Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
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TL;DR: The use of band-selective Hadamard frequency labeling for fast protein resonance assignment is demonstrated, based on the recently proposed suite of 2D experiments (Bersch et al., 2003).
Abstract: A simple and general method is presented to simplify multi-dimensional NMR spectra of isotope-labeled bio-molecules. The approach is based on band-selective Hadamard-type frequency encoding, which disperses the correlation peaks into different sub-spectra. This makes it possible to apply low-dimensionality-based NMR techniques to larger molecular systems. Here we demonstrate the use of band-selective Hadamard frequency labeling for fast protein resonance assignment, based on our recently proposed suite of 2D experiments (Bersch et al., 2003).
30 citations
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TL;DR: In this paper, the authors studied the continuous-time quantum walks on graphs in the adjacency algebra of the $n$-cube and its related distance regular graphs, and obtained the same conditions for these graphs admitting instantaneous uniform mixing.
Abstract: We study the continuous-time quantum walks on graphs in the adjacency algebra of the $n$-cube and its related distance regular graphs.
For $k\geq 2$, we find graphs in the adjacency algebra of $(2^{k+2}-8)$-cube that admit instantaneous uniform mixing at time $\pi/2^k$ and graphs that have perfect state transfer at time $\pi/2^k$.
We characterize the folded $n$-cubes, the halved $n$-cubes and the folded halved $n$-cubes whose adjacency algebra contains a complex Hadamard matrix. We obtain the same conditions for the characterization of these graphs admitting instantaneous uniform mixing.
30 citations
TL;DR: In this article, a procedure for obtaining NMR correlation information by simultaneous excitation of several chemical sites with selective radiofrequency pulses that are phase alternated according to a Hadamard matrix is described.
30 citations
TL;DR: In this paper, a new identity for Hadamard fractional integrals via differentiable mappings is established, and a new concept named s-e-condition is explored to overcome some essence difficulties from the singular kernels in Hadamards fractional integral.
Abstract: In this paper, a new identity for Hadamard fractional integrals via differentiable mappings is established. A new concept named by s-e-condition is explored to overcome some essence difficulties from the singular kernels in Hadamard fractional integrals. With the help of the new concept s-e-condition and the obtained identity for Hadamard fractional integrals, some new Ostrowski type inequalities for Hadamard fractional integrals are obtained.
30 citations
TL;DR: A real-time digital video processor using Hadamard transform techniques to reduce video bandwidth is described and algorithms related to spatial compression, temporal compression, and the adaptive selection of parameter sets are described.
Abstract: A real-time digital video processor using Hadamard transform techniques to reduce video bandwidth is described. The processor can be programmed with different parameters to investigate various algorithms for bandwidth compression. The processor is also adaptive in that it can select different parameter sets to trade-off spatial resolution for temporal resolution in the regions of the picture that are moving. Algorithms used in programming the system are described along with results achieved at various levels of compression. The algorithms relate to spatial compression, temporal compression, and the adaptive selection of parameter sets.
30 citations