Concept
Matrice de Hadamard
Publications associées (17)
Advancing Glycan Analysis: Cryogenic Ion Spectroscopy for Database-Driven Identification
Glycans play a pivotal role in both physiological processes; however, the field of glycobiology remains relatively understudied within biochemistry. The intricate complexity of glycans, coupled with their abundance of isomeric forms, presents formidable ch ...
EPFL2023High-Throughput Multiplexed Infrared Spectroscopy of Ion Mobility-Separated Species Using Hadamard Transform
Thomas Rizzo, Ahmed Ben Faleh, Stephan Warnke, Ali H Abikhodr, Vasyl Yatsyna
Coupling vibrational ion spectroscopy with highresolution ion mobility separation offers a promising approach for detailed analysis of biomolecules in the gas phase. Improvements in the ion mobility technology have made it possible to separate isomers with ...
AMER CHEMICAL SOC2022Multiquadratic Rings and Walsh-Hadamard Transforms for Oblivious Linear Function Evaluation
The Ring Learning with Errors (RLWE) problem has become one of the most widely used cryptographic assumptions for the construction of modern cryptographic primitives. Most of these solutions make use of power-of-two cyclotomic rings mainly due to its simpl ...
IEEE2020Polarization of the Renyi Information Dimension With Applications to Compressed Sensing
Emmanuel Abbé, Saeid Haghighatshoar
In this paper, we show that the Hadamard matrix acts as an extractor over the reals of the Renyi Information Dimension (RID), in an analogous way to how it acts as an extractor of the discrete entropy over finite fields. More precisely, we prove that the R ...
Ieee-Inst Electrical Electronics Engineers Inc2017Recompression Of Hadamard Products Of Tensors In Tucker Format
The Hadamard product features prominently in tensor-based algorithms in scientific computing and data analysis. Due to its tendency to significantly increase ranks, the Hadamard product can represent a major computational obstacle in algorithms based on lo ...
Siam Publications2017Rake, Peel, Sketch
The prototypical signal processing pipeline can be divided into four blocks. Representation of the signal in a basis suitable for processing. Enhancement of the meaningful part of the signal and noise reduction. Estimation of important statistical properti ...
EPFL2017Method for determining the walsh-hadamard transform of n samples of a signal and apparatus for performing the same
Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar
A computer-implemented method for determining the Walsh-Hadamard transform of N samples of a signal, comprises electing a plurality of hashing C matrices Σ1, . . . ΣC, computing C hashes of a particular length based at least on a hashing front end and the ...
2015A 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 Engineers2015Compressed Sensing of Memoryless Sources
Compressed sensing is a new trend in signal processing for efficient sampling and signal acquisition. The idea is that most real-world signals have a sparse representation in an appropriate basis and this can be exploited to capture the sparse signal by ta ...
EPFL2014