This is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny little JPG files, and even powering your noise ...

If you do any electronics work–especially digital signal processing–you probably know that any signal can be decomposed into a bunch of sine waves. Conversely, you can generate any signal by adding up ...

An optical imaging system generally consists of an illumination source and a light detection unit. For conventional imaging techniques, a scene is illuminated by a uniform light field and detected ...

Students from Sydney Grammar School recreated the drug Daraprim ®, also referred to as pyrimethamine. This news was extensively reported † in December 2016. The students produced the drug by following ...

You probably have at least a nodding familiarity with the Fourier transform, a mathematical process for transforming a time-domain signal into a frequency domain signal. In particular, for computers, ...

The Allen Telescope Array, Hat Creek Radio Observatory. Credit: Alexander Pollak. Radio interferometry is a technique in radio astronomy where signals from two or more radio telescopes are combined to ...

Many authors have studied the rate of average decay of the Fourier transform of measures because of its relationship with the Falconer’s conjecture. Although examples have been given showing that the ...

The construction of a PERIODIC signal on the basis of Fourier coefficients which give the AMPLITUDE and PHASE angle of each component sine wave HARMONIC. These coefficients are obtained through ...

Nuclear magnetic resonance (NMR) spectroscopy was developed to detect protons, and has since then been applied in studying the molecular structure of proteins, RNA, DNA complexes, and interactions ...