A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

Sparse Fourier Transform (SFT) algorithms constitute a transformative approach to spectral analysis by leveraging the inherent sparsity of signals in the frequency domain. In contrast to the ...

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 ...

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 ...

A group of MIT researchers believe they’ve found a way to speed up audio, video, and image compression by improving on the Fourier Transform. They say the new algorithm is up to ten times faster than ...

Engineers have solved a 50-year-old puzzle in signal processing. They've formulated the 'inverse chirp z-transform,' an algorithm related to one that's running on your cell phone right now. It took ...

Engineers targeting DSP to FPGAs have traditionally used fixed-point arithmetic, mainly because of the high cost associated with implementing floating-point arithmetic. That cost comes in the form of ...

This article discusses the application of SPIP™ Extended Fourier analysis module for interpreting surface structures and distortions. The SPIP™ software allows users to detect and measure atomic ...