Howtosignalprocessing
- How do you interpolate with FFT?
- What is sinc interpolation formula?
- How does sinc interpolation work?
- What is zero padding in FFT?
How do you interpolate with FFT?
The fastest way to compute a single interpolated FFT spectral sample at frequency k is to merely compute a brute force N‑point DFT of the original x(n) time samples using: where, again, 0 ≤ k ≤ N‑1, and k is not an integer. Assuming the x(n) input in Eq. (6) is real-only, the computational workload comparison of Eq.
What is sinc interpolation formula?
x(t)=∞∑n=−∞xs(n)sinc(t/Ts−n). This perfect reconstruction formula is known as the Whittaker-Shannon interpolation formula and is sometimes also called the cardinal series.
How does sinc interpolation work?
The well known and commonly used digital signal processing method for discrete sinc-interpolation is 'zero padding'. It is implemented by padding the signal discrete Fourier transform (DFT) spectrum with an appropriate number of zeros and performing the inverse transformation of the padded spectrum.
What is zero padding in FFT?
``Zero-padding'' means adding additional zeros to a sample of data (after the data has been windowed, if applicable). For example, you may have 1023 data points, but you might want to run a 1024 point FFT or even a 2048 point FFT.
