EDN

The practicing instrumentation engineer’s guide to the DFT – Part 1: Understand DFT and FFT implementations

There are many books and articles on the Fourier Transform and its implementation available. A quick survey of these resources shows that they are not geared to the needs of the “Practicing ...
Design-Reuse

LTE Single Carrier DFT: Faster Circuits with Reduced FPGA LUT/Register Usage

Single carrier frequency division multiple access (SC-FDMA) is a part of the LTE protocol used for up-link data transmission. It involves a discrete Fourier transform (DFT) pre-coding of the ...
Physics World

Physicists achieve first entangled measurement of W states

Robust state Illustration of how discrete Fourier transform (DFT) circuits are used to achieve the entanglement measurement of the W state. (Courtesy: KyotoU/Takeuchi lab) Imagine two particles so ...
EDN

The practicing instrumentation engineer’s guide to the DFT – Part 2: Spectral leakage and windowing

What happens if we change the number of cycles of our input data to a non-integer number? With that in mind let's generate 10.5 cycles of sine wave data to use as the input to our DFT. Figure 5: For ...
VentureBeat

Fast Fourier Transform for Image Processing in DirectX 11

The Fast Fourier Transform (FFT) is an implementation of the Discrete Fourier Transform (DFT) using a divide-and-conquer approach. A DFT can transform any discrete signal, such as an image, to and ...
Electronic Design

C Program Magnifies Spectrum When An FFT Can't Hack It

Many science and engineering applications require an accurate frequency spectrum or Fourier transform of a signal. The Fourier transform of a sequence of samples of a signal is shown in Equation 1.
Hackaday

fourier transform

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording the diffraction patterns formed by shining a laser beam through it. At the ...