Sampling with Arbitrary Sampling and Reconstruction Spaces and Oblique Dual Frame Vectors
نویسندگان
چکیده
منابع مشابه
Minimax Sampling with Arbitrary Spaces
We consider non-ideal sampling and reconstruction schemes in which the sampling and reconstruction spaces as well as the input signal can be arbitrary. To obtain a good reconstruction of the signal in the reconstruction space from arbitrary samples, we suggest processing the samples prior to reconstruction with a linear transformation that is designed to minimize the worst-case squarednorm erro...
متن کاملRandomized Dual Coordinate Ascent with Arbitrary Sampling
We study the problem of minimizing the average of a large number of smooth convex functions penalized with a strongly convex regularizer. We propose and analyze a novel primal-dual method (Quartz) which at every iteration samples and updates a random subset of the dual variables, chosen according to an arbitrary distribution. In contrast to typical analysis, we directly bound the decrease of th...
متن کاملSampling with arbitrary precision
We study the problem of the generation of a continuous random variable when a source of independent fair coins is available. We first motivate the choice of a natural criterion for measuring accuracy, the Wasserstein L∞ metric, and then show a universal lower bound for the expected number of required fair coins as a function of the accuracy. In the case of an absolutely continuous random variab...
متن کاملMulti-Channel Sampling on Shift-Invariant Spaces with Frame Generators
Let φ be a continuous function in L(R) such that the sequence {φ(t− n)}n∈Z is a frame sequence in L(R) and assume that the shift-invariant space V (φ) generated by φ has a multi-banded spectrum σ(V ). The main aim in this paper is to derive a multi-channel sampling theory for the shift-invariant space V (φ). By using a type of Fourier duality between the spaces V (φ) and L[0, 2π] we find necess...
متن کاملA Minimum Squared-Error Framework for Sampling and Reconstruction in Arbitrary Spaces
We consider non-ideal sampling and reconstruction schemes in which the sampling and reconstruction spaces as well as the input signal can be arbitrary. To obtain a good reconstruction of the signal in the reconstruction space from arbitrary samples, we suggest processing the samples prior to reconstruction with a linear transformation that is designed to minimize the worst-case squared-norm err...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2003
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-003-0004-2