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Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same

Publications associées (45)

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The extension complexity xc(P) of a polytope P is the minimum number of facets of a polytope that affinely projects to P. Let G be a bipartite graph with n vertices, m edges, and no isolated vertices. Let STAB(G) be the convex hull of the stable sets of G. ...

Springer2017

A bipartite graph G is semi-algebraic in R-d if its vertices are represented by point sets P,Q subset of R-d and its edges are defined as pairs of points (p,q) epsilon P x Q that satisfy a Boolean combination of a fixed number of polynomial equations and i ...

European Mathematical Soc2017

Weighted least squares polynomial approximation uses random samples to determine projections of functions onto spaces of polynomials. It has been shown that, using an optimal distribution of sample locations, the number of samples required to achieve quasi ...

2017

CORRELATED MULTIPLE SAMPLING CMOS IMAGE SENSOR

Assim Boukhayma

A CMOS image sensor including at least one pixel and one circuit arranged to receive, on a first node of the circuit, an analog signal representative of the luminosity level received by the pixel, the circuit being capable of successively acquiring 2n samp ...

2016

A Fast Hadamard Transform for Signals with Sub-linear Sparsity in the Transform Domain

Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar

In this paper, we design a new iterative low-complexity algorithm for computing the Walsh-Hadamard transform (WHT) of an N dimensional signal with a K-sparse WHT. We suppose that N is a power of two and K = O(N^α), scales sub-linearly in N for some α ∈ (0, ...

Institute of Electrical and Electronics Engineers2015

Method, computer program and apparatus for measuring a distribution of a physical variable in a region

Martin Vetterli, Juri Ranieri, Amina Chebira

Method for measuring a distribution of a physical variable in a region, comprising the step of: measuring an average value of the physical variable along each of a plurality of lines in said region; estimating the distribution of the physical variable in s ...

2015

Generalized Poisson Summation Formula for Tempered Distributions

Michaël Unser, Quy Ha Nguyen

The Poisson summation formula (PSF), which relates the sampling of an analog signal with the periodization of its Fourier transform, plays a key role in the classical sampling theory. In its current forms, the formula is only applicable to a limited class ...

IEEE2015

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We propose a novel and general framework to learn compact but highly discriminative floating-point and binary local feature descriptors. By leveraging the boosting-trick we first show how to efficiently train a compact floating-point descriptor that is ver ...

Institute of Electrical and Electronics Engineers2015

Method and apparatus for identifying local features

Martin Vetterli, Alireza Ghasemi, Laurent Michel Rime

A method of local feature identification, comprising the steps of: retrieving data representing a lightfield (101); forming an epipolar volume (V) from the retrieved data; applying a transform to epipolar planes retrieved from said epipolar volume, so as t ...

2014

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

Michaël Unser, Daniel Sage, Benjamin Rappaz, Emrah Bostan, Emmanuel Augustin Julien Froustey

We present a variational reconstruction algorithm for the phase-retrieval problem by using the differential interference contrast microscopy. Principally, we rely on the transport-of-intensity equation that specifies the sought phase as the solution of a p ...

IEEE2014