Articles tagged with Fourier Transforms
A new mathematical approach using optics helps computers solve larger, more complex optimization problems by reducing computational demands. The framework can be applied to various real-world challenges, including facility placement and data clustering, with potential benefits for a carbon-neutral future.
Researchers developed a new photoacoustic imaging technique that addresses skin tone bias in breast cancer detection. The technique, combined with specific wavelengths and beamforming methods, enhances target visibility across all skin tones, providing clearer images with improved signal-to-noise ratios.
A novel technology to manage demands on mobile networks from multiple users has been developed by University of Leicester computer scientists. The study found a 10% power consumption reduction compared to existing technologies, with faster device selection and less resource allocation.
The UW students' achievement enables the implementation of a fractional Fourier Transform in optical pulses, allowing for more precise pulse identification and filtering. This innovation has significant implications for spectroscopy and telecommunications, where precise signal processing is crucial.
A research team from Taiwan has found a way to massively speed up aerial image simulations using wavelength scaling and fast Fourier transformation. The new algorithm improves computation speed by 4000-5000 times while maintaining only a slight intensity deviation.
A new study uses Fourier analysis to understand how deep neural networks learn complex physics. By analyzing the equation of a fully trained model, researchers were able to identify crucial information about how the network learns and generalizes. This breakthrough could accelerate the use of scientific deep learning in climate science.
Researchers have developed an all-optical processor that uses spatially-engineered diffractive surfaces to compute arbitrary linear transforms, eliminating the need for digital processors. The processing speed is comparable to light propagation, and the system consumes no power except for illumination.
Researchers from Tokyo University of Science design a new quantum circuit that calculates the fast Fourier transform, a key algorithm in engineering. The QFFT circuit exploits superposition of states to greatly increase computational speed and is more versatile than traditional QFT.
A team of scientists has proposed an efficient full-path calculation method for optical diffraction, leveraging the mathematical similarities between scalar and vector diffraction. The method uses the Bluestein approach to reduce computation time to sub-second levels, with superior flexibility in choosing ROIs and sampling numbers.
Researchers developed hyperspectral infrared nanoimaging, enabling recording of two-dimensional arrays of nano-FTIR spectra in a few hours. This technique allows for nanoscale-resolved chemical and structural information extraction, revealing spatial distribution and spectral anomalies of individual components.
MIT researchers have developed an algorithm that can perform Fourier transforms using close to the theoretical minimum number of samples. This could significantly reduce the time it takes for medical devices like MRI machines to scan patients, or allow astronomers to take more detailed images of the universe.
Researchers are exploring an emerging processing technology developed by Analog Devices Lyric Labs that could revolutionize onboard data processing in space. The technology, which represents probabilities rather than binary ones and zeros, enables parallel calculations, reducing power consumption and increasing efficiency.
Scientists at University of Warwick solve 40-year-old Fourier Transform Mass Spectrometry phasing problem, improving data quality for pharmaceuticals, healthcare, and environmental management. The breakthrough method doubles resolution and sensitivity at no extra cost.
MIT researchers have found a way to increase the speed of the Fourier transform, a fundamental concept in information sciences. The new algorithm improves on the fast Fourier transform by dividing signals into narrower slices of bandwidth, allowing for dramatic tenfold increases in speed in certain cases.