Howtosignalprocessing
- Is DFT symmetric?
- What are the limitations of discrete Fourier transform?
- Why is the DFT mirrored?
- What is the real part of conjugate symmetric signal?
Is DFT symmetric?
Symmetry Property of Discrete-Time Fourier Transform
i.e., the real part of DTFT Xr(ω) is an even function of 𝜔, i.e., it has even symmetry property. Therefore, the imaginary part of DTFT Xi(ω) is an odd function of 𝜔, i.e., it has odd symmetry property.
What are the limitations of discrete Fourier transform?
These signals can be represented as the sum of a random discrete signal and harmonics of various frequencies. In the Fourier analysis of mixed-structure signals, the disadvantages of DFT are most significantly manifested. These disadvantages are picket-fence, leakage, aliasing effects and amplitude modulation spectrum.
Why is the DFT mirrored?
Because both the positive and negative frequency sinusoids are 90 degrees out of phase and have the same magnitude, they will both respond to real signals in the same way.
What is the real part of conjugate symmetric signal?
Every real signal, therefore, consists of an equal contribution of positive and negative frequency components.
