Reversible Hadamard transforms
A coding method which reconstruct an original digital image without distortion is called "reversible coding". In case of the classical block transform coding (Cosine, Hadamard, Haar and etc) we have to make the number of levels of the transform coefficient very large in order to reconstruct the input signal with no distortion.
Hakob Sarukhanyan +3 more
openaire +2 more sources
Nearly Optimal Deterministic Algorithm for Sparse Walsh-Hadamard Transform [PDF]
For every fixed constant $\alpha > 0$, we design an algorithm for computing the $k$-sparse Walsh-Hadamard transform of an $N$-dimensional vector $x \in \mathbb{R}^N$ in time $k^{1+\alpha} (\log N)^{O(1)}$.
Cheraghchi, Mahdi, Indyk, Piotr
core +3 more sources
Fast Hadamard transforms for compressive sensing of joint systems: measurement of a 3.2 million-dimensional bi-photon probability distribution [PDF]
We demonstrate how to efficiently implement extremely high-dimensional compressive imaging of a bi-photon probability distribution. Our method uses fast-Hadamard-transform Kronecker-based compressive sensing to acquire the joint space distribution.
Howell, John C. +2 more
core +3 more sources
Some Cryptographic Properties of Functions Based on their 2q-Nega-Hadamard Transform [PDF]
Negabent functions play a vital role in the field of cryptography and coding theory for designing secure cryptosystems. In this article, we investigate the various properties of 2q-nega-Hadamard transform (2q-NHT) of the functions from Z_q^n to Z_2q with
Deep Singh +4 more
doaj +1 more source
Optical full Hadamard matrix multiplexing and noise effects [PDF]
Hadamard multiplexing provides a considerable SNR boost over additive random noise but Poisson noise such as photon noise reduces the boost. We develop the theory for full H-matrix Hadamard transform imaging under additive and Poisson noise effects.
Burling-Claridge, G. Robert +3 more
core +2 more sources
Speech Encryption Algorithm Based on Nonorthogonal Quantum State with Hyperchaotic Keystreams
With the advancement in modern computational technologies like cloud computing, there has been tremendous growth in the field of data processing and encryption technologies. In this contest there is an increasing demand for successful storage of the data
F. J. Farsana, K. Gopakumar
doaj +1 more source
High Sensitivity Snapshot Spectrometer Based on Deep Network Unmixing
Spectral detection provides rich spectral–temporal information with wide applications. In our previous work, we proposed a dual-path sub-Hadamard-s snapshot Hadamard transform spectrometer (Sub-s HTS).
Hui Xie +4 more
doaj +1 more source
Error suppression via complementary gauge choices in Reed-Muller codes [PDF]
Concatenation of two quantum error correcting codes with complementary sets of transversal gates can provide a means towards universal fault-tolerant computation.
Chamberland, Christopher +1 more
core +2 more sources
Reversible quantum teleportation in an optical lattice [PDF]
We propose a protocol, based on entanglement procedures recently suggested by [D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999)], which allows the teleportation of an unknown state of a neutral atom in an optical lattice to another atom in another site
Bell J S +6 more
core +2 more sources
An algorithm for discrete fractional Hadamard transform
We present a novel algorithm for calculating the discrete fractional Hadamard transform for data vectors whose size N is a power of two. A direct method for calculation of the discrete fractional Hadamard transform requires $N^2$ multiplications, while ...
Cariow, Aleksandr +1 more
core +1 more source

