Systems of Convolution Equations, Deconvolution, Shannon Sampling, and the Wavelet and Gabor Transforms
From MaRDI portal
Publication:4320296
DOI10.1137/1036140zbMath0814.45001OpenAlexW1992082550MaRDI QIDQ4320296
Stephen D. Casey, David F. Walnut
Publication date: 22 June 1995
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1036140
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Systems of singular linear integral equations (45F15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (16)
Minimax convergence rates under the \(L^p\)-risk in the functional deconvolution model ⋮ Computationally efficient estimators for sequential and resolution-limited inverse problems ⋮ Reconstruction of the Cauchy-Riemann operator by complex integration operators along circles ⋮ Adaptive Signal Processing ⋮ RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS ⋮ DECONVOLUTION PROBLEM FOR INDICATORS OF SEGMENTS ⋮ Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions ⋮ Multichannel boxcar deconvolution with growing number of channels ⋮ On convergence rates equivalency and sampling strategies in functional deconvolution models ⋮ Uniform bounds of aliasing and truncated errors in sampling series of functions from anisotropic Besov class ⋮ Functional deconvolution in a periodic setting: uniform case ⋮ Solutions to deconvolution equations using nonperiodic sampling ⋮ Simultaneous Wavelet Deconvolution in Periodic Setting ⋮ A method for informed selection of memory-length and nonlinearity-order parameters in Volterra-Wiener systems from exponential sweep excitations ⋮ Multichannel deconvolution with long range dependence: upper bounds on the \(L^p\)-risk \((1 \leq p < \infty)\) ⋮ Nonperiodic sampling and the local three squares theorem
This page was built for publication: Systems of Convolution Equations, Deconvolution, Shannon Sampling, and the Wavelet and Gabor Transforms