Jon-Fredrik Hopperstad

Biwavenumber Transmission Function: A Powerful Tool For Characterizing Spectral Leakage And Aliasing In Nonuniform Sampling

We study spectral leakage and aliasing for the class of interpolators wherein the output is a linear combination of the sampled input. Spectral leakage is a fundamental problem in signal reconstruction from nonuniformly sampled data, and seismic acquisition geometries are often spatially aliased in at least one dimension. To analyze spectral leakage and aliasing, we demonstrate how the biwavenumber transmission function can be used to visualize how spectral input components are mapped in the interpolated output.