEFFICIENT MODELS
• HILBERT–SCHMIDT OPERATORS AND FRAMES — CLASSIFICATION, BEST APPROXIMATION BY MULTIPLIERS AND ALGORITHMS
• Short term spectral analysis, synthesis, and modification by discrete Fourier transform
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• De-noising by soft-thresholding
• Adapted local trigonometric transforms and speech processing
• WEIGHTED AND CONTROLLED FRAMES: MUTUAL RELATIONSHIP AND FIRST NUMERICAL PROPERTIES
• Blind Separation of Speech Mixtures via Time-Frequency Masking
• METAPLECTIC OPERATORS ON Cn
• Approximation of dual Gabor frames, window decay, and wireless communications

This page was built for publication: THE LINEAR TIME FREQUENCY ANALYSIS TOOLBOX