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» A Theory for Sampling Signals From a Union of Subspaces
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TSP
2008
180views more  TSP 2008»
13 years 7 months ago
Algebraic Signal Processing Theory: Foundation and 1-D Time
This paper introduces a general and axiomatic approach to linear signal processing (SP) that we refer to as the algebraic signal processing theory (ASP). Basic to ASP is the linear...
Markus Püschel, José M. F. Moura
ICASSP
2011
IEEE
12 years 11 months ago
Shannon meets Nyquist: Capacity limits of sampled analog channels
We explore several fundamental questions at the intersection of sampling theory and information theory. In particular, we study how capacity is affected by a given sampling mechan...
Yuxin Chen, Yonina C. Eldar, Andrea J. Goldsmith
CORR
2008
Springer
161views Education» more  CORR 2008»
13 years 6 months ago
Compressed Sensing of Analog Signals
Abstract--A traditional assumption underlying most data converters is that the signal should be sampled at a rate exceeding twice the highest frequency. This statement is based on ...
Yonina C. Eldar
JC
2007
119views more  JC 2007»
13 years 7 months ago
Deterministic constructions of compressed sensing matrices
Compressed sensing is a new area of signal processing. Its goal is to minimize the number of samples that need to be taken from a signal for faithful reconstruction. The performan...
Ronald A. DeVore
IFSA
2003
Springer
89views Fuzzy Logic» more  IFSA 2003»
14 years 25 days ago
Lattice Fuzzy Signal Operators and Generalized Image Gradients
In this paper we use concepts from the lattice-based theory of morphological operators and fuzzy sets to develop generalized lattice image operators that are nonlinear convolutions...
Petros Maragos, Vassilis Tzouvaras, Giorgos B. Sta...