Howtosignalprocessing
- What is the Fourier transform of a discrete signal?
- What are the limitations of discrete Fourier transform?
- Why do we need discrete Fourier transform DFT for signal analysis?
What is the Fourier transform of a discrete signal?
The DTFT is a transform-pair relationship between a DT signal and its continuous-frequency transform that is used extensively in the analysis and design of DT systems.
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 do we need discrete Fourier transform DFT for signal analysis?
The Discrete Fourier Transform (DFT) is of paramount importance in all areas of digital signal processing. It is used to derive a frequency-domain (spectral) representation of the signal.
