Sine

Damped sinusoidal form FFT of signal

Damped sinusoidal form FFT of signal
  1. What is the FFT of a sine wave?
  2. What is FFT formula?
  3. How is FFT used in signal processing?

What is the FFT of a sine wave?

The FFT. The function fft( ) estimates the coefficients of the Fourier transform, transforming a time-domain signal (i.e., an observed fMRI time series) into a series of sine waves with different amplitudes and phases. Fourier coefficients are complex numbers, with values in the real and imaginary planes.

What is FFT formula?

The fast Fourier transform has become a major DSP tool since being popularized by Cooley and Tuckey in 1965. In the FFT formula, the DFT equation X(k) = ∑x(n)WNnk is decomposed into a number of short transforms and then recombined.

How is FFT used in signal processing?

The FFT is used to process data throughout today's highly networked, digital world. It allows computers to efficiently calculate the different frequency components in time-varying signals—and also to reconstruct such signals from a set of frequency components.

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