note

全和を計算する時代は終わった —— O(N²)を捨てて31倍速くなる方法 ...

「同じ精度が出るなら、31倍速い方がいいに決まっている」 そんな当たり前の、しかし極めて困難だった課題に対し、Ghost Drift研究所は一つの回答を提示しました。 O(N²)の全和計算をO(N log N)に置き換える方法 ―― 監査可能なFFTアルゴリズムによる31倍速化 ...
EDN

FFT Algorithm Based Audio Spectrum Analyzer

This audio spectrum analyzer utilizes an ARM7 LPC2138 microcontroller to create an FFT algorithm while performing digital signal processing without the use of special DSP processor. This audio ...
Hindustan Times

This 60-year-old algorithm made modern tech possible, from CT scans to AI to apps on your phone

It’s not often one algorithm shapes the entire arc of modern technology, but the Fast Fourier Transform (FFT) has done exactly that. Created by researchers at Princeton University and IBM in the early ...
EDN

A Simple and Efficient FFT Implementation in C++, Part I

Vlodymyr teaches at Brandenburg University of Technology, Cottbus, Germany. He can be reached at myrnyy@math.tu-cottbus.de. This article provided courtesy ofDr. Dobb’s Journal. This article describes ...
news.iastate.edu

Engineers solve 50-year-old puzzle in signal processing

AMES, Iowa – Something called the fast Fourier transform is running on your cell phone right now. The FFT, as it is known, is a signal-processing algorithm that you use more than you realize. It is, ...
TechRepublic

FFT/IFFT Processor Design for 5G MIMO OFDM Systems

In this paper, a Fast Fourier Transform (FFT) or inverse FFT processor for Fifth-Generation (5G) Multiple-Input Multiple-Output (MIMO) Orthogonal Frequency Division Multiplexing (OFDM) system’s ...
Veritasium on MSN

レーダー、Wi-Fi、5Gまで動かす数学は、核兵器を監視するために使わ ...

高速フーリエ変換、つまり FFT は、いまでは レーダー、ソナー、Wi-Fi、5G、画像圧縮 などに使われる最重要アルゴリズムのひとつです。しかし、その発展の背景には、地下で行われる 核実験 を地震波から見抜くという冷戦時代の緊迫した目的がありました ...
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 ...