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A Nonlinear Reconstruction Algorithm from Absolute Value of Frame Coefficients for Low Redundancy Frames
Nonlinear Reconstruction Algorithm Absolute Value of Frame Coefficients Low Redundancy Frames
2015/9/29
In this paper we present a signal reconstruction algorithm from absolute value of frame coefficients that requires arelatively low redundancy. The basic idea is to use a nonlinear embedding of the inp...
Equivalence of Reconstruction from the Absolute Value of the Frame Coefficients to a Sparse Representation Problem
frames nonlinear processing sparse representation
2015/9/29
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
The mixed Littlewood conjecture for pseudo-absolute values
Littlewood conjecture measure rigidity linear forms in logarithms
2011/1/17
In this paper we prove the mixed Littlewood conjecture for a p−adic absolute value and any pseudo-absolute value with bounded ratios. More precisely we show that if p is a prime and D is a pseud...
Modular absolute decomposition of equidimensional polynomial ideals
Modular absolute decomposition equidimensional polynomial ideals
2011/2/25
In this paper, we present a modular strategy which describes key properties of the absolute
primary decomposition of an equidimensional polynomial ideal defined by polynomials with rational coefficie...