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FFT algorithm gives wrong signs on my output numbers

FFT algorithm gives wrong signs on my output numbers
  1. Is FFT accurate?
  2. Why FFT is faster than DFT algorithm choose wrong description from followings?
  3. What is the output of FFT?
  4. Why bit-reversal concept is important in FFT algorithms?

Is FFT accurate?

Fast Fourier transform (FFT)-based computations can be far more accurate than the slow transforms suggest. Discrete Fourier transforms computed through the FFT are far more accurate than slow transforms, and convolutions computed via FFT are far more accurate than the direct results.

Why FFT is faster than DFT algorithm choose wrong description from followings?

FFT algorithms are faster ways of doing DFT. It is a family of algorithms and not a single algorithm. How it becomes faster can be explained based on the heart of the algorithm: Divide And Conquer.

What is the output of FFT?

These frequencies actually represent the frequencies of the two sine waves which generated the signal. The output of the Fourier transform is nothing more than a frequency domain view of the original time domain signal.

Why bit-reversal concept is important in FFT algorithms?

FFT and IFFT Blocks Data Order

Because linear ordering of the frequency indices requires a bit-reversal operation, the FFT block may run more quickly when the output frequencies are in bit-reversed order. The input to the IFFT block can be in linear or bit-reversed order.

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