Gaussian interpolation and sinc filter-based interpolation are both methods used in digital to analog conversion (DAC) to reconstruct a continuous signal from its digital samples.
Gaussian interpolation uses a Gaussian function to fill in the gaps between the digital samples. The Gaussian function is centered on the known samples and its width controls the amount of smoothing applied to the signal. Gaussian interpolation is known for its ability to effectively reduce noise and smooth out discontinuities in the signal. However, it may introduce some blurring to the reconstructed signal and may not accurately represent high-frequency components of the signal.
Sinc filter-based interpolation, on the other hand, uses a sinc function to interpolate the signal between the digital samples. The sinc function is the ideal low-pass filter and is used to reconstruct a continuous signal that accurately represents the high-frequency components of the signal. Sinc filter-based interpolation is often used in high-precision DACs where preserving the high-frequency content of the signal is important. However, it can also result in ringing artifacts near the edges of the signal if the cutoff frequency is not carefully chosen.
In summary, Gaussian interpolation is better suited for reducing noise and smoothing the signal, while sinc filter-based interpolation is better for preserving the high-frequency content of the signal. The choice between the two methods depends on the specific requirements of the application and the trade-off between smoothness and high-frequency accuracy in the reconstructed signal.