In 1929, the physicist Paul Dirac wrote, “The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the ...

At its core, DFT postulates that the ground-state energy of a quantum system is a functional of the electron density. This principle, known as the Hohenberg-Kohn theorem, simplifies the problem of ...

To keep up with time-to-market demands when SoCs keep increasing in size and complexity requires the adoption of better DFT flows and technologies. One of the most successful changes in ...

One of the most significant design trends of the decade is the widespread use of ARM® multicore processors in systems-on-chip (SoCs). Designers’ ability to easily and cost-effectively employ multiple, ...

Before we proceed, let's quickly review our filter bank example. Our example, shown in Figure 1, is a size 16 DFT filter bank. The color scheme shows the sample rate change where a 16 MHz input sample ...

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 ...