Data For "On-grid Compressive Sampling For Spherical Field Measurements In Acoustics" In The Journal Of The Acoustical Society Of America.

This dataset contains CSV files for the figures in the paper titled "On-grid compressive sampling for spherical field measurements in acoustics" in The Journal of the Acoustical Society of America. In this paper, we derive a compressive sampling method for spherical harmonic/spherical wavefunction or Wigner D-function series with sparse coefficients. Applications of these sparse expansions include spherical field measurements in acoustics and spherical near-field antenna measurements, to name a couple. The figures that this dataset is for are examples demonstrating the following: example acoustic field coefficients in the spherical harmonic/spherical wavefunction basis; relationships between spherical harmonic/spherical wavefunction/Wigner D-function coefficient sparsity and spatial Fourier coefficient sparsity; example compressive sampling reconstruction using our proposed compressive sampling method with and without noise; and comparisons between classical Nyquist sampling and our proposed compressive sampling method.
Organization: National Institute of Standards and Technology
Last updated: 2023-02-23T03:44:27.766871
Tags: acoustic-fields, antenna-characterization, compressive-sampling, compressive-sensing, far-field-pattern, near-field-pattern, sparse-signal-processing, spherical-harmonics, wigner-d-functions