Howtosignalprocessing
- What is discontinuous function in Fourier series?
- What are discontinuities in signals?
- What are the limitations of FFT?
- What is 64 point FFT?
What is discontinuous function in Fourier series?
Fourier series representation of such function has been studied, and it has been pointed out that, at the point of discontinuity, this series converges to the average value between the two limits of the function about the jump point.
What are discontinuities in signals?
The discontinuous signal consists of a slow sine wave abruptly followed by a medium sine wave. The first- and second-level details ( D 1 and D 2) show the discontinuity most clearly, because the rupture contains the high-frequency part.
What are the limitations of FFT?
A disadvantage associated with the FFT is the restricted range of waveform data that can be transformed and the need to apply a window weighting function (to be defined) to the waveform to compensate for spectral leakage (also to be defined). An alternative to the FFT is the discrete Fourier transform (DFT).
What is 64 point FFT?
The 64-point FFT is realized by decomposing it into a two-dimensional structure of 8-point FFTs. This approach reduces the number of required complex multiplications compared to the conventional radix-2 64-point FFT algorithm. The complex multiplication operations are realized using shift-and-add operations.
