Why is the fft magnitude spectra of sine not symmetric?

1. Is The FFT symmetric?
2. What is the FFT of a sine wave?
3. Is frequency response symmetric?
4. Why is DFT symmetric?

Is The FFT symmetric?

Note that an FFT result is mirrored (as in conjugate symmetric) only if the input data is real.

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.

Is frequency response symmetric?

Because frequency response H(f) is the Fourier transform of impulse response h(f), and Fourier transform of any real-valued function exhibits conjugate symmetry.

Why is DFT symmetric?

And without going into mathematical details, DFT of real valued function is symmetric, i.e. resultant Fourier function has both real and imaginary parts which are mirror images with respect to 0 frequency component.