Meaning
Discrete samples are expanded by mathematical reconstruction algorithms to estimate values between points using a specific filter. Utilizing sinc interpolation allows a digital oscilloscope to recreate the continuous waveform from a set of sampled points without introducing aliasing. The process relies on the assumption that the original signal contains no frequency components above the Nyquist limit.
Waveform Resolution
Increasing the number of displayed points improves the visual representation of the signal without requiring a higher hardware sampling rate.
Filter Application
The algorithm applies a mathematical function that approximates an ideal low pass filter in the time domain. This technique effectively fills the gaps between samples by summing the contributions of several neighboring points, weighted by their distance from the target interval. While computationally intensive, the method provides the most accurate reconstruction for signals that are strictly band limited.
Real time implementation requires dedicated hardware accelerators to maintain a high update rate on the display.
Processing Delay
Computation time can introduce a slight lag in the display of the reconstructed waveform. For most diagnostic tasks, this delay is negligible compared to the benefits of increased signal clarity. Accuracy decreases if the input signal contains high frequency transients that violate the sampling theorem.